This paper deals with decay properties for the solutions of second-order damped abstract evolution equations. A large number of applications is given, concerning damped wave systems, more general systems of evolution type, and Lagrangian quasi-variational systems. We consider the case in which the time-dependence of the damping term is bounded.
"Decay for the solutions of nonlinear abstract damped evolution equations with applications to partial and ordinary differential systems." Differential Integral Equations 11 (2) 223 - 262, 1998.