Inequalities Among Eigenvalues of Left-definite Sturm-Liouville Problems

Chinese Quarterly Journal of Mathematics ›› 2010, Vol. 25 ›› Issue (2): 300-307.

Inequalities Among Eigenvalues of Left-definite Sturm-Liouville Problems

1. Faculty of Mathematics and Physics, Anhui University of Technology2. Department of Computer Science, Anhui University of Technology

Received:2006-10-11 Online:2010-06-30 Published:2023-06-06
About author:ZHANG Yan-xia(1980-), female, native of Zoucheng, Shandong, a lecturer of Anhui University of Technology, M.S.D., engages in functional analysis; ZHANG Xue-feng(1978-), male, native of Xingtang, Hebei, an associate professor of Anhui University of Technology, Ph.D., engages in computer simulation.

Abstract

Abstract: There are well-known inequalities among eigenvalues of right-definite Sturm-Liouville problems. In this paper, we study left-definite regular self-adjoint Sturm-Liouville problems with separated and coupled boundary conditions. For any fixed equation, we establish a sequence of inequalities among the eigenvalues for different boundary conditions, which is both theoretical and computational importance.

Key words: Sturm-Liouville problems, right-definiteness, left-definiteness, eigenvalue inequalities

CLC Number:

O175.9

ZHANG Yan-xia, ZHANG Xue-feng. Inequalities Among Eigenvalues of Left-definite Sturm-Liouville Problems [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(2): 300-307.

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Inequalities Among Eigenvalues of Left-definite Sturm-Liouville Problems

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