Topic outline

  • Research goals

    • Zastosowanie metod topologicznych, wariacyjnych i monotonicznych w badaniu rozwiązalności i wielokrotności rozwiązań dla zadań brzegowych opisywanych przez równania zwyczajne i cząstkowe, w tym zadań nielokalnych i na dziedzinach fraktalnych i grafach.



  • Publications

      • Wojciech Kryszewski, Mateusz Maciejewski, Degree for weakly upper semicontinuous perturbations of quasi-m-accretive operators, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (100 pkt.), 379 (2191), art. ID:20190377 (2021),
      • Aleksander Ćwiszewski, Wojciech Kryszewski, Bifurcation from infinity for elliptic problems on RN, Calculus of Variations and Partial Differential Equations (200 pkt.), 58 (1) (2019), 1-23
      • Wojciech Kryszewski, Dorota Gabor, Jakub Siemianowski, The Krasnosel'skii formula for parabolic differential inclusions with state constraints, Discrete and Continuous Dynamical Systems-Series B (30 pkt.), 23 (1) (2018), 295-329, JCR
      • Wojciech Kryszewski, Siemianowski Jakub, The Bolzano mean-value theorem and partial differential equations, Journal of Mathematical Analysis and Applications (40 pkt.), 457 (2) (2018), 1452-1477, JCR
      • Ulrich Werner, Wojciech Kryszewski, Sewerniak Piotr, Puchałka Radosław, Strona Giovanni, Gotelli Nicholas J., A comprehensive framework for the study of species co-occurrences, nestedness and turnover, Oikos: a journal of ecology (45 pkt.), 126 (11) (2017), 1607-1616, JCR
      • De Paiva Francisco Odair, Wojciech Kryszewski, Szulkin Andrzej, Generalized Nehari manifold and semilinear Schrödinger equation with weak monotonicity condition on the nonlinear term, Proceedings of the American Mathematical Society (25 pkt.), 145 (11) (2017), 4783-4794, JCR
      • Marek Galewski, On variational nonlinear equations with monotone operators, Advances in Nonlinear Analysis (100 pkt.), 10 (2021), 289–300, doi.org/10.1515/anona-2020-0102
      • Michał Bełdziński, Marek Galewski, Nash–type equilibria for systems of non-potential equations, Applied Mathematics and Computation (100 pkt.), vol.385 (2020),
      • Marek Galewski, Localization properties for nonlinear equations involving monotone operators, Mathematical Methods in the Applied Sciences (100 pkt.), 43 (17) (2020), 9776–9789
      • Michał Bełdziński, Marek Galewski, On solvability of elliptic boundary value problems via global invertibility, Opuscula Mathematica (40 pkt.), 40 (1) (2020), 37-47
      • Marek Galewski, Luca Vilasi, Saddle-point solutions to Dirichlet problems on the Sierpinski gasket, Expositiones Mathematicae (70 pkt.), 37 (2019), 485–497
      • Michał Bełdziński, Marek Galewski, On the Existence and Uniqueness of Dirichlet Problems on a Positive Half-Line, Minimax Theory and its Applications (70 pkt.), 4 (1) (2019), 055--069
      • Marek Galewski, On the Application of Monotonicity Methods to the Boundary Value Problems on the Sierpinski Gasket, Numerical Functional Analysis and Optimization (70 pkt.), 40 (11) (2019), 1344-1354, JCR
      • Michał Bełdziński, Marek Galewski, On unique solvability of a Dirichlet problem with nonlinearity depending on the derivative, Opuscula Mathematica (40 pkt.), 39 (2) (2019), 131-144
      • Marek Galewski, On the Mountain Pass Solutions to Boundary Value Problems on the Sierpinski Gasket, Results in Mathematics (100 pkt.), 74 (4) (2019), 1-13
      • J. Diblik, Marek Galewski, Marcin Koniorczyk, E. Schmeidel, An application of a diffeomorphism theorem to volterra integral operator, Differential and Integral Equations (30 pkt.), 31 (7-8) (2018), 621-642, JCR
      • Marek Galewski, Shapour Heidarkhani, Amjad Salari, Multiplicity results for discrete anisotropic equations, Discrete and Continuous Dynamical Systems - Series B (30 pkt.), 23(1) (2018), 203-218, JCR
      • Robert Stegliński, Magdalena Nockowska-Rosiak, Sequences of positive homoclinic solutions to difference equations with variable exponent, Mathematica Slovaca (40 pkt.), 70 (2) (2020), 417-430, JCR
      • Robert Stegliński, A global diffeomorphism theorem and a unique weak solution of Dirichlet problem, Complex Variables and Elliptic Equations (70 pkt.), 64 (8) (2019), 1285–1296
      • Robert Stegliński, On homoclinic solutions for a second order difference equation with p, Discrete and Continuous Dynamical Systems - Series B (30 pkt.), 23(1) (2018), 487- 492,JCR
      • Robert Stegliński, Convex sets and n- order difference systems with nonlocal nonlinear boundary conditions, Journal of Difference Equations and Applications (25 pkt.), 24 (7) (2018), 1065–1073, JCR
      • Michał Bełdziński, Marek Galewski, Robert Stegliński, Solvability of Abstract Semilinear Equations by a Global Diffeomorphism Theorem, Results in Mathematics (25 pkt.), 73 (3) (2018), JCR
      • Janusz Migda, Małgorzata Migda, Magdalena Nockowska-Rosiak, Asymptotic properties of solutions of third order difference equations, Applicable Analysis and Discrete Mathematics (70 pkt.), 14 (2020), 1-19, https://doi.org/10.2298/AADM180826006M
      • Janusz Migda, Magdalena Nockowska-Rosiak, Asymptotic properties of solutions to difference equations of Sturm-Liouville type, Applied Mathematics and Computation (100 pkt.), 340 (2019), 126-137, JCR
      • Magdalena Nockowska-Rosiak, Uncountably many nonoscillatory bounded solutions to second-order nonlinear neutral dynamic equations, Turkish Journal of Mathematics (40 pkt.), 43 (2019), 1699-1711, JCR
      • Magdalena Nockowska-Rosiak, Piotr Hachuła, Ewa Schmeidel, Existence of uncountably many asymptotically constant solutions to discrete nonlinear three-dimensional system with p-Laplacian, Discrete and Continuous Dynamical Systems - Series B (30 pkt.), 23(1) (2018), 369 -375, JCR
      • Robert Jankowski, Barbara Łupińska, Magdalena Nockowska-Rosiak, Ewa Schmeidel, Monotonic solutions of a higher-order neutral difference system, Discrete and Continuous Dynamical Systems - Series B (30 pkt.), 23(1) (2018), 253 -261, JCR
      • Janusz Migda, Małgorzata Migda, Magdalena Nockowska-Rosiak, Asymptotic Properties of Solutions to Second-Order Difference Equations of Volterra Type, Discrete Dynamics in Nature and Society (20 pkt.), volume 2018, Article ID 2368694 (2018), 1-10, JCR
      • Janusz Migda, Magdalena Nockowska-Rosiak, Asymptotic behavior of solutions of second order difference equations with deviating argument, Miskolc Mathematical Notes (15 pkt.), 19 (2) (2018), 1047-1061, JCR
      • Magdalena Nockowska-Rosiak, Bounded solutions and asymptotic stability of nonlinear second-order neutral difference equations with quasi-differences, Turkish J. Math (15 pkt.), 42 (2018), 1956-1969, JCR
      • Piotr Hachuła, Magdalena Nockowska-Rosiak, Ewa Schmeidel, Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand, Discrete Dynamics in Nature and Society (20 pkt.), volume 2017 (2017), Article ID 8162865, 10 pages, JCR
      • Igor Kossowski, Bogdan Przeradzki, Nonlinear equations with a generalized fractional Laplacian, RACSAM (100 pkt.), 115 (2), art. 58 (2021),
      • 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