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stability of the kawahara equation with time-varying delay
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نویسنده
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chenini toufik ,timimoun chahnaz zakia
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منبع
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journal of mathematical modeling - 2025 - دوره : 13 - شماره : 2 - صفحه:429 -443
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چکیده
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In this work, we consider the nonlinear kawahara equation with internal time-dependent delay in a bounded domain. we prove that this equation has a unique solution. moreover, we use a lyapunov functional approach to prove the exponential stability of the nonlinear system, under some assumptions on the weights of the feedbacks and on the time-dependent delay. we present some numerical simulations to illustrate the obtained results.
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کلیدواژه
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exponential stability ,internal feedback with delay ,energy of the system ,lyapunov functional
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آدرس
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universite oran1 ahmed ben bella, laboratoire de mathématique et ses applications, algeria, universite oran1 ahmed ben bella, laboratoire de mathématique et ses applications, algeria
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پست الکترونیکی
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z.c.timimoun@gmail.com
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Authors
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