Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 41, pp. 1-20.

Title: Interior feedback stabilization of  wave equations
       with time dependent delay

Authors: Serge Nicaise   (Univ. de Valenciennes, Cedex, France)
         Cristina Pignotti (Univ.di L'Aquila, Italy)

Abstract: 
 We study the stabilization problem by interior damping
 of the wave equation with boundary or internal time-varying delay
 feedback in a bounded and smooth domain. By introducing suitable
 Lyapunov functionals exponential stability estimates are obtained
 if the delay effect is appropriately compensated by the internal
 damping.
 
Submitted July 26, 2010. Published March 17, 2011.
Math Subject Classifications: 35L05, 93D15.
Key Words: Wave equation; delay feedback; stabilization.