A Sturm-Liouville Problem with a Discontinuous Coefficient and Containing an Eigenparameter in the Boundary Condition | Zendy

Erdoğan Şen | Zendy

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A Sturm-Liouville Problem with a Discontinuous Coefficient and Containing an Eigenparameter in the Boundary Condition

Author(s) -

Erdoğan Şen

Publication year - 2013

Publication title -

physics research international

Language(s) - English

Resource type - Journals

eISSN - 2090-2239

pISSN - 2090-2220

DOI - 10.1155/2013/159243

Subject(s) - sturm–liouville theory , eigenfunction , eigenvalues and eigenvectors , operator (biology) , boundary value problem , mathematical analysis , mathematics , boundary (topology) , function (biology) , physics , quantum mechanics , chemistry , biochemistry , repressor , evolutionary biology , biology , transcription factor , gene

We study a Sturm-Liouville operator with eigenparameter-dependent boundary conditions and transmission conditions at two interior points. We give an operator-theoretic formulation, construct fundamental solutions, investigate some properties of the eigenvalues and corresponding eigenfunctions of the discontinuous Sturm-Liouville problem and then obtain asymptotic formulas for the eigenvalues and eigenfunctions and find Green function of the discontinuous Sturm-Liouville problem

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