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On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions
Department of Mathematics, Cumhuriyet University, Sivas, Turkey
- 1 Department of Mathematics, Cumhuriyet University, Sivas, Turkey
Applied Mathematics·Volume 07 (2016)·Pages 2418–2423·Published 2 December 2016·DOI10.4236/am.2016.718190
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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.
KeywordsSturm-Liouville EquationBoundary Value ProblemTransformation OperatorSpectral Theory of Differential OperatorsAsymptotic FormulasFractional DerivativeEigenvalueEigenfunctionPolynomial Pencil
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