正则分数阶Sturm-Liouville问题正解的存在性

Fractional Differential Calculus Pub Date : 1900-01-01 DOI:10.7153/fdc-2019-09-18

Tahereh Haghi, K. Ghanbari, A. Mingarelli

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引用次数: 1

摘要

．本文研究了一类正则分段Sturm-Liouville问题的存在性和不存在性结果。我们发现这个问题的特征值区间可能有正解，也可能没有正解。给出了正解存在和不存在的几个充分条件。进一步研究了正解的一些特殊性质。我们在最后给出了一些例子。

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 of positive solutions for regular fractional Sturm-Liouville problems

. In this article we investigate existence and nonexistence results for some regular frac- tional Sturm-Liouville problems. We ﬁ nd the eigenvalues intervals of this problem may or may not have a positive solution. Some suf ﬁ cient conditions for existence and nonexistence of posi- tive solutions are given. Further, we study some special properties of positive solutions. We give some examples at the end.

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来源期刊

Fractional Differential Calculus

CiteScore

1.30

自引率

0.00%

发文量