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Eigenparameter dependent Sturm–Liouville problems in boundary conditions with transmission conditions
- Source :
-
Journal of Mathematical Analysis & Applications . May2013, Vol. 401 Issue 1, p388-396. 9p. - Publication Year :
- 2013
-
Abstract
- Abstract: In this paper, we investigate the nonselfadjoint (dissipative) boundary value transmission problems in Weyl’s limit-circle case. At first using the method of operator-theoretic formulation we pass to a new operator. After showing that this new operator is a maximal dissipative operator, we construct a selfadjoint dilation of the maximal dissipative operator. Using the equivalence of the Lax–Phillips scattering function and the Sz.-Nagy-Foiaş characteristic function, we show that all eigenfunctions and associated functions are complete in the space . [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 401
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 85178380
- Full Text :
- https://doi.org/10.1016/j.jmaa.2012.12.020