Inequalities Among Eigenvalues of Left-definite Sturm-Liouville Problems
Inequalities Among Eigenvalues of Left-definite Sturm-Liouville Problems
摘要
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.
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