On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions - Applied Mathematics

AM > Vol.7 No.18, December 2016

Volume 7, Issue 18 (December 2016)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions ()

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DOI: 10.4236/am.2016.718190 1,655 Downloads 3,126 Views Citations

Author(s)

A. Adiloglu Nabiev

Affiliation(s)

Department of Mathematics, Cumhuriyet University, Sivas, Turkey.

ABSTRACT

The boundary value problem with a spectral parameter in the boundary conditions for a polynomial pencil of the Sturm-Liouville operator is investigated. Using the properties of the transformation operators for such operators, the asymptotic formulas for eigenvalues of the boundary value problem are obtained.

KEYWORDS

Sturm-Liouville Equation, Boundary Value Problem, Transformation Operator, Spectral Theory of Differential Operators, Asymptotic Formulas, Fractional Derivative, Eigenvalue, Eigenfunction, Polynomial Pencil

Share and Cite:

Nabiev, A. (2016) On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions. Applied Mathematics, 7, 2418-2423. doi: 10.4236/am.2016.718190.

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