Asymptotic stability and decay rate of solutions for a nonlinear fourth order wave equation



This paper is concerned with investigating the global asymptotic behavior of the zero solution of the initial-boundary value problem for a nonlinear fourth order wave equation. Moreover an estimate of the rate of decay of the solutions is obtained.

AMS Mathematics Subject Classification

70K15 70K20 76B15 35B40 

Key words and phrases

Asymptotic Stability decay Rate nonlinear fourth order wave equation Lyapunov function 


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Copyright information

© Korean Society for Computational and Applied Mathematics 1997

Authors and Affiliations

  1. 1.Department of MathematicsShiraz UniversityShirazIran

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