带有非线性对数源项和非线性动力学边界条件的波方程的局部存在性和炸毁，以及分布式延迟

IF 0.9 Q2 MATHEMATICS

Afrika Matematika Pub Date : 2024-08-24 DOI:10.1007/s13370-024-01212-6

Abdelbaki Choucha, Salah Boulaaras, Mohammad Alnegga

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引用次数: 0

摘要

在本文中，我们重点讨论了一种与对数源项、分布式延迟和动态边界条件有关的双曲方程。在舒适的主数据条件下，我们得到了局部存在的弱解。利用 Faydo-Galerkin 方法和 Schoder 定点定理找到了解的结果。然后，研究了最小吹胀结果。我们的工作是对之前一些工作的扩展。

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Local existence and blow up for the wave equation with nonlinear logarithmic source term and nonlinear dynamical boundary conditions combined with distributed delay

In this paper we highlight a type of hyperbolic equation relating the logarithmic source term with distributed delay and dynamic boundary condition. We get, under comfortable primary data is the weak solution to local existence. The results of the solutions were found using the Faydo–Galerkin method and Schoder’s fixed point theorem. Then, the minimum blow-up result was studied. Our work is an extension of some previous work.

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来源期刊

Afrika Matematika MATHEMATICS-

CiteScore

2.00

自引率

9.10%

发文量