International Journal of Nonlinear Analysis and Applications

Transmission system for waves with nonlinear weights and delay

Document Type : Research Paper

Authors

Applied Mathematical Laboratory (LaMa), Faculty of Sciences, University of Setif 1- SETIF, 19000, Algeria

Abstract

In this paper we consider a transmission problem for one dimensional waves with nonlinear weights on the frictional damping and time delay. We prove first, the existence and the uniqueness of the solution using the semigroup theory. Second, we chow the exponential stability of the solution by introducing a suitable Lyaponov functional.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 971-982
  • Receive Date: 23 April 2021
  • Revise Date: 04 July 2021
  • Accept Date: 05 July 2021