非局部奇异二阶微分方程的Weyl分类

Abstract

Abstract:

The present paper is concerned with the Weyl classification of second order singular Sturm-Liouville equations with nonlocal point potential. We give the Weyl classification for these equations and give sufficient and necessary conditions for the division of these two kinds. Furthermore, the most important part is the situation of square integrable solutions for λ on the real axis, which has essential differences with the classical equation, and corresponding sufficient and necessary conditions are also obtained.

Key words: Limit-point, Limit-cricle, Nonlocal potential, Sturm-Liouville equation, Square integrable solution

CLC Number:

O175

Zhiwen Liu,Jiangang Qi,Yafei Xu. Weyl Classification of Nonlocal Singular Second Order Differential Equations[J].Acta mathematica scientia,Series A, 2020, 40(5): 1295-1304.

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References 17

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Weyl Classification of Nonlocal Singular Second Order Differential Equations

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