具有非线性源项和延迟项的高阶非线性波动方程的存在性和稳定性结果

IF 0.3 Q4 MATHEMATICS

Mathematica Bohemica Pub Date : 2022-02-24 DOI:10.21136/mb.2022.0141-20

M. Abdelli, A. Beniani, N. Mezouar, Ahmed Chahtou

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引用次数: 0

摘要

在有界域中，我们考虑一个非线性高阶非线性双曲方程的初边值问题。将势阱理论与FaedoGalarkin方法相结合，建立了该问题全局弱解的存在性。我们还建立了全局解为t的渐近性态→ ∞ 通过应用李雅普诺夫方法。

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Existence and stability results of nonlinear higher-order wave equation with a nonlinear source term and a delay term

We consider the initial-boundary value problem for a nonlinear higher-order nonlinear hyperbolic equation in a bounded domain. The existence of global weak solutions for this problem is established by using the potential well theory combined with FaedoGalarkin method. We also established the asymptotic behavior of global solutions as t → ∞ by applying the Lyapunov method.

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来源期刊

Mathematica Bohemica MATHEMATICS-

CiteScore

1.10

自引率

0.00%

发文量

审稿时长

52 weeks