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ABOUT PARTIAL BOUNDARY DISSIPATION TO TIMOSHENKO SYSTEM WITH DELAY

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2020
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES
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WE CONSIDER THE TIMOSHENKO MODEL WITH PARTIAL DISSIPATIVE BOUNDARY CONDITION WITH DELAY, AND WE PROVE THAT THE SOLUTION DECAYS EXPONENTIALLY TO ZERO, PROVIDED THE WAVE SPEED ARE EQUAL; THIS IMPROVE EARLIER RESULT DUE TO BASSAM ET AL AND MUÑOZ RIVERA AND NASO. MOREOVER, CONSIDER THE EXPONENTIAL STABILITY TO THE CORRESPONDING SEMILINEAR PROBLEMS.
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