无界时间尺度上Sturm-Liouville算子解的一些性质

Q4 Mathematics

Mathematica Pub Date : 2019-06-30 DOI:10.24193/MATHCLUJ.2019.1.01

B. Allahverdiev, H. Tuna

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引用次数: 5

摘要

本文研究了无界时间尺度上Sturm-Liouville问题的预解算子。我们得到了这个算子的预解式的积分表示。随后，我们讨论了预解算子的一些性质，如Hilbert-Schmidt的核性质和紧性。最后，我们给出了无界时间尺度上Sturm-Liouville问题的Titchmarsh-Weyl函数的一个公式。MSC 2010。34N05、34L05、47A10。

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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Some properties of the resolvent of Sturm-Liouville operators on unbounded time scales

In this article, we investigate the resolvent operator of Sturm-Liouville problem on unbounded time scales. We obtain integral representations for the resolvent of this operator. Later, we discuss some properties of the resolvent operator, such as Hilbert-Schmidt’s kernel property and compactness. Finally, we give a formula for the Titchmarsh-Weyl function of the Sturm-Liouville problem on unbounded time scales. MSC 2010. 34N05, 34L05, 47A10.

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来源期刊

Mathematica Mathematics-Mathematics (all)

CiteScore

0.30

自引率

0.00%

发文量