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 at resonance

2011/01/N/ST1/05245

Keywords:

resonance topological degree the Conley index partial differential equations

Descriptors:

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

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):

dr Piotr Kokocki 

Number of co-investigators in the project: 2

Call: PRELUDIUM 1 - announced on 2011-03-15

Amount awarded: 77 800 PLN

Project start date (Y-m-d): 2011-12-12

Project end date (Y-m-d): 2013-12-11

Project duration:: 24 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer przenośny - laptop (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (3)
  • Articles in post-conference publications (1)
  1. Conley index of invariant sets for strongly damped hyperbolic equations at resonance
    Authors:
    Piotr Kokocki
    Academic press:
    Transactions of American Mathematical Society , Wydawca: American Mathematical Society
    Status:
    Submitted
  2. Periodic solutions for strongly damped hyperbolic equations at resonance
    Authors:
    Piotr Kokocki
    Academic press:
    Nonlinear Analysis: Real World Applications , Wydawca: Elsevier
    Status:
    Submitted
  3. Averaging principle and degree formula for perturbations of sectorial operators
    Authors:
    Piotr Kokocki
    Academic press:
    Annali di Matematica Pura ed Applicata , Wydawca: Springer
    Status:
    Submitted
  1. Invariant sets and connecting orbits for nonlinear evolution equations at resonance
    Authors:
    Piotr Kokocki
    Conference:
    Equadiff 2013 (rok: 2013, ), Wydawca: Institute of Mathematics, Academy of Sciences of the Czech Republic
    Data:
    konferencja 26-30 sierpnia 2013
    Status:
    Accepted for publication