Department of Mathematics and Information Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
Copyright © 2010 Yaojun Ye. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The initial boundary value problem for a class of nonlinear higher-order wave equation with damping and source term in a
bounded domain is studied, where , is a nature number, and and are real numbers. The existence of global solutions for this problem is proved by constructing the stable sets and shows the asymptotic stability of the global solutions as time goes to infinity by applying the multiplier method.