Positive periodic solutions of parabolic evolution problems: a translation along trajectories approach |
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Authors: | Aleksander ?wiszewski |
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Affiliation: | 1. Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Torun, Poland
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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. |
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Keywords: | |
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