Double Discontinuous Inverse Problems for Sturm-Liouville Operator with Parameter-Dependent Conditions
Author(s) -
A. Sinan Ozkan,
Baki Keskin,
Yaşar Çakmak
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/794262
Subject(s) - sturm–liouville theory , mathematics , classification of discontinuities , inverse , operator (biology) , mathematical analysis , boundary value problem , inverse problem , interval (graph theory) , spectral theory of ordinary differential equations , spectrum (functional analysis) , function (biology) , boundary (topology) , combinatorics , quasinormal operator , finite rank operator , banach space , gene , biochemistry , chemistry , physics , geometry , repressor , quantum mechanics , evolutionary biology , biology , transcription factor
The purpose of this paper is to solve the inverse spectral problems for Sturm-Liouville operator with boundary conditions depending on spectral parameter and double discontinuities inside the interval. It is proven that the coefficients of the problem can be uniquely determined by either Weyl function or given two different spectral sequences
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