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Existence and stability of solution for transmission system with varying delay

S. Zitouni, A. Ardjouni, Kh. Zennir, R. Amiar


In this paper, under suitable assumptions on the weights of the damping and the delay terms, we prove the existence and uniqueness of solution for a coupled system of wave equations with a varying delay using the semi group theory in bounded domain. Also we show the stability result by introducing an appropriate Lyaponov functional.


Wave equation; Transmission problem; Varying delay term; Exponential stability; Semigroup theory; Lyaponov functional.

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