时间尺度上的脉冲风暴-刘维尔问题

IF 0.5 Q3 MATHEMATICS Facta Universitatis-Series Mathematics and Informatics Pub Date : 2022-09-20 DOI:10.22190/fumi220217046a

B. Allahverdiev, H. Tuna

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引用次数: 1

摘要

研究了Sturm-Lioville时间尺度上的脉冲Sturm-Lioville问题。我们研究了该问题解的存在唯一性。研究了边值问题的一些谱性质和自伴随性。随后，我们构造了这个问题的格林函数。最后，得到特征函数展开式。

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IMPULSIVE STURM-LIOUVILLE PROBLEMS ON TIME SCALES

In this paper, we consider an impulsive Sturm-Lioville problem on Sturmian time scales. We investigate the existence and uniqueness of the solution of this problem. We study some spectral properties and self-adjointness of the boundary-value problem. Later, we construct the Green function for this problem. Finally, an eigenfunction expansion is obtained.

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Facta Universitatis-Series Mathematics and Informatics MATHEMATICS-

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