where u (x, t) denotes the unknown function, f (s) is the given nonlinear function, u0 (x) and u1 (x) are the given initial value functions, k is a constant, the subscript t indicates the partialâ€¦ (More)

We study the initial-boundary value problem for a system of nonlinear wave equations with nonlinear damping and source terms, in a bounded domain. The decay estimates of the energy function areâ€¦ (More)

In this paper, we consider a class of strongly damped multidimensional nonlinear wave equations in a bounded domain. We show that we can always find initial data in the stable set for which theâ€¦ (More)

This paper studies the Cauchy problem of the generalized damped double dispersion equation. By using multiplier method, it is proven that the global solution of the problem decays to zeroâ€¦ (More)