Dichotomy Condition and Periodic Solutions for Two Nonlinear Neutral Systems. (1st August 2022)

• Record Type: Journal Article
• Authors: Mesmouli, Mouataz Billah; Attiya, Adel A.; Elmandouha, A. A.; Tchalla, Ayékotan M. J.; Hassan, Taher S.
• Other Names: Matucci Serena Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2022(2022)
• Publication Date: 2022-08-01
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2022/6319312
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this article, we consider two nonlinear neutral systems with multiple delays. Our main tool here is to use dichotomy theory to construct an implicit solution for these two systems. Utilizing Krasnoselskii's fixed point theorem, we obtain sufficient criteria for the existence of periodic solutions, as well as for the uniqueness of solutions. The main results expand and generalize certain previously published findings.