On a stochastic hyperbolic integro-differential equation |
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| Authors: | Jong Uhn Kim |
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| Institution: | Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, USA |
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| Abstract: | In this paper we study an initial-boundary-value problem for a hyperbolic integro-differential equation with random memory and a random noise. We establish the existence, uniqueness and exponential stability of solutions. Our method consists of finite-dimensional approximation and energy estimates. |
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| Keywords: | 35R60 45K05 60H15 |
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