带有声学和分数边界条件、由源项和延迟项耦合的非线性波方程的全局存在性和一般衰减

IF 1.4 Q2 MATHEMATICS, APPLIED

Results in Applied Mathematics Pub Date : 2024-07-15 DOI:10.1016/j.rinam.2024.100476

Abdelbaki Choucha , Salah Boulaaras , Behzad Djafari-Rouhani , Rafik Guefaifia , Asma Alharbi

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引用次数: 0

摘要

本研究涉及声学与分数边界条件耦合的波方程解的全局存在性和一般衰减问题。在一些假设条件下，我们研究了解的全局存在性，并通过合适的 Lyapunov 函数证明了一般衰减结果。

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Global existence and general decay for a nonlinear wave equation with acoustic and fractional boundary conditions coupling by source and delay terms

This work deal with global existence and general decay of solutions of a wave equation with acoustic and fractional boundary conditions coupling by source and delay terms. Under some hypotheses, we study the global existence of the solution and by suitable Lyapunov function the general decay result is proved.

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来源期刊

Results in Applied Mathematics Mathematics-Applied Mathematics

CiteScore

3.20

自引率

10.00%

发文量

审稿时长

23 days