General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback

By Wenjun Liu. 2012

60 citations recorded by the source corpus.

In this paper we consider a viscoelastic wave equation with a time-varying delay term, the coefficient of which is not necessarily positive. By introducing suitable energy and Lyapunov functionals, under suitable assumptions, we establish a general energy decay result from which the exponential and polynomial types of decay are only special cases.

Subfields: Applied Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/437b20ba0cc75573c3d4a78dba4fba5798ddb30c