线性微分方程的Diamond - Bessel - Klein - Gordon算子

Journal of Nonlinear Sciences and Applications Pub Date : 2019-03-31 DOI:10.22436/JNSA.012.08.06

W. Satsanit

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引用次数: 0

摘要

本文首先研究了迭代k次的Diamond Klein Gordon Bessel算子的Green函数。考虑格林函数的卷积性质，给出了一种分布理论的意义。最后，我们解出如下方程(♦B + d2)k u(x) = m∑r=0 cr(♦B + d2)k δ。我们发现，上述方程的类型取决于k和m之间的关系。

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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On the Diamond Bessel Klein Gordon operator related to linear differential equation

In this paper, first, we study the Green function of the Diamond Klein Gordon Bessel operator iterated k times. We give a sense of Distribution theory considering the properties of the convolution of the Green function. Finally, we solve the following equation ( ♦B + d2 )k u(x) = m ∑ r=0 cr ( ♦B + d2 )k δ. It was found that the type of above equation depend on the relationship between the value k and m.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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0.00%

发文量

期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.