一类具有非局部边界条件的伪双曲型方程解的存在唯一性

IF 0.3 Q4 MATHEMATICS Thai Journal of Mathematics Pub Date : 2015-01-01 DOI:10.12785/AMIS/090423

A. Merad, A. Bouziani, S. Araci

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引用次数: 2

摘要

在最近一些研究的激励下，我们定义并研究了在纯积分(非局部)条件下定义的一类伪双曲方程的各种性质。我们从拉普拉斯变换方法中得到了一些有用的结果，包括(例如)存在性、唯一性和连续性。此外，我们还利用数值技术(Stehfest算法)求解了这一问题，从而证明了所提方法的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Existence and Uniqueness for a Solution of Pseudohyperbolic equation with Nonlocal Boundary Condition

Motivated by a number of recent investigations, we define and investigate the various properties of a class of pseudohyperbolic equation defined on purely integral (nonl ocal) conditions. We derive useful results involving this c lass including (for example) existence, uniqueness and continuous arising from the Laplace transform method. In addition, we make use of obtaining such a problem to solve the using a numerical technique (Stehfest algorithm) which provides to show the accuracy of the proposed method.

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来源期刊

Thai Journal of Mathematics MATHEMATICS-

CiteScore

0.70

自引率

20.00%

发文量

期刊介绍： Thai Journal of Mathematics (TJM) is a peer-reviewed, open access international journal publishing original research works of high standard in all areas of pure and applied mathematics.