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M. Eastham, Qingkai Kong, H. Wu, A. Zettl (1999)
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Xifang Cao, Qingkai Kong, Hongyou Wu, A. Zettl (2007)
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P. Binding, H. Volkmer (2006)
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Zhong Wang, Hongyou Wu (2009)
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Guixia Wang, Zhong Wang, Hongyou Wu (2008)
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Based on some recent results for interlacing eigenvalue intervals from 1-parameter families of sequences of eigenvalue inequalities, a new method is given to solving the index problem for Sturm-Liouville eigenvalues for coupled self-adjoint boundary conditions in the regular case. The key is a new characteristic principle for indices for Sturm-Liouville eigenvalues. The algorithm corresponding on the characteristic principle are discussed, and numerical examples are presented to illustrate the theoretical results and show that the algorithm is valid.
Acta Mathematicae Applicatae Sinica – Springer Journals
Published: Nov 3, 2015
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