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Chenini, Toufik, Timimoun, Chahnaz. (1404). Stability of the Kawahara equation with time-varying delay. فیزیولوژی و بیوتکنولوژی آبزیان, 13(2), 429-443. doi: 10.22124/jmm.2025.28275.2494
Toufik Chenini; Chahnaz Zakia Timimoun. "Stability of the Kawahara equation with time-varying delay". فیزیولوژی و بیوتکنولوژی آبزیان, 13, 2, 1404, 429-443. doi: 10.22124/jmm.2025.28275.2494
Chenini, Toufik, Timimoun, Chahnaz. (1404). 'Stability of the Kawahara equation with time-varying delay', فیزیولوژی و بیوتکنولوژی آبزیان, 13(2), pp. 429-443. doi: 10.22124/jmm.2025.28275.2494
Chenini, Toufik, Timimoun, Chahnaz. Stability of the Kawahara equation with time-varying delay. فیزیولوژی و بیوتکنولوژی آبزیان, 1404; 13(2): 429-443. doi: 10.22124/jmm.2025.28275.2494

Stability of the Kawahara equation with time-varying delay

Journal of Mathematical Modeling
مقاله 12، دوره 13، شماره 2، مرداد 2025، صفحه 429-443    اصل مقاله (249 K)
نوع مقاله: Research Article
شناسه دیجیتال (DOI): 10.22124/jmm.2025.28275.2494
نویسندگان
Toufik Chenini1؛ Chahnaz Zakia Timimoun* 2
1Universit\'e Oran1 Ahmed Ben Bella, Laboratoire de Mathématique et ses Applications, Oran, Algeria
2Université Oran1 Ahmed Ben Bella, Laboratoire de Mathématique et ses Applications, Oran, Algeria
چکیده
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.
کلیدواژه‌ها
Exponential stability؛ internal feedback with delay؛ energy of the system؛ Lyapunov functional
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مراجع
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