Volume no :12, Issue no: 2, November (2014)

WAVE EQUATIONS WITH DELAY

Author's: Chien-Ning Yeh and Chun-Liang Shih
Pages: [145] - [165]
Received Date: November 4, 2014
Submitted by:

Abstract

In this work, we study the existence and uniqueness of solutions to a class of retarded integro-differential Volterra equations. The proofs are based on the well-posedness of solutions to integro-differential Volterra equations. As an application, we get of the wave equations with memory effects

that satisfy the Dirichlet boundary conditions.

Keywords

Hille-Yosida operator, integro-differential equation, delay equation, wave equation.