Existence results for positive periodic solutions to first order neutral differential equations with distributed deviating arguments

Year 2024, Early Access, 1 - 7

Tuncay Candan

https://doi.org/10.15672/hujms.1282490

Abstract

We take into account the first order nonlinear neutral differential equation with distributed deviating arguments.
Using Krasnoselskii's fixed point theorem, we give some new criteria for the existence of positive periodic solutions to this equation. The theorems we have established are illustrated by an example.

Keywords

ixed point, Distributed delay, Neutral equations, Positive periodic solution, First-order

References

• [1] T. Candan, Oscillation behavior of solutions for even order neutral functional differential equations, Appl. Math. Mech. (English Ed.) 27, 1311–1320, 2006.