Positive periodic solutions of parabolic evolution problems: a translation along trajectories approach

• Autorzy: Aleksander Ćwiszewski
• Języki publikacji: EN

Abstrakty

EN

A translation along trajectories approach together with averaging procedure and topological degree are used to derive effective criteria for existence of periodic solutions for nonautonomous evolution equations with periodic perturbations. It is shown that a topologically nontrivial zero of the averaged right hand side is a source of periodic solutions for the equations with increased frequencies. Our setting involves equations on closed convex cones, therefore it enables us to study positive solutions of nonlinear parabolic partial differential equations.

Słowa kluczowe

EN

Semigroup; Evolution equation; Topological degree; Periodic solution

Kategorie tematyczne

• 47J35: Nonlinear evolution equations
• 37L05: General theory, nonlinear semigroups, evolution equations
• 47J15: Abstract bifurcation theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2011
• Tom: 9
• Numer: 2
• Strony: 244-268

Daty

wydano

2011-04-01

online

2011-02-18

Twórcy

autor

Aleksander Ćwiszewski

• Nicolaus Copernicus University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-011-0010-6