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Positive periodic solutions for first-order neutral functional differential equations with periodic delays. (English) Zbl 1245.34073

Summary: Two classes of first-order neutral functional differential equations with periodic delays are considered. Some results on the existence of positive periodic solutions for the equations are obtained by using Krasnoselskii’s fixed point theorem. Four examples are included to illustrate our results.

MSC:

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

References:

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[3] Y. Luo, W. Wang, and J. H. Shen, “Existence of positive periodic solutions for two kinds of neutral functional differential equations,” Applied Mathematics Letters, vol. 21, no. 6, pp. 581-587, 2008. · Zbl 1149.34040 · doi:10.1016/j.aml.2007.07.009
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