A NOTE ON THE TELEGRAPH TYPE DIFFERENTIAL EQUATION WITH TIME INVOLUTION

Abstract

In the present paper, the initial value problem for the telegraph type involutory in t second order linear partial differential equation with damping term is investigated. The equivalent initial value problem for the fourth order partial differential equations to the initial value problem for this second order linear partial differential equations with involution and damping term is obtained. Applying the operator tools, the stability estimates for the solution and its first and second order derivatives of this problem are established. © 2024 Elsevier B.V., All rights reserved.