First-order impulsive differential systems: sufficient and necessary conditions for oscillatory or asymptotic behavior

Advances in Difference Equations

article

Santra, Shyam Sundar¹  Baleanu, Dumitru²  Khedher, Khaled Mohamed⁵  Moaaz, Osama⁷ 

[1] Department of Mathematics, JIS College of Engineering;Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Çankaya University Ankara;Instiute of Space Sciences;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Civil Engineering, College of Engineering, King Khalid University;Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus;Department of Mathematics, Faculty of Science, Mansoura University

关键词: Impulsive;    Knaster–Tarski fixed point theorem;    Oscillation;    Delay;    Neutral;    Banach fixed point theorem;   

DOI  :  10.1186/s13662-021-03446-1

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we study the oscillatory and asymptotic behavior of a class of first-order neutral delay impulsive differential systems and establish some new sufficient conditions for oscillation and sufficient and necessary conditions for the asymptotic behavior of the same impulsive differential system. To prove the necessary part of the theorem for asymptotic behavior, we use the Banach fixed point theorem and the Knaster–Tarski fixed point theorem. In the conclusion section, we mention the future scope of this study. Finally, two examples are provided to show the defectiveness and feasibility of the main results.

【 授权许可】

CC BY