Browsing by Author "ATOUI , Halim"
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Item Waves under time-varing delay(Faculty of Sciences, 2022-07-06) Lakhchine , Lynda; Lakhchine , Meriem; ATOUI , HalimIn this work we study a transmission problem for one dimensional wave equations with nonlinear weights and under the effects of time-varying delay. Using Kato’s technique we prove existence and uniqueness of solutions and we construct a suitable Lyapunov functional to understand the asymptotic behavior of solutions.