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- W3215729229 abstract "In this article, we study the existence of periodic solutions for measure functional differential equations of the formx(t)=x(0)+∫0tf(s,xs)ds+∫0tg(s,xs)du(s), defined for every t∈R, under suitable assumptions on f,g and u, where the integrals on the right–hand side exist in the Perron and Perron–Stieltjes sense, respectively. We make use of a topological transversality theorem to obtain the main result. Some examples are presented to illustrate the developed theory. Moreover, we apply the results obtained in the context of measure functional differential equations to establish the existence of periodic solutions for a class of impulsive functional differential equations." @default.
- W3215729229 created "2021-12-06" @default.
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- W3215729229 date "2022-02-01" @default.
- W3215729229 modified "2023-10-14" @default.
- W3215729229 title "Periodic solutions of measure functional differential equations" @default.
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- W3215729229 doi "https://doi.org/10.1016/j.jde.2021.11.031" @default.
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