有限记忆时滞脉冲波动方程的适定性和稳定性

Dynamic Systems and Applications Pub Date : 2023-08-22 DOI:10.46719/dsa2023.32.05

Aissa Guesmia, Nasser Eddine Tatar

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Well-Posedness and Stability of a Retarded Impulsive Wave Equation with a Finite Memory

. Of concern is a wave equation which takes into account a discrete time delay in the state itself (and not in its time derivative). It is also subject to impulses and a control given by a (cid:12)nite memory term. We prove the well-posedness and exponential stability of our system. Our stability result shows that the damping eﬀect of the (cid:12)nite memory term is not destroyed neither by the impulses nor by the delay.

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来源期刊

Dynamic Systems and Applications 数学-数学

自引率

0.00%

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审稿时长

>12 weeks

期刊介绍： The aim of this quarterly journal is to provide an international forum for the information in the theory and practice of Dynamic Systems and Applications. This journal publishes carefully selected original research papers from stochastic/deterministic : Differential Equations ,Integral Equations, Integro-Differential Equations, Discrete Analogs of these equations, and Applications.