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

Year 2018, Volume: 2 Issue: 4, 184 - 194, 24.12.2018

Hocine Gabsi Abdelouaheb Ardjouni Ahcene Djoudi

https://doi.org/10.31197/atnaa.401104

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.

References

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