Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Dynamics of nonlinear evolution equations - topological approach

2013/09/B/ST1/01963

Keywords:

evolution equations partial differential equations Maxwell equations state-dependent equations stationary solutions periodic solutions connecting orbits homotopy invariants

Descriptors:

  • ST1_10: Ordinary differential equations and dynamical systems
  • ST1_11: Partial differential equations
  • ST1_6: Topology

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Mikołaja Kopernika, Wydział Matematyki i Informatyki

woj. kujawsko-pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Wojciech Kryszewski 

Number of co-investigators in the project: 8

Call: OPUS 5 - announced on 2013-03-15

Amount awarded: 598 850 PLN

Project start date (Y-m-d): 2014-02-20

Project end date (Y-m-d): 2017-08-19

Project duration:: 42 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. drukarka wielofunkcyjna (500 PLN)
  2. komputer PC.
  3. iPad.
  4. laptop (2 szt.) (6 000 PLN)
  5. netbook (5 szt.) (8 000 PLN)

Information in the final report

  • Publication in academic press/journals (29)
  1. A cohomological index of Fuller type for parameterized set-valued maps in normed spaces
    Authors:
    R. Skiba
    Academic press:
    Cent. Eur. J. Math. (rok: 2014, tom: 12, strony: 1164-1197), Wydawca: Versita, Springer
    Status:
    Published
    DOI:
    10.2478/s11533-014-0408-z - link to the publication
  2. Homotopy invariants methods in the global dynamics of strongly damped wave equation
    Authors:
    P. Kokocki
    Academic press:
    Discrete Contin. Dyn. Syst. A (rok: 2016, tom: 36 no. 6, strony: 3227-3250), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcds.2016.36.3227 - link to the publication
  3. On the Dirichlet problem in billiard spaces
    Authors:
    G. Gabor
    Academic press:
    J. Math. Anal. Appl. (rok: 2016, tom: 440 no. 2, strony: 677-691), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.03.072 - link to the publication
  4. Lyapunov pairs in semilinear differential problems with state-dependent impulses
    Authors:
    I. Benedetti, T. Cardinali, G. Gabor, P. Rubbioni
    Academic press:
    Set-Valued Var. Anal. , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    10.1007/s11228-018-0490-7 - link to the publication
  5. A Landesman-Lazer type result for periodic parabolic problems on R^N at resonance
    Authors:
    A. Ćwiszewski, R. Łukasiak
    Academic press:
    Nonlinear Anal. (rok: 2015, tom: 125, strony: 608-625), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2015.06.001 - link to the publication
  6. Bifurcation from infinity for an asymptotically linear Schrödinger equation
    Authors:
    W. Kryszewski, A. Szulkin
    Academic press:
    J. Fixed Point Theory Appl. (rok: 2014, tom: 16, strony: 411-435), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11784-015-0221-8 - link to the publication
  7. Effect of resonance on the existence of periodic solutions for strongly damped wave equation
    Authors:
    P. Kokocki
    Academic press:
    Nonlinear Anal. (rok: 2015, tom: 125, strony: 167-200), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2015.05.012 - link to the publication
  8. Global continuation of homoclinic solutions
    Authors:
    C. Potzsche, R. Skiba
    Academic press:
    Z. Anal. Anwend. (rok: 2018, tom: 37, strony: 159-187), Wydawca: EMS
    Status:
    Published
    DOI:
    10.4171/ZAA/1608 - link to the publication
  9. Multiple positive solutions of parabolic systems with nonlinear, nonlocal initial conditions
    Authors:
    G. Infante, M. Maciejewski
    Academic press:
    J. London Math. Soc. (rok: 2016, tom: 94, strony: 859-882), Wydawca: London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms/jdw061 - link to the publication
  10. Erratum to: Structure of the solution set to impulsive functional differential inclusions on the half-line
    Authors:
    Grzegorz Gabor, Agata Grudzka
    Academic press:
    Nonlinear Differential Equations and Applications (rok: 2015, tom: 22 no. 1, strony: 175-183), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00030-014-0285-y - link to the publication
  11. Generalized Nehari manifold and semilinear Schrodinger equation with weak monotonicity condition on the nonlinear term
    Authors:
    F. de Paiva, W. Kryszewski, A. Szulkin
    Academic press:
    Proc. Amer. Math. Soc. (rok: 2017, tom: 145, strony: 4783-4794), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/proc/13609 - link to the publication
  12. Nonlinear time-harmonic Maxwell equations in R3 : recent results and open questions
    Authors:
    J. Mederski
    Academic press:
    Lect. Notes Semin. Interdiscip. Mat. (rok: 2016, tom: 13, strony: 47-57), Wydawca: UNAM
    Status:
    Published
    DOI:
    brak - link to the publication
  13. Nonlinear time-harmonic Maxwell equations in a bounded domain: lack of compactness
    Authors:
    J. Mederski
    Academic press:
    Science China Math. (rok: 2018, tom: 61, strony: 1963-1970), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11425-017-9312-8 - link to the publication
  14. The Krasnosel'skii formula for parabolic differential inclusions with state constraints
    Authors:
    D. Gabor, W. Kryszewski, J. Siemianowski
    Academic press:
    Discrete Contin. Dyn. Syst.-B (rok: 2018, tom: 23, strony: 295-329), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcdsb.2018021 - link to the publication
  15. The index bundle and multiparameter bifurcation for discrete dynamical systems
    Authors:
    R. Skiba, N. Waterstraat
    Academic press:
    Discrete Contin. Dyn. Syst. (rok: 2017, tom: 37, no. 11, strony: 5603-5629), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/dcds.2017243 - link to the publication
  16. Vortex ground states for Klein-Gordon-Maxwell-Proca type systems
    Authors:
    P. d'Avenia, J. Mederski, A. Pomponio
    Academic press:
    J. Math. Phys. (rok: 2017, tom: 58, 041503, strony: 19 pp.), Wydawca: AIP
    Status:
    Published
    DOI:
    10.1063/1.4982038 - link to the publication
  17. Differential inclusions with state-dependent impulses on the half-line: new Frechet space of functions and structure of solution sets
    Authors:
    G. Gabor
    Academic press:
    J. Math. Anal. Appl. (rok: 2017, tom: 446, strony: 1427-1448), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2016.09.046 - link to the publication
  18. Positive ground states for a system of Schrödinger equations with critically growing nonlinearities
    Authors:
    P. d'Avenia, J. Mederski
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2015, tom: 53 no. 3-4, strony: 879-900), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s0052601407705 - link to the publication
  19. Positive solutions to p-Laplace reaction-diffusion systems with nonpositive right-hand side
    Authors:
    M. Maciejewski
    Academic press:
    Topol. Methods Nonlinear Anal. (rok: 2015, tom: 46 no. 2, strony: 731-754), Wydawca: Juliusz Schauder University Centre for Nonlinear Studies, Nicolaus Copernicus University
    Status:
    Published
    DOI:
    10.12775/TMNA.2015.065 - link to the publication
  20. Solutions to a nonlinear Schrödinger equation with periodic potential and zero on the boundary of the spectrum
    Authors:
    J. Mederski
    Academic press:
    Topol. Methods Nonlinear Anal. (rok: 2015, tom: 46 no. 2, strony: 755-771), Wydawca: Juliusz Schauder University Centre for Nonlinear Studies, Nicolaus Copernicus University
    Status:
    Published
    DOI:
    10.12775/TMNA.2015.067 - link to the publication
  21. Ważewski type theorem for non-autonomous systems of equations with a disconnected set of egress points
    Authors:
    G. Gabor, S. Ruszkowski, J. Vítovec
    Academic press:
    Appl. Math. Comput. (rok: 2015, tom: 265, strony: 358-369), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.amc.2015.05.027 - link to the publication
  22. Forced periodic solutions for nonresonant parabolic equations on R^N
    Authors:
    A. Ćwiszewski, R. Łukasiak
    Academic press:
    J. Dynam. Differential Equations , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  23. A topological approach to the existence and multiplicity of positive solutions of (p, q)-Laplacian systems
    Authors:
    G. Infante, M. Maciejewski, R. Precup
    Academic press:
    Dyn. Partial. Differ. Equ. (rok: 2015, tom: 12 no. 3, strony: 193-215), Wydawca: International Press
    Status:
    Published
    DOI:
    10.4310/DPDE.2015.v12.n3.a1 - link to the publication
  24. Ground and Bound State Solutions of Semilinear Time-Harmonic Maxwell Equations in a Bounded Domain
    Authors:
    T. Bartsch, J. Mederski
    Academic press:
    Arch. Ration. Mech. Anal. (rok: 2015, tom: 215 no. 1, strony: 283-306), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s0020501407781 - link to the publication
  25. Ground states of time-harmonic semilinear Maxwell equations in R3 with vanishing permittivity
    Authors:
    J. Mederski
    Academic press:
    Arch. Rational Mech. Anal. (rok: 2015, tom: 218 no. 2, strony: 825-861), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00205-015-0870-1 - link to the publication
  26. Krasnosel'skii type formula and translation along trajectories method on the scale of fractional spaces
    Authors:
    P. Kokocki
    Academic press:
    Commun. Pure Appl. Anal. (rok: 2015, tom: 14 no. 6, strony: 2315-2334), Wydawca: AIMS
    Status:
    Published
    DOI:
    10.3934/cpaa.2015.14.2315 - link to the publication
  27. Stationary Solutions and Connecting Orbits for p-Laplace Equation
    Authors:
    A. Ćwiszewski, M. Maciejewski
    Academic press:
    J. Dynam. Differential Equations (rok: 2018, tom: 30, strony: 309-329), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10884-017-9573-7 - link to the publication
  28. The Bolzano mean-value theorem and partial differential equations
    Authors:
    W. Kryszewski, J. Siemianowski
    Academic press:
    J. Math. Anal. Appl. (rok: 2018, tom: 457, strony: 1452-1477), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2017.01.040 - link to the publication
  29. Viable periodic solutions in state-dependent impulsive problems
    Authors:
    G. Gabor
    Academic press:
    Collect. Math. (rok: 2015, tom: 66 no. 3, strony: 351-365), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s13348-015-0139-x - link to the publication

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