ON THE PERIODIC SOLUTIONS OF NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS VIA FIXED POINT METHOD
JOURNAL OF MATHEMATICAL ANALYSIS, vol.13, no.5, pp.35-48, 2022 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 13 Issue: 5
- Publication Date: 2022
- Doi Number: 10.54379/jma-2022-5-4
- Journal Name: JOURNAL OF MATHEMATICAL ANALYSIS
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
- Page Numbers: pp.35-48
- Keywords: Neutral integro-differential equation, existence of periodic solutions, Krasnoselskiis fixed point theorem, contracting mapping, FUNCTIONAL-DIFFERENTIAL EQUATIONS, EXISTENCE, STABILITY
- Van Yüzüncü Yıl University Affiliated: Yes
Abstract
In the present article, we study existence of periodic solutions (EPSs) of a nonlinear neutral integro- differential equation (NIDE) with multiple variable delays using Krasnoselskiis fixed point theorem. Transforming the considered NIDE to an equivalent integral equation, we prove the EPSs using a fixed point mapping, which is defined as a sum of a contraction and a compact map. The result of this paper has contributions to the topic of the EPSs of NIDEs.