Blow up of Solutions for a System of Nonlinear Higher-order Kirchhoff-type Equations

摘要

In this work, we consider the initial boundary value problem for the Kirchhoff-type equations with damping and source terms in a bounded domain. We prove the blow up of the solution with positive initial energy by using the technique of [26] with a modification in the energy functional due to the different nature of problems. This improves earlier results in the literature [3, 9, 13, 21].