Principal and Nonprincipal Solutions of Impulsive Dynamic Equations: Leighton and Wong Type Oscillation Theorems

thumbnail.default.placeholder
Date
2023-10-17
Authors
Zafer, Ağacık
Akgöl, Sibel Doğru
Journal Title
Journal ISSN
Volume Title
Publisher
Acta Applicandae Mathematicae
Abstract
Principal and nonprincipal solutions of differential equations play a critical role in studying the qualitative behavior of solutions in numerous related differential equations. The existence of such solutions and their applications are already documented in the literature for differential equations, difference equations, dynamic equations, and impulsive differential equations. In this paper, we make a contribution to this field by examining impulsive dynamic equations and proving the existence of such solutions for second-order impulsive dynamic equations. As an illustration, we prove the famous Leighton and Wong oscillation theorems for impulsive dynamic equations. Furthermore, we provide supporting examples to demonstrate the relevance and effectiveness of the results.
Description
Published by Acta Applicandae Mathematicae, https://doi.org/10.1007/s10440-023-00614-1, A. Zafer, College of Engineering and Technology, American University of the Middle East, Egaila, 54200, Kuwait, S. Doğru Akgöl, Department of Mathematics, Atılım University, 06830, İncek, Ankara, Turkey.
Keywords
2000 Mathematics Subject Classification. 34N05, 34C10, 34A37. Dynamic impulsive equation, oscillation, principal/ nonprincipal solutions, time scale, discontin- uous solutions
Citation
http://hdl.handle.net/20.500.14411/1902
Collections