Sufficient and Necessary Conditions for the Classification of Sturm-Liouville Differential Equations with Complex Coefficients-Reference-Cited by-同舟云学术

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

Published:2011 Issue: Volume:2011 Page:1-15
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Xie Bing¹,Qi Jian Gang¹

Affiliation:

1. Department of Mathematics, Shandong University at Weihai, Weihai 264209, China

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.

Funder

NSF of Shandong Province

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2011/340796.pdf

Reference24 articles.

1. �ber gew�hnliche Differentialgleichungen mit Singularit�ten und die zugeh�rigen Entwicklungen willk�rlicher Funktionen

2. On a Weyl–Titchmarsh theory for discrete symplectic systems on a half line

3. The Limit-2n Case of Symmetric Differential Operators of Order 2n

4. On Titchmarsh-Weyl M(λ)-functions for linear Hamiltonian systems

5. Hamiltonian systems of limit point or limit circle type with both endpoints singular

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Classification of Non-symmetric Sturm-Liouville Systems and Operator Realizations;Acta Applicandae Mathematicae;2012-09-01