Existence of periodic solutions for two types of second-order nonlinear neutral integro-differential equations with infinite distributed mixed-delays

Authors : Hocine Gabsi, Abdelouaheb Ardjouni, Ahcene Djoudi

Pages : 184-194

Doi:10.31197/atnaa.401104

View : 32 | Download : 18

Publication Date : 2018-12-24

Article Type : Research Paper

Abstract :We consider two types of second-order neutral functional differential equations with infinite distributed delays and offer existence criteria for periodic solutions. During the process we invert the integro-differential equations into equivalent integral equations and derive suitable fixed point mappings. We show that these mappings fit into the framework of Schauder`s fixed point theorem so that periodic solutions are readily obtained.
Keywords : Second order, Nonlinear neutral differential equations, Periodic solutions, Fixed point theorem, Distributed delays

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