Czechoslovak Mathematical Journal, Vol. 59, No. 2, pp. 287-303, 2009

Uniform decay for a hyperbolic system with differential inclusion and nonlinear memory
source term on the boundary

Jong Yeoul Park, Sun Hye Park

Jong Yeoul Park, Department of Mathematics, Busan National University, Busan 609-735, Korea, e-mail: jyepark@pusan.ac.kr; Sun Hye Park, Department of Mathematics, Pusan National University, Busan, 609-735, Korea e-mail: sh-park@pusan.ac.kr

Abstract: We prove the existence and uniform decay rates of global solutions for a hyperbolic system with a discontinuous and nonlinear multi-valued term and a nonlinear memory source term on the boundary.

Keywords: existence of solution, differential inclusion, memory source term, uniform decay

Classification (MSC 2000): 35L70, 35L85, 49J53

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