Zinsou Pascal - Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Bénin
Guy Degla - Institut de Mathématiques et de Sciences Physiques, Porto-Novo, Bénin

This paper deals with a generalization of the model describing the evolution of a linear viscoelastic body studied by Kirane M. and B.S. Houari in ۲۰۱۱. We prove the existence and uniqueness of the solution of the model using a C_۰-semi-group contraction method with a linear operator parameter. Moreover the strong stability of the solution is shown in a particular case.

Viscoelasticity, homogeneous evolution equation, monotone maximal operator