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prof. dr hab. inż. Jacek Banasiak

Jacek Banasiak 1

Zakład Modelowania Matematycznego 

Stanowisko: profesor badawczy

Pokój 142

Telefon +48 42633863

e-mail  jacek.banasiak@p.lodz.pl; BANASIAK@ukzn.ac.za

www  http://im0.p.lodz.pl/~jbanasiak

 

 

Treść (rozbudowana)
Doktoranci
  • David Wetsi Poka,  Fragmentation-coagulation with transport effects, 2023 (Uniwersytet w Pretorii) 
  • Adam Błoch, Układy telegrafu na sieciach i port-Hamiltoniany, 2023 (Politechnika Łódzka)
  • Luke Joel, Fragmentation-coagulation processes with growth and decay, 2019
  • Baaba Ghansah, Modelling malaria transmission with recrudescence, 2019
  • Aleksandra Puchalska, Układy dynamiczne w sieciach -rozwiązywalność,asymptotyka i wpływ struktury na ich własności, 2018
  • Milaine Seuneu Tchamga, Study of Singularly Perturbed Models and its Applications in Ecology and Epidemiology, 2018
  • Eddy Kimba Phongi, On singularly perturbed problems and exchange of stabilities, 2015
  • Goswami Amartya, Singularly Perturbed Models in Structured Population Biology (Kwa-Zulu-Natal Univ. RPA), 2013
  • R. Y. M'pika Massoukou, Age structured models of mathematical epidem biology (Kwa-Zulu-Natal Univ. RPA), 2013
  • P. Namayanja, Transport on Network Structures (Kwa-Zulu-Natal Univ. RPA), 2012
  • Oukoumi Noutchie Suares Clovis, Coagulation-Fragmentation Dynamics in Size and Position Structured Population Models, 2009
  • Ciake-Ciake Fidele, Positive semigroups of operators: theory and applications, 2006
  • Jan Kozakiewicz, Singularly perturbed Evolution Equations with Applications to Kinetic Theory-Analytical Method and Numerical Investigations, 2006
  • Singh Virath, A new approach to ill-posed evolution equations: C-regularized and B-Bounded semigroups, 2002
  • Parumasur Nabendra, Amplitude-shape method for stiff differential equations, 1998
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Autorstwo i redakcja książek oraz wydań specjalnych
  • Jacek Banasiak, Katarzyna Szymańska-Dębowska, Mathematical Methods in the Applied Sciences, Nonlinear analysis and differential equations. Special Issue to celebrate the 80th birthday of Jean Mawhin, 2023
  • Jacek Banasiak, Katarzyna Szymańska-Dębowska, Układy dynamiczne w modelowaniu procesów przyrodniczych, społecznych i technologicznych, Wydawnictwo Naukowe PWN, 2023
  • Jacek Banasiak, Mirosław Lachowicz, Biomathematics, Math.Methods Appl. Sci. 43, 2020
  • Jacek Banasiak, Mathematical Models and Methods in Epidemiology, Mathematical Modelling of Natural Phenomena, 2020
  • Jacek Banasiak, W. Lamb, P. Laurençot, Analytic Methods for Coagulation-Fragmentation Models, series Chapman & Hall/CRC Monographs and Research Notes in Mathematics, CRC Press (Taylor & Francis Group) (200 pkt.), 2020
  • Jacek Banasiak, A. Bobrowski, M.Lachowicz, Y. Tomilov, Semigroups of Operators, Springer Proceedings in Mathematics & Statistics, 2020
  • Jacek Banasiak, R. Anguelov, A. Debbouche, Biomathematics/advanced analysis in pure and applied sciences, Math. Methods Appl. Sci. 41, 2018
  • Jacek Banasiak, A. Bobrowski, M. Lachowicz, Semigroups of Operators -Theory and Applications, Będlewo, Poland, October 2013, Springer Proceedings in Mathematics & Statistics, Vol. 113, Heidelberg,, 2015
  • Jacek Banasiak, M. Mokhtar-Kharroubi, Evolutionary Equations with Applications in Natural Sciences, Springer, Heidelberg,, 2015
  • Jacek Banasiak, Osobliwe zaburzenia układów równań z nieizolowanymi rozmaitościami granicznymi oraz ich zastosowania, w: Metody matematyczne w zastosowaniach, Centrum zastosowań Matematyki Politechnika Gdańska,, 2015
  • Jacek Banasiak, Mirosław Lachowicz, Methods of small parameter in mathematical biology, Springer (Birkhäuser), 2014
  • Jacek Banasiak, Mathematical modelling in one dimension. An Introduction via Difference and Differential Equations., Cambridge University Press, 2013
  • A. Friedman, Urszula Ledzewicz, H. Schaettler, Jacek Banasiak, Mathematical Methods in Systems Biology and Population Dynamics, Mathematical Biosciences and Engineering, 2013
  • Jacek Banasiak, Wybrane metody matematyczne w ekologii, Wydawnictwo Politechniki Łódzkiej, 2011
  • A. Abdulle, Jacek Banasiak, A. Damlamian, M. Sango, Multiple scales problems in Biomathematics, Mechanics,Physics and Numerics, GAKUTO International Series Math.Sci. Appl., Vol. 31, 2009
  • Jacek Banasiak, V. Capasso, M. A. J. Chaplain, M. Lachowicz, J. Miękisz, Multiscale Problems in the Life Sciences From Microscopic to Macroscopic, Lecture Notes in Mathematics, Vol. 1940, 2008
  • L. Arlotti, Jacek Banasiak, Perturbations of Positive Semigroups with Applications, Springer Verlag, 2006
  • Jacek Banasiak, Janusz R. Mika, Singularly perturbed evolution equations with applications to kinetic theory, Series on Advances in Mathematics for Applied Sciences, 34, World Scientific Publishing Co., Inc., River Edge, NJ, 1995
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Publikacje w czasopismach naukowych
  • J. Banasiak, S.Y. Tchoumi, Multiscale malaria models and their uniform in-time asymptotic  analysis, Mathematics and Computers in Simulation, 221, 1–18 (2024) (70pkt.)
  • Banasiak  J., Dumont, Y. & Yatat Djeumen, I.V. Spreading Speeds and Traveling Waves for Monotone Systems of Impulsive Reaction–Diffusion Equations: Application to Tree–Grass Interactions in Fire-prone Savannas. Differ Equ Dyn Syst 31, 547–580 (2023). (40 pkt.)
  •  J. Banasiak, D.W. Poka, S. Shindin, Growth-fragmentation equations with McKendick-von  Foerster boundary conditions  Discrete and Continuous Dynamical Systems - S, (70pkt.), 17(5&6),2030-205 (2024) DOI: 10.3934/dcdss.2023039
  • B. A. Danquah, F. Chirove, J. Banasiak, Controlling malaria in a population accessing counterfeit antimalarial drugs Mathematical Biosciences and Engineering (70 pkt.), (2023) 20(7),  11895-11938, DOI: 10.3934/mbe.2023529
  • Jacek Banasiak, Adam Błoch, Telegraph systems on networks and port-Hamiltonians. I. Boundary conditions and well-posedness, Evolution Equations and Control Theory (70 pkt.), Vol.11,NO.4 (2022), pp. 1331-1355
  • David Wetsi Poka, Sergey Shindin, Jacek Banasiak, Explicit solutions to some fragmentation equations with growth or decay, Journal of Physics A-Mathematical and Theoretical (100 pkt.), 55 194001 (2022), pp 33
  • Mustapha Mokhtar-Kharroubi, Jacek Banasiak, On Spectral Gaps of Growth-Fragmentation Semigroups in Higher Moment Spaces, Kinetic and Related Models (100 pkt.), Vol. 15, No. 2 (2022), 147-185
  • Jacek Banasiak, Adam Błoch, Telegraph Systems On And Networks And Port-Hamiltonials.II. Network Realizability, Networks and Heterogeneous Media (70 pkt.), Volume 17, Number 1 (2022), 73-99
  • Woldegebriel Assefa Woldegerima, Rachid Ouifki, Jacek Banasiak, Mathematical analysis of the impact of transmission-blocking drugs on the population dynamics of malaria, Applied Mathematics and Computation (100 pkt.), 400, art. nr 126005 (2021),
  • Banasiak, Jacek. A note on the Tikhonov theorem on an infinite interval. Vietnam J. Math. 49 (2021), no. 1, 69–86. (40 pkt.)
  • Jacek Banasiak, Rachid Ouifki, Woldegebriel Assefa Woldegerima, Some mathematical tools for modelling malaria: a subjective survey, Biomath (20 pkt.), 10 (2), art. 2110029 (2021),
  • Jacek Banasiak, How to Be Positive in Natural Sciences? in: Positivity and its Applications - Positivity X, 8-12 July 2019, Pretoria, South Africa,, series Trends in Mathematics, Springer (Birkhäuser), (2021), pp. 31-62
  • Jacek Banasiak, Global solutions of continuous coagulation--fragmentation equations with unbounded coefficients, Discrete and Continuous Dynamical Systems – S (70 pkt.), 13 (12) (2020), 3319-3334
  • Rachid Ouifki, Jacek Banasiak, Epidemiological models with quadratic equation for endemic equilibria—A bifurcation atlas, Mathematical Methods in the Applied Sciences (100 pkt.), 43 (18) (2020), 10413-10429
  • Jacek Banasiak, Some remarks on the renormalization group and Chapman-Enskog type methods in singularly perturbed problems, Mathematical Methods in the Applied Sciences (100 pkt.), 43 (18) (2020), 10361-10380
  • Jacek Banasiak, Wilson Lamb, Growth–fragmentation–coagulation equations with unbounded coagulation kernels, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (100 pkt.), 378 (2185) art. 20190612 (2020), doi.org/10.1098/rsta.2019.0612
  • Jacek Banasiak, A note on the Tikhonov theorem on an infinite interval, Vietnam Journal of Mathematics (40 pkt.), (2020), doi.org/10.1007/s10013-020-00410-6
  • Jacek Banasiak, Analytic fragmentation semigroups and classical solutions to coagulation--fragmentation equations - a survey, Acta Mathematica Sinica - (English Series) (70 pkt.), 35 (1) (2019), 83-104, JCR
  • Jacek Banasiak, Logarithmic norms and regular perturbations of differential equations, ANNALES UNIVERSITATIS MARIAE CURIE - SKŁODOWSKA LUBLIN – POLONIA, 73 (2) (2019), 5-19
  • Jacek Banasiak, L.O. Joel, S. Shindin, Discrete growth-decay-fragmentation equation: well-posedness and long-term dynamics, Journal of Evolution Equations (100 pkt.), 19 (3) (2019), 771-802,JCR
  • Jacek Banasiak, M.S. Seuneu Tchamga, Katarzyna Szymańska-Dębowska, Canard solutions in equations with backward bifurcations of the quasi-steady state manifold, Journal of Mathematical Analysis and Applications (70 pkt.), 471 (2019), 776-795, JCR
  • Gideon A.Ngwa, Miranda I.Teboh-Nwungkem, Yves Dumontc, Rachid Ouifki, Jacek Banasiak, On a three-stage structured model for the dynamics of malaria transmission with human treatment, adult vector demographics and one aquatic stage, Journal of Theoretical Biology (70 pkt.), 481 (2019), 202-222, JCR
  • Jacek Banasiak, L.O. Joel, S. Shindin, The Discrete Unbounded Coagulation-Fragmentation Equation with Growth, Decay and Sedimentation, Kinetic and Related Models (100 pkt.), (2019),
  • Jacek Banasiak, Aleksandra Falkiewicz, Transport on Networks—A Playground of Continuous and Discrete Mathematics in Population Dynamics, Mathematics Applied to Engineering, Modelling, and Social Issues, in: Frank T. Smith, Hemen Dutta and John N. Mordeson (eds), Springer, Cham, ISBN: Print 978-3-030-12231-7, https://doi.org/10.1007/978-3-030-12232-4 ISBN: Print 978-3-030-12231-7 (2019), 439-487
  • N. Sauer, Jacek Banasiak, Wha-Suck Lee, Causal relations in support of implicit evolution equations, Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, 11 (3) (2018), 85-102
  • Jacek Banasiak, Population models with projection matrix with some negative entries - a solution to the Natchez paradox, Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software, 11 (3) (2018), 18-28
  • Jacek Banasiak, Aleksandra Puchalska, Generalized network transport and Euler-Hille formula, Discrete and Continuous Dynamical Systems series B (30 pkt.), 23 (5) (2018), 1873-1893, JCR
  • Jacek Banasiak, Aleksandra Falkiewicz, M. S. Seuneu Tchamga, Aggregation Methods in Analysis of Complex Multiple Scale Systems, in: Priscilla Mensah et al (Eds) Systems Analysis Approach for Complex Global Challenges, Springer 2018, https://doi.org/10.1007/978-3-319-71486-8_13 (2018), 249-276
  • Jacek Banasiak, L.O. Joel, S. Shindin, Analysis and Simulations of the Discrete Fragmentation Equation with Decay, Mathematical Methods in the Applied Sciences (25 pkt.), 41, doi: 10.1002/mma.4666 (2018), 6530–6545, JCR
  • Jacek Banasiak, Aleksandra Falkiewicz, A Singular Limit for an Age Structured Mutation Problem, Mathematical Biosciences and Engineering (20 pkt.), 14 (1) (2017), 17-30, JCR
  • Jacek Banasiak, M. S. Seuneu Tchamga, Delayed stability switches in singularly perturbed predator-prey models, Nonlinear Analysis: Real World Applications (45 pkt.), 35 (2017), 312-335, JCR
  • Jacek Banasiak, Explicit formulae for limit periodic flows on networks, Linear Algebra and its Applications (30 pkt.), 500 (2016), 30-42, JCR
  • Jacek Banasiak, Kinetic models - mathematical models of everything?: Comment on "Collective learning modeling based on the kinetic theory of active particles" by D. Burini et al, Physics of Life Reviews (45 pkt.), 16 (2016), 140-141, JCR
  • Jacek Banasiak, Aleksandra Falkiewicz, Some transport and diffusion processes on networks and their graph realizability, Appl. Math. Lett., 45 (2015), 25-30, JCR
  • Jacek Banasiak, A. Goswami, Singularly perturbed population models with reducible migration matrix 1. Sova-Kurtz theorem and the convergence to the aggregated model, Discrete Contin. Dyn. Syst-B., 35 (2) (2015), 617-635, JCR
  • Jacek Banasiak, Eddy Kimba Phongi, Canard-type solutions in epidemiological models, Dynamical Systems, Dierential Equations and Applications, , (2015), 85-93, JCR
  • Jacek Banasiak, A. Bobrowski, A semigroup related to a convex combination of boundary conditions obtained as a result of averaging other semigroups, Journal of Evolution Equations, 15(1) (2015), 223-237
  • Jacek Banasiak, Kinetic Models in Natural Sciences, Lecture Notes in Mathematics,, 2126 (2015), 133-198, JCR
  • Jacek Banasiak, Aleksandra Falkiewicz, Proscovia Namayanja, Asymptotic state lumping in transport and diffusion problems on networks with applications to population problems, Mathematical Models and Methods in Applied Sciences, 26(2) (2015), 214-247, JCR
  • Jacek Banasiak, R. Y. M'pika Massoukou, Solvability of Age Structured Epidemiological Models with Intracohort Transmission, Mediterranean Journal of Mathematics, DOI 10.1007/s00009-015-0556-9, JCR (2015),
  • Jacek Banasiak, Multi-scale problems in complex domains -- a mathematical framework for systems biology. Comment on "On the Interplay between Mathematics and Biology Hallmarks Toward a New Systems Biology'' by N. Bellomo, A. Elaiw, A. M. Althiabi and M. A. Alghamdi, Physics of Life Reviews, 12 (2015), 65-67, JCR
  • Jacek Banasiak, Aleksandra Falkiewicz, Semigroup approach to diffusion and transport problems on networks, Semigroup Forum, DOI 10.1007/s00233-015-9730-4 (2015), JCR
  • Jacek Banasiak, N. Parumasur, D.W. Poka, Pseudospectral Laguerre approximation of transport-fragmentation equations, Appl. Math. Comput, 239C (2014), 107-125, JCR
  • Jacek Banasiak, Rodrigue Yves M'pika Massoukou, A singularly perturbed age structured SIRS model with fast recovery, Discrete Contin. Dyn. Syst. Ser. B, 19 (8) (2014), 2383 - 2399, JCR
  • Jacek Banasiak, W. Lamb, On the existence of moments of solutions to fragmentation equations, J.Math.Anal.Appl., 413(2) (2014), 1017-1029, JCR
  • Jacek Banasiak, A. Goswami, S. Shindin, Singularly Perturbed Population Models with Reducible Migration Matrix: 2. Asymptotic Analysis and Numerical Simulations, Mediterranean Journal of Mathematics, 11 (2014), 533-559, JCR
  • Jacek Banasiak, Wilson Lamb, Matthias Langer, Strong fragmentation and coagulation with power-law rates, J. Eng. Math., DOI 10.1007/s10665-012-9596-3 (2013),
  • Urszula Ledzewicz, Avner Friedman, Jacek Banasiak, Heinz Schättler, Edward Lungu, From the guest editors [Special issue on Mathematical Methods in Systems Biology and Population Dynamics], Math. Biosci. Eng., 10(3) (2013), i-ii
  • Jacek Banasiak, Mirosław Lachowicz, On a macroscopic limit of a kinetic model of alignment, Math. Models Methods Appl. Sci., 23 (14) (2013), 2647-2670, JCR
  • Jacek Banasiak, Eddy Kimba Phongi, Mirosław Lachowicz, A Singularly Perturbed SIS Model With Age Structure, Math.Biosci. Eng., 10 (2013), 499-521, JCR
  • Jacek Banasiak, Katarzyna Pichór, Ryszard Rudnicki, Asynchronous Exponential Growth of a General Structured Population Model, Acta Appl Math, 119 (2012), 149-166, JCR
  • Jacek Banasiak, Proscovia Namayanja, Relative entropy and discrete Poincaré inequalities for reducible matrices, Appl. Math. Lett, 25 (2012), 2193-2197, JCR
  • Jacek Banasiak, Transport processes with coagulation and strong fragmentation, Disc. Contin. Dyn. Syst. Ser. B, 17 (2012), 445-472, JCR
  • Jacek Banasiak, Wilson Lamb, Analytic fragmentation semigroups and continuous coagulation-fragmentation equations with unbounded rates, J. Math. Anal. Appl., 391 (2012), 312-322, JCR
  • Jacek Banasiak, Wilson Lamb, The discrete fragmentation equation: semigroups, compactness and asynchronous exponential growth., Kinet. Relat. Models, 5 (2012), 223-236, JCR
  • Jacek Banasiak, Global classical solutions of coagulation-fragmentation equations with unbounded coagulation rates, Nonlinear Analysis: Real World Appl., 13 (2012), 91-105, JCR
  • Jacek Banasiak, Blow-up of solutions to some coagulation and fragmentation equations with growth, Discrete Contin. Dyn. Syst., supplement 2011 (2011), 126-134, JCR
  • Jacek Banasiak, Moszyński Marcin, Dynamics of birth-and-death processes with proliferation-stability and chaos, Discrete Contin. Dyn. Syst., 29 (2011), 67-79, JCR
  • Jacek Banasiak, A.Goswami, S. Shindin, Aggregation in age and space structured population models:an asymptotic analysis approach, J. Evol. Equ., 11 (2011), 121-154, JCR
  • Jacek Banasiak, Chaos in Kolmogorov systems with proliferation - general criteria and applications, J. Math. Anal. Appl., 378 (2011), 89-97, JCR
  • Luisa Arlotti, Jacek Banasiak, Bertrand Lods, On general transport equation with abstract boundary conditions. The case with divergence free force field, Mediterr. J. Math., 8 (2011), 1-35, JCR
  • Jacek Banasiak, Wilson Lamb, Global strict solutions to continuous coagulation-fragmentation equations with strong fragmentation, Proc. Roy. Soc. Edinburgh, 141A (2011), 465-480, JCR
  • Jacek Banasiak, On an irregular dynamics of certain fragmentation semigroups, Rev. R. Acad. Cienc. Exactas Fis. Nat. Ser. A. Mat., 105 (2011), 361-377, JCR
  • Jacek Banasiak, S. Shindin, Chapman-Enskog asymptotic procedure in structured population dynamics, Il Nuovo Cimento, 33 (2010), 31-38, JCR
  • L. Arlotti, Jacek Banasiak, Nonautonomous fragmentation equation via evolution semigroups, Math. Methods Appl. Sci., 33 (2010), 1201-1210, JCR
  • Jacek Banasiak, Oukouomi Noutchie, Suares Clovis, Controlling number of particles in fragmentation, Phys. D, 239 (2010), 1422-1435, JCR
  • Jacek Banasiak, W. Lamb, Coagulation, Fragmentation and Growth Processes in a Size Structured Population, Discrete Contin. Dyn. Syst. Ser.B, 11 (2009), 563-585, JCR
  • Jacek Banasiak, Asymptotic analysis of singularly perturbed dynamical systems of kinetic type, in Multiple scales problems in Biomathematics, Mechanics, Physics and Numerics, GAKUTO International Series Math.Sci. Appl. (ed. A. Abdulle, J. Banasiak, A. Damlamian and M. Sango), 31 (2009), 219-253
  • Jacek Banasiak, A. Bobrowski, Interplay between degenerate convergence of semigroups and asymptotic analysis: a study of a singularly perturbed abstract telegraph system, J. Evol. Equ., 9 (2009), 293-314, JCR
  • Jacek Banasiak, R. Rudnicki, Oukoumie Noutchie, Suares Clovis, Global solvability of a fragmentation-coagulation equation with growth and restricted coagulation, J. Nonlinear Math. Phys., 16 (2009), 13-26, JCR
  • Jacek Banasiak, Oukouomi Noutchie, Suares Clovis, Conservativeness in nonlocal fragmentation models, Math. Comput. Modeling, 50 (2009), 1229-1236, JCR
  • L. Arlotti, Jacek Banasiak, B. Lods, A new approach to transport equations associated to a regular fields: trace results and well-posedness, Mediterr. J. Math., 6 (2009), 367-402, JCR
  • Jacek Banasiak, M. Moszyński, Hypercyclicity and chaoticity spaces of semigroups, Discrete Contin. Dyn. Syst. Ser. A, 20 (2008), 577-587, JCR
  • Jacek Banasiak, Amartya Goswami, Sergey Shindin, Asymptotic Analysis of Structured Population Models, Numerical Anal. Appl. Math. Proc. Int. Conf. on Numer. Anal. Appl. Math. 2008, (2008), 5-8, JCR
  • Jacek Banasiak, Chaotic linear systems in mathematical biology, South African J. Sci., 104 (2008), 173-179, JCR
  • Jacek Banasiak, M. Lachowicz, M. Moszyński, Chaotic behavior of semigroups related to the process of gene amplification - deamplification with cell proliferation, Math. Biosci., 206 (2007), 200-215, JCR
  • L. Arlotti, Jacek Banasiak, B. Lods, On transport equations driven by a non-divergence free force field, Math. Methods Appl. Sci., 30 (2007), 2155-2177, JCR
  • Jacek Banasiak, M. Lachowicz, Around the Kato generation theorem for semigroups, Stud. Math., 179 (2007), 217-238, JCR
  • Jacek Banasiak, J. Kozakiewicz, N. Parumasur, Challenges in the Numerical Solutions for Models in Transport Theory, Transport Theory Statist. Phys., 36 (2007), 67-78, JCR
  • Jacek Banasiak, Kinetic-type models with diffusion - conservative and non-conservative solutions, Transport Theory Statist. Phys., 36 (2007), 43-65, JCR
  • L. Arlotti, Jacek Banasiak, F. Ciake-Ciake, On well-posedness of the spatially inhomogeneous linear Boltzmann equation of semiconductor theory, Math. Models Methods Appl. Sci., 16 (2006), 1441-1468, JCR
  • Jacek Banasiak, Shattering and non-uniqueness in fragmentation models - an analytic approach, Physica D, 222 (2006), 63-72, JCR
  • Jacek Banasiak, W. Lamb, On a Coagulation and Fragmentation Equation with Mass Loss, Proc. Roy. Soc. Edinburgh, 136A (2006), 1157-1173, JCR
  • Jacek Banasiak, M. Lachowicz, M. Moszyński, Semigroups for Generalized Birth-and-Death Equations in lp Spaces, Semigroup Forum, 73 (2006), 175-193, JCR
  • Jacek Banasiak, M. Moszyński, A generalization of Desch-Schappacher-Webb criteria for chaos, Discrete Contin. Dyn. Syst. Ser. A, 12 (2005), 959-972, JCR
  • Jacek Banasiak, J. M. Kozakiewicz, N. Parumasur, Diffusion Approximation of Linear Kinetic Equations with Non-equilibrium Data - Computational Experiments, Transport Theory Statist. Phys., 34 (2005), 475-496, JCR
  • Jacek Banasiak, Chaotic linear dynamical systems: theory and applications, Wiad. Mat., 41 (2005), 51-79
  • Jacek Banasiak, Birth-and-death systems with parameter and chaotic dynamics in some linear kinetic systems, Z. Anal. Anwend., 24 (2005), 675-690, JCR
  • Jacek Banasiak, On conservativity and shattering for an equation of phytoplankton dynamics, Comptes Rendus Biologies, 327 (2004), 1025-1036, JCR
  • Jacek Banasiak, M. Mokhtar-Kharroubi, Universality of dishonesty of substochastic semigroups: shattering fragmentation and explosive birth-and-death processes, Discrete Contin. Dyn. Syst. ser.B, 5 (2004), 529-542, JCR
  • L. Arlotti, Jacek Banasiak, Strictly substochastic semigroups with application to conservative and shattering solutions to fragmentation equations with mass loss, J. Math. Anal. Appl., 293 (2004), 693-720, JCR
  • Jacek Banasiak, Conservative and shattering solutions for some classes of fragmentation models, Math. Models Methods Appl. Sci., 14 (2004), 483-501, JCR
  • Jacek Banasiak, Chaos in some linear kinetic models, Proceedings of 12th Conference on Waves and Stability in Continuous Madia, World Sci. Publ. Rver Edge, NJ, (2004), 32-37, JCR
  • Jacek Banasiak, M. Lachowicz, M. Moszyński, Topological chaos: when topology meets medicine, Appl. Math.Letters, 16 (2003), 303-308, JCR
  • Jacek Banasiak, W. Lamb, On the application of the substochastic semigroup theory to fragmentation models with mass loss, J. Math. Anal. Appl., 284 (2003), 9-30, JCR
  • Jacek Banasiak, On well-posedness of a Boltzmann like semiconductor model, Mathematical Models and Methods in Applied Sciences, 13 (2003), 875-892, JCR
  • Jacek Banasiak, M. Groppi, Solvability of linear kinetic equations with multi-energetic inelastic scattering, Reports on Mathematical Physics, 52 (2003), 235-253, JCR
  • Jacek Banasiak, Multiple solutions to linear kinetic equations, Transport Theory and Statistical Physics, 38 (2003), 381-398, JCR
  • Jacek Banasiak, G. Frosali, F. Mugelli, Space homogeneous solutions of the linear Boltzmann equation for semiconductors: a semigroup approach, "WASCOM 2001" - 11th Conference on Waves and Stability in Continuous Media (Porto Ercole), World Sci. Publ., River Edge, NJ, (2002), 34-40
  • Jacek Banasiak, M. Lachowicz, Topological chaos for birth-and-death-type models with proliferation, Math. Models Methods Appl. Sci., 12 (2002), 755-775, JCR
  • Jacek Banasiak, On a non-uniqueness in fragmentation models, Mathematical Methods in the Applied Sciences, 25 (2002), 541-556, JCR
  • Jacek Banasiak, M. Lachowicz, Chaotic linear dynamical systems with applications, Proceedings of Semigroups of operators: theory and applications (Rio de Janeiro, 2001), Optimization Software, New York, (2002), 32-44
  • Jacek Banasiak, V. Singh, B-bounded semigroups and C-existence families, Taiwanese J. Math., 6 (2002), 105-125, JCR
  • Jacek Banasiak, G. Frosali, G. Spiga, Interplay of elastic and inelastic scattering operators in extended kinetic models and their hydrodynamic limits: reference manual, Trans. Th. Statist. Phys., 31 (2002), 187-248, JCR
  • Jacek Banasiak, On the hydrodynamic limit of a linear kinetic equation with dominant elastic scattering, Atti Sem. Mat. Fis. Univ. Modena, 49 (2001), 221-245
  • Jacek Banasiak, M. Lachowicz, Chaos for a class of linear kinetic models, C. R. Acad. Sci. Paris, 329 (2001), 439-444, JCR
  • Jacek Banasiak, On an extension of the Kato-Voigt perturbation theorem for substochastic semigroups and its application, Taiwanese J. Math., 5 (2001), 169-191, JCR
  • Jacek Banasiak, L. Barletti, On the existence of propagators in stationary Wigner equation without velocity cut-off, Trans. Th. Statist. Phys., 30 (2001), 659-672
  • Jacek Banasiak, Stability of linear dynamical systems: modern versions of Lyapunov's theorem or the history of four numbers, (Polish) Wiadom. Mat., 36 (2000), 23-44
  • Jacek Banasiak, B-bounded semigroups and implicit evolution equations, Abstr. Appl. Anal., 5 (2000), 13-32, JCR
  • Jacek Banasiak, Diffusion approximation of an inelastic scattering model in linear kinetic theory, Adv. Math. Sci. Appl., 10 (2000), 375-397
  • Jacek Banasiak, The existence of moments of solutions to transport equations with inelastic scattering and their application in the asymptotic analysis, J. Appl. Anal., 6 (2000), 187-211
  • Jacek Banasiak, G. Frosali, G. Spiga, Inelastic scattering models in transport theory and their small mean free path analysis, Math. Methods Appl. Sci., 23 (2000), 121-145, JCR
  • Jacek Banasiak, On a diffusion-kinetic equation arising in extended kinetic theory, Math. Methods Appl. Sci., 23 (2000), 1237-1256, JCR
  • Jacek Banasiak, Mathematical properties of inelastic scattering models in linear kinetic theory, Math. Models Methods Appl. Sci., 10 (2000), 163-186, JCR
  • Jacek Banasiak, B-bounded semigroups, existence families and implicit evolution equations, Proceedings Semigroups of operators: theory and applications (Newport Beach, CA, 1998), Birkhäuser, Basel, 42 (2000), 25-34
  • Jacek Banasiak, Remarks on the solvability of the inhomogeneous abstract Cauchy problem for linear and semilinear evolution equations, Quaest. Math., 22 (1999), 83-92, JCR
  • Jacek Banasiak, L. Demeio, Diffusion approximations of a linear kinetic equation with inelastic scattering: asymptotic analysis and numerical results, Transport Theory Statist. Phys., 28 (1999), 475-498, JCR
  • Jacek Banasiak, L. Demeio, Quasi-steady-state solutions of kinetic equations in runaway regime, Transport Theory Statist. Phys., 28 (1999), 1-29, JCR
  • Jacek Banasiak, Generation results for B-bounded semigroups, Annali di Matematica Pura ed Applicata, (IV), Vol. CLXXIV (1998), 307-323
  • Jacek Banasiak, Janusz R. Mika, Singularly perturbed telegraph equations with applications in the random walk theory, J. Appl. Math. Stochastic Anal., 11 (1998), 9-28
  • Jacek Banasiak, G. Frosali, G. Spiga, Asymptotic analysis for a particle transport equation with inelastic scattering in extended kinetic theory, Math. Models Methods Appl. Sci., 8 (1998), 851-874., JCR
  • Jacek Banasiak, Spectral theorems of Voigt type for linear Boltzmann equation with external field, Transport Theory Statist. Phys., 27 (1998), 241-255, JCR
  • Jacek Banasiak, Singularly perturbed linear and semilinear hyperbolic systems: kinetic theory approach to some folk theorems, Acta Appl. Math., 49 (1997), 199-228, JCR
  • Jacek Banasiak, Diffusion approximation for the linear Boltzmann equation of semiconductor theory with analysis of the initial layer, J. Math. Anal. Appl., 205 (1997), 216-238, JCR
  • Jacek Banasiak, Some spectral properties of the linear Boltzmann equation of semiconductor theory with application to its asymptotic analysis, Proceedings of the Prague Mathematical Conference, 1996, Icaris, Prague, (1997), 7-12
  • Jacek Banasiak, Asymptotic analysis of abstract linear kinetic equations, Math. Methods Appl. Sci., 19 (1996), 481-505, JCR
  • Jacek Banasiak, Agata Ligier, Remark on a trace theorem for transmission problems, Math. Methods Appl. Sci., 18 (1995), 413-421, JCR
  • Jacek Banasiak, Janusz R. Mika, Asymptotic analysis of a model kinetic equation, Math. Models Methods Appl. Sci., 5 (1995), 867-885, JCR
  • Jacek Banasiak, Singular perturbations of resonance type with applications to the kinetic theory, Recent developments in evolution equations (Glasgow, 1994), Pitman Res. Notes Math. Ser., 324, Longman Sci. Tech., Harlow, (1995), 53-67
  • Jacek Banasiak, Diffusion limit for a linear kinetic equation, Transport Theory Statist. Phys., 24 (1995), 41-53, JCR
  • Jacek Banasiak, Domains of fractional powers of operators arising in mixed boundary value problems in non-smooth domains and applications, Appl. Anal., 55 (1994), 79-89, JCR
  • Jacek Banasiak, Janusz R. Mika, Diffusion limit for the linear Boltzmann equation of the neutron transport theory, Math. Methods Appl. Sci., 17 (1994), 1071-1087, JCR
  • Jacek Banasiak, Janusz R. Mika, Asymptotic analysis of the Fokker-Planck equation related to Brownian motion, Math. Models Methods Appl. Sci., 4 (1994), 17-33, JCR
  • Jacek Banasiak, A counterexample in the theory of mixed boundary value problems for elliptic equations in nonsmooth domains, Demonstratio Math., 26 (1993), 327-335
  • Jacek Banasiak, Jakub Szczepaniak, On regularity of solutions to inner obstacle problems, Z. Anal. Anwendungen, 12 (1993), 401-404, JCR
  • Jacek Banasiak, On L2-solvability of mixed boundary value problems for elliptic equations in plane nonsmooth domains, J. Differential Equations, 97 (1992), 99-111, JCR
  • Jacek Banasiak, On asymptotics of solutions of elliptic mixed boundary value problems of second-order in domains with vanishing edges, SIAM J. Math. Anal., 23 (1992), 1117-1124, JCR
  • Jacek Banasiak, G. F. R. Roach, On corner singularities of solutions to mixed boundary-value problems for second-order elliptic and parabolic equations, Proc. Roy. Soc. London Ser. A, 433 (1991), 209-217, JCR
  • Jacek Banasiak, G. F. R. Roach, On mixed boundary value problems of Dirichlet oblique-derivative type in plane domains with piecewise differentiable boundary, J. Differential Equations, 79 (1989), 111-131, JCR
  • Jacek Banasiak, Some contribution to the geometry of normed linear spaces, Math. Nachr., 139 (1988), 175-184, JCR
  • Jacek Banasiak, Remarks on orthogonality in normed linear spaces, Zeszyty Nauk. Politech. Łódz. Mat., 20 (1988), 39-43
  • Jacek Banasiak, On some class of uniqueness of solutions of distributional boundary problems for the Laplace equation in a half space, Zeszyty Nauk. Politech. Łódz. Mat., 17 (1984), 31-42
  • L. Arlotti, Jacek Banasiak, B. Lods, On general transport equation with abstract boundary conditions. The case with divergence free force field, Mediterr. J. Math., (0000), accepted, JCR
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