Blow up at infinity of solutions for integro-differential equation

摘要

In this paper we consider the blow up at infinity of solutions for the integro-differential equation with strong damping term as well as a time dependent nonlinear dissipative function Q and a driving force term f, under the homogeneous Dirichlet boundary conditions. Some interesting applications are given in particular subcases of Q and f. This improves earlier results in the literatures.