IJPAM: Volume 76, No. 4 (2012)
GLOBAL EXISTENCE, EXPONENTIAL AND POLYNOMIAL
DECAY SOLUTIONS FOR A SYSTEM CLASS OF
NONLINEAR HIGHER-ORDER WAVE EQUATIONS
WITH DAMPING AND SOURCE TERMS
DECAY SOLUTIONS FOR A SYSTEM CLASS OF
NONLINEAR HIGHER-ORDER WAVE EQUATIONS
WITH DAMPING AND SOURCE TERMS
Erhan Pişkin
, Necat Polat
Department of Mathematics
Dicle University
Diyarbakir, TURKEY



Dicle University
Diyarbakir, TURKEY
Abstract. We consider the system a class of nonlinear higher-order wave equations
with initial and Dirichlet boundary conditions. Under suitable conditions on the initial datum, the theorems of global existence and decay are proved.
Received: January 17, 2012
AMS Subject Classification: 35B40, 35G31
Key Words and Phrases: decay, higher-order wave equations, nonlinear damping and source terms
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 76
Issue: 4