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Energy decay rate for a von Karman system with a boundary nonlinear delay term
Authors:Daewook Kim  Jong Yeoul Park  Yong Han Kang
Affiliation:1. Department of Mathematics and Education, Seowon University, Cheongju 28674, Republic of Korea;2. Department of Mathematics, Pusan National University, Pusan 609-735, Republic of Korea;3. Institute of Basic Liberal Education, Daegu Catholic University, Gyeongsan-si Gyeongsangbuk-do 680-749, Republic of Korea
Abstract:In this paper, we show the energy decay rate for a von Karman system with a boundary nonlinear delay term. This work is devoted to investigate the influence of kernel function g and the effect of the boundary nonlinear term μ1|ut(t)|m?1ut(t), a boundary nonlinear time delay term μ2|ut(t?τ)|m?1ut(t?τ) and prove energy decay rates of solutions when g do not necessarily decay exponentially and the boundary condition has a time delay.
Keywords:von karman system  Nonlinear boundary delay term  Exponential energy decay rate
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