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

Aleksander Ćwiszewski

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Positive periodic solutions of nonautonomous functional differential equations depending on a parameter.

Zhang, Guang, Cheng, Sui Sun (2002)

Abstract and Applied Analysis

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Periodic solutions to retarded and partial functional differential equations.

Pavlakos, Panaiotis K., Stratis, Ioannis G. (1994)

Portugaliae Mathematica

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On the semilinear multi-valued flow under constraints and the periodic problem

Ralf Bader (2000)

Commentationes Mathematicae Universitatis Carolinae

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$^{* *}$ In the paper we will be concerned with the topological structure of the set of solutions of the initial value problem of a semilinear multi-valued system on a closed and convex set. Assuming that the linear part of the system generates a $C_{0}$ -semigroup we show the $R_{δ}$ -structure of this set under certain natural boundary conditions. Using this result we obtain several criteria for the existence of periodic solutions for the semilinear system. As an application the problem...