On stability, boundedness and square integrability of solutions For fourth-order differential equations of neutral type with variable delay

Document Type : Research Paper


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


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.


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Volume 14, Issue 1
January 2023
Pages 2169-2181
  • Receive Date: 28 July 2022
  • Revise Date: 03 October 2022
  • Accept Date: 26 November 2022