Abstract and Applied Analysis

Sufficient and Necessary Conditions for the Classification of Sturm-Liouville Differential Equations with Complex Coefficients

Bing Xie and Jian Gang Qi

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Abstract

This paper gives sufficient and necessary conditions for the classification of Sturm-Liouville differential equations with complex coefficients given by Brown et al. These conditions involve weighted Sobolev subspaces and the asymptotic behavior of elements in the maximal domain. The results of the present paper generalize the corresponding results for formally symmetric Sturm-Liouville differential equations to non-self-adjoint cases.

Article information

Source
Abstr. Appl. Anal., Volume 2011 (2011), Article ID 340796, 15 pages.

Dates
First available in Project Euclid: 12 August 2011

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1313171211

Digital Object Identifier
doi:10.1155/2011/340796

Mathematical Reviews number (MathSciNet)
MR2817269

Zentralblatt MATH identifier
1241.34031

Citation

Xie, Bing; Qi, Jian Gang. Sufficient and Necessary Conditions for the Classification of Sturm-Liouville Differential Equations with Complex Coefficients. Abstr. Appl. Anal. 2011 (2011), Article ID 340796, 15 pages. doi:10.1155/2011/340796. https://projecteuclid.org/euclid.aaa/1313171211


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