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Dissipative non-self-adjoint Sturm–Liouville operators and completeness of their eigenfunctions
- Source :
-
Journal of Mathematical Analysis & Applications . Oct2012, Vol. 394 Issue 1, p1-12. 12p. - Publication Year :
- 2012
-
Abstract
- Abstract: In this paper, non-self-adjoint Sturm–Liouville operators in Weyl’s limit-circle case are studied. We first determine all the non-self-adjoint boundary conditions yielding dissipative operators for each allowed Sturm–Liouville differential expression. Then, using the characteristic determinant, the completeness of the system of eigenfunctions and associated functions for these dissipative operators is proved. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 394
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 76328775
- Full Text :
- https://doi.org/10.1016/j.jmaa.2012.04.071