Waves under time-varing delay
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Date
2022-07-06
Journal Title
Journal ISSN
Volume Title
Publisher
Faculty of Sciences
Abstract
In 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.