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dr hab. Katarzyna Szymańska-Dębowska

K.Szymańska_Dębowska

Associate Professor

The Division of Mathematical Modelling

Room: 132

Phone: (+48) 42 631-36-17

e-mail: katarzyna.szymanska-debowska@p.lodz.pl

WWW: https://im.p.lodz.pl/~szymanska/

      Treść (rozbudowana)
      PhD students
      • Ewa Skrzypek, Zagadnienia Dirichleta dla p(t)-laplasjanu na ograniczonej skali czasowej, 2022
      • Igor Kossowski, Zagadnienia brzegowe dla równań różniczkowych zwyczajnych z silnie nieliniowymi warunkami nielokalnymi, 2018 (promotor pomocniczy)
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      Books
      • Jacek Banasiak, Katarzyna Szymańska-Dębowska, Układy dynamiczne w modelowaniu procesów przyrodniczych, społecznych i technologicznych, Wydawnictwo Naukowe PWN, 2023
      • 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
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      Scientific publications
      • Rodríguez–López  J., Szymańska-Dębowska K., Zima M. Lower and Upper Solutions for System of Differential Equations Involving Homeomorphism and Nonlinear Boundary Conditions. Results Math 79, 181 (2024) (100 pkt.)
      • Katarzyna Szymańska-Dębowska, Mirosława Zima, Differential equations involving homeomorphism with nonlinear boundary conditions Mathematical Methods in the Applied Sciences (100 pkt.) 2023; 46( 11): 11886-11896
      • Jean Mawhin, Ewa Skrzypek, Katarzyna Szymańska-Dębowska, Du Bois–Reymond Type Lemma and Its Application to Dirichlet Problem with the p(t)–Laplacian on a Bounded Time Scale, Entropy (100 pkt.), 23 (10), 1352 (2021), 21 pp.
      • Marek Matyjasik, Katarzyna Szymańska-Dębowska, Solvability for nonlocal boundary value problems with generalized p-Laplacian on an unbounded domain, Forum Mathematicum (100 pkt.), 33 (5) (2021), 1321-1330
      • Katarzyna Szymańska-Dębowska, Solutions to Neumann boundary value problems with a generalized p-Laplacian, Georgian Mathematical Journal (40 pkt.), 27 (4) (2020), 629–636
      • Katarzyna Szymańska-Dębowska, Mirosława Zima, A topological degree approach to a nonlocal Neumann problem for a system at resonance, Journal of Fixed Point Theory and Applications (100 pkt.), 21 (2) (2019), 1-14, 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
      • Jean Mawhin, Katarzyna Szymańska-Dębowska, Bound sets and two-point boundary value problems for second order differential systems, Mathematica Bohemica (40 pkt.), 144 (4) (2019), 373-392
      • Ewa Skrzypek, Katarzyna Szymańska-Dębowska, On the Lebesgue and Sobolev spaces on a time-scale, Opuscula Mathematica (70 pkt.), 39 (5) (2019), 705-731
      • Jean Mawhin, Katarzyna Szymańska-Dębowska, Convexity, topology and nonlinear differential systems with nonlocal boundary conditions: a survey, Rend. Istit. Mat. Univ. Trieste (20 pkt.), 51 (2019), 125–166
      • Igor Kossowski, Katarzyna Szymańska-Dębowska, Solutions to resonant boundary value problem with boundary conditions involving Riemann-Stieltjes integrals, Discrete and Continuous Dynamical Systems - Series B (30 pkt.), 23(1) (2018), 275--282, JCR
      • Bogdan Przeradzki, Katarzyna Szymańska-Dębowska, Jean Mawhin, Second order systems with nonlinear nonlocal boundary conditions, Electronic Journal of Qualitative Theory of Differential Equations (30 pkt.), 56 (2018), 1-11, JCR
      • Katarzyna Szymańska-Dębowska, Solutions to nonlocal Neumann boundary value problems, Electronic Journal of Qualitative Theory of Differential Equations (30 pkt.), 28 (2018), 1-14, JCR
      • Katarzyna Szymańska-Dębowska, System of nonlocal resonant boundary value problems involving p-Laplacian, Mathematica Slovaca (15 pkt.), 68 (4) (2018), 837-844, JCR
      • Mateusz Krukowski, Katarzyna Szymańska-Dębowska, Solutions for second order nonlocal BVPs via the generalized Miranda theorem, Rocky Mountain Journal of Mathematics (20 pkt.), 48 (2) (2018), 519-528, JCR
      • Katarzyna Szymańska-Dębowska, Jean Mawhin, Convex sets, fixed points and first order systems with nonlocal boundary conditions at resonance, Journal of Nonlinear and Convex Analysis (25 pkt.), 18 (1) (2017), 149-160 JCR
      • Katarzyna Szymańska-Dębowska, Jean Mawhin, The sharpness of some existences statements for differential systems with nonlocal boundary conditions, Mem. Differential Equations Math. Phys, 72 (2017), 79-90
      • Katarzyna Szymańska-Dębowska, Jean Mawhin, Convex sets and second order systems with nonlocal boundary conditions at resonance, Proceedings of the American Mathematical Society (25 pkt.), 145 no.5 (2017), 2023-2032, JCR
      • Katarzyna Szymańska-Dębowska, Jean Mawhin, Couples of lower and upper slopes and resonant second order ordinary differential equations with nonlocal boundary conditions, Academy of Sciences of the Czech Republic. Mathematical Institute. Mathematica Bohemica, 141 (no.2) (2016), 239-259
      • Jean Mawhin, Katarzyna Szymańska-Dębowska, Second-order ordinary differential systems with nonlocal Neumann conditions at resonance., Annali di Matematica Pura ed Applicata (30 pkt.), (4) 195 no. 5, (2016), 1605--1617. JCR
      • Katarzyna Szymańska-Dębowska, On second order nonlocal boundary value problem at resonance, Fasciculi Mathematici (9 pkt.), 56 (1) (2016), 143-153
      • Katarzyna Szymańska-Dębowska, Existence theorems of nonlinear asymptotic BVP for a homeomorphism, Opuscula Mathematica (11 pkt.), 36 (no.3) (2016), 399-407
      • Katarzyna Szymańska-Dębowska, Existence results for a second order nonlocal boundary value problem at resonance, Studia Scientiarum Mathematicarum Hungarica (15 pkt.), 53 (1) (2016), 42-52 JCR
      • Katarzyna Szymańska-Dębowska, k-dimensional nonlocal boundary-value problems at resonance, Electron. J. Diff. Equ., 148 (2015), 1-8, JCR
      • Katarzyna Szymańska-Dębowska, On the existence of solutions for nonlocal boundary value problems, Georgian Math. J., 22 (2) (2015), 273-279, JCR
      • Katarzyna Szymańska-Dębowska, On a generalization of the Miranda Theorem and its application to boundary value problems, J. Differential Equations, 258 (2015), 2686-2700, JCR
      • Katarzyna Szymańska-Dębowska, The solvability of a nonlocal boundary value problem, Math. Slovaca, 65(5) (2015), 1027--1034, JCR
      • Katarzyna Szymańska-Dębowska, Existence result for a non-resonant nonlocal boundary value problems, Miskolc Math. Notes, 16(1) (2015), 517-525, JCR
      • Bogdan Przeradzki, Katarzyna Szymańska-Dębowska, Wave fronts to some modification of Korteweg-deVries and Burgers-Korteweg-de Vries equations, Banach Center Publication, vol. 101 (2014), 161-166
      • Adam Lipowski, Bogdan Przeradzki, Katarzyna Szymańska-Dębowska, Periodic solutions to differential equations with a generalized p-Laplacian, Discrete Contin. Dyn. Syst. Ser. B, 19 (8) (2014), 2593 - 2601, JCR
      • Katarzyna Szymańska-Dębowska, On two systems of non-resonant nonlocal boundary value problems, An. St. Univ. Ovidius Constanta, 21 (3) (2013), 257-267, JCR
      • Katarzyna Szymańska-Dębowska, On some resonant boundary value problem on an infinite interval, Topol. Methods Nonlinear Anal., 36 (2010), 119-127, JCR
      • T. Moussaoui, Katarzyna Szymańska-Dębowska, Resonant problem for a class of BVPs on the half-line, Electron J. Qual. Theory Dif.. Equ., 53 (2009), 1-10, JCR
      • Katarzyna Szymańska-Dębowska, Resonant problem for some second-order differential equation on the half-line, Electron. J. Differ. Equ., 160 (2007), 1-9, JCR
      • Katarzyna Szymańska-Dębowska, On an asymptotic boundary value problem for second order differenitial equation, J. Appl. Anal, 12 (2006), 109-119
      • Marek Kałuszka, Andrzej Okolewski, Katarzyna Szymańska-Dębowska, Sharp bounds for L-statistics from dependent samples of random length, J. Stat. Plann. Inference, 127 (2005), 71-89, JCR
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