First-order impulsive differential systems: sufficient and necessary conditions for oscillatory or asymptotic behavior
Open Access
- 9 June 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Advances in Difference Equations
- Vol. 2021 (1), 1-20
- https://doi.org/10.1186/s13662-021-03446-1
Abstract
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.Keywords
Funding Information
- King Khalid University (RGP. 1/372/42.)
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