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

Open Mathematics (2011)

- Volume: 9, Issue: 2, page 244-268
- ISSN: 2391-5455

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topAleksander Ćwiszewski. "Positive periodic solutions of parabolic evolution problems: a translation along trajectories approach." Open Mathematics 9.2 (2011): 244-268. <http://eudml.org/doc/269288>.

@article{AleksanderĆwiszewski2011,

abstract = {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.},

author = {Aleksander Ćwiszewski},

journal = {Open Mathematics},

keywords = {Semigroup; Evolution equation; Topological degree; Periodic solution; semigroup; evolution equation; topological degree; periodic solution},

language = {eng},

number = {2},

pages = {244-268},

title = {Positive periodic solutions of parabolic evolution problems: a translation along trajectories approach},

url = {http://eudml.org/doc/269288},

volume = {9},

year = {2011},

}

TY - JOUR

AU - Aleksander Ćwiszewski

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

JO - Open Mathematics

PY - 2011

VL - 9

IS - 2

SP - 244

EP - 268

AB - 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.

LA - eng

KW - Semigroup; Evolution equation; Topological degree; Periodic solution; semigroup; evolution equation; topological degree; periodic solution

UR - http://eudml.org/doc/269288

ER -

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