International Journal of Nonlinear Analysis and Applications
On stability, boundedness and square integrability of solutions For fourth-order differential equations of neutral type with variable delay
Document Type : Research Paper
Authors
1 Laboratory of Mathematics, Modelisation and Applications (LaMMA), Mathematics and Computer Science Department, University Ahmed Draia of Adrar, Adrar, Algeria
2 Department of Mathematics, University of Oran 1 Ahmed Ben Bella, 31000 Oran. Algeria
Abstract
This paper establishes sufficient conditions to ensure the stability and boundedness of zero solution and square integrability of solutions and their derivatives to neutral-type nonlinear differential equations of fourth order by constructing Lyapunov functionals.
Keywords
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Volume 14, Issue 1
January 2023Pages 2169-2181
- Receive Date: 28 July 2022
- Revise Date: 03 October 2022
- Accept Date: 26 November 2022