# American Institute of Mathematical Sciences

October  2005, 12(5): 949-958. doi: 10.3934/dcds.2005.12.949

## Non-existence of global solutions for nonlinear strongly damped hyperbolic systems

 1 Department of Mathematics, Southeast University, Nanjing 210018, China 2 Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, China

Received  January 2004 Revised  October 2004 Published  February 2005

In this paper, we focus on the Cauchy problems of nonlinear strongly damped hyperbolic equations and systems. We give some conditions on the non-existence of global solutions.
Citation: Fuqin Sun, Mingxin Wang. Non-existence of global solutions for nonlinear strongly damped hyperbolic systems. Discrete & Continuous Dynamical Systems - A, 2005, 12 (5) : 949-958. doi: 10.3934/dcds.2005.12.949
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