Abstract
We present the geometric method for detecting periodic solutions of time periodic nonautonomous differential equations in interior of convex subset of euclidean space. The method is based on the Lefschetz fixed point theorem and the topological principle of Ważewski. Two applications to the existence of positive periodic solutions are considered.
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Research supported by the KBN grant 2 P03A 040 10
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Wójcik, K. On existence of positive periodic solutions. Monatshefte für Mathematik 125, 343–350 (1998). https://doi.org/10.1007/BF01305348
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DOI: https://doi.org/10.1007/BF01305348