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Existence of positive periodic solutions for two kinds of nonlinear neutral differential equations with variable delay. (English) Zbl 1268.34127

Summary: We study the existence of positive periodic solutions for classes of nonlinear neutral differential equations with variable delay. The main tool employed here is Krasnosel’skii’s hybrid fixed point theorem dealing with a sum of two mappings, one is a contraction and the other is completely continuous.

MSC:

34K13 Periodic solutions to functional-differential equations
34K40 Neutral functional-differential equations
47N20 Applications of operator theory to differential and integral equations
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