On uniform decay of solutions for wave equation of Kirchhoff type with nonlinear boundary damping and memory source term

In this paper we prove the existence of solution to the mixed problem for wave equation of Kirchhoff type with nonlinear boundary damping and memory term. Moreover we discuss the uniform decay of solution.

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Bibliographic Details
Published in:Applied mathematics and computation 2003-06, Vol.138 (2), p.463-478
Main Authors: Bae, Jeong Ja, Park, Jong Yeoul, Jeong, Jin Mun
Format: Article
Language:English
Subjects:
A priori estimates
Boundary value problem
Exact sciences and technology
Existence of solution
Integral equations
Mathematical analysis
Mathematics
Ordinary differential equations
Partial differential equations
Sciences and techniques of general use
Uniform decay
Wave equation
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Summary:In this paper we prove the existence of solution to the mixed problem for wave equation of Kirchhoff type with nonlinear boundary damping and memory term. Moreover we discuss the uniform decay of solution.
ISSN:0096-3003
1873-5649
DOI:10.1016/S0096-3003(02)00163-7