A priori bounds and existence of non-real eigenvalues for singular indefinite Sturm–Liouville problems with limit-circle type endpoints

Author:

Sun Fu,Qi Jiangang

Abstract

AbstractThe present paper deals with non-real eigenvalues of singular indefinite Sturm–Liouville problems with limit-circle type endpoints. A priori bounds and the existence of non-real eigenvalues of the problem associated with a special separated boundary condition are obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference21 articles.

1. Mingarelli, A. B. . A survey of the regular weighted Sturm–Liouville problem – The non-definite case, arXiv:1106.6013v1 [math.CA], (2011).

2. Non-real eigenvalues of indefinite Sturm–Liouville problems

3. Indefinite Sturm–Liouville problems

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