时标线性加权Sturm-Liouville特征值问题的谱理论分析

Abstract

Abstract: This paper discusses some global results on eigenvalue and zero distribution for eigenfunction of the linear weighted Sturm-Liouville eigenvalue problem on time scales. We obtain Sturm comparison theorem and Sturm separation theorem and prove the existence of the smallest positive eigenvalue and the corresponding positive eigenfunction.

Key words: Time scales, Weighted Sturm-Liouville problems, Eigenvalues, Eigenfunctions, Generalized zeros

CLC Number:

O175.9

Luo Hua. Spectral Theory of Linear Weighted Sturm-Liouville Eigenvalue Problems[J].Acta mathematica scientia,Series A, 2017, 37(3): 427-449.

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References

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Spectral Theory of Linear Weighted Sturm-Liouville Eigenvalue Problems

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