Blow up Solutions to a System of Higher-order Kirchhoff-type Equations with Positive Initial Energy

Abstract

In this paper we investigate blow up property of solutions for a system of nonlinear higher order Kirchhoff equations with nonlinear dissipations and positive initial energy. Some estimates for lower bound of the blow up time are also given. This improves and extends the blow up results in [16] by Liu and Wang (2006) and Gao et al. [7] (2011).