THE INFINITE PRODUCT REPRESENTATION OF SOLUTIONS OF INDEFINITE STURM-LIOUVILLE PROBLEMS WITH TWO TURNING POINTS

A. Jodayree Akbarfam; Angelo B. Mingarelli

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THE INFINITE PRODUCT REPRESENTATION OF SOLUTIONS OF INDEFINITE STURM-LIOUVILLE PROBLEMS WITH TWO TURNING POINTS

机译：带有两个转向点的不确定Sturm-Liouville问题的解的无限产品表示

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摘要

We study the infinite product representation of solutions of second order differential equations of Sturm-Liouville type on a finite interval having two turning points under the assumption that one of the turning points is of odd order while the other is of even order. Such representations are useful in the associated studies of inverse spectral problems for such equations.

机译：我们在一个具有两个转折点的有限区间上研究了Sturm-Liouville型二阶微分方程解的无穷乘积表示，假设其中一个转折点为奇数阶，而另一个转折点为偶数阶。这样的表示对于这样的方程的反谱问题的相关研究是有用的。

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来源
《Arabian Journal for Science and Engineering. Section A, Sciences》 |2006年第1a期|p.69-85|共17页
作者
A. Jodayree Akbarfam; Angelo B. Mingarelli;
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作者单位

Faculty of Mathematical Sciences, Tabriz University Tabriz, Iran;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类自然科学总论;
关键词
turning point; sturm-liouville; nondefinite problem; infinite products; hadamard factorization theorem; spectral theory;

机译：转折点;Sturm-liouville;不定问题;无限乘积;哈达玛分解定理;谱理论;

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THE INFINITE PRODUCT REPRESENTATION OF SOLUTIONS OF INDEFINITE STURM-LIOUVILLE PROBLEMS WITH TWO TURNING POINTS

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