Lakhchine , LyndaLakhchine , MeriemATOUI , Halim2025-07-232025-07-232022-07-06http://dspace.univ-skikda.dz:4000/handle/123456789/5022In 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.enMasters degree Thesis