International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 11, Pages 83931, 24 p.
doi:10.1155/IJMMS/2006/83931

Existence and uniform decay of solutions for a class of generalized plate-membrane-like systems

Haihong Liu and Ning Su

Department of Mathematical Sciences, Tsinghua University, Beijing 100084, China

Abstract

We study the global existence, uniqueness, and asymptotic behavior of solutions for a class of generalized plate-membrane-like systems with nonlinear damping and source acting both interior and on boundary.