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

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

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摘要 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. 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.

作者 A. Adiloglu Nabiev A. Adiloglu Nabiev(Department of Mathematics, Cumhuriyet University, Sivas, Turkey)

机构地区 Department of Mathematics

出处《Applied Mathematics》 2016年第18期2418-2423,共7页 应用数学（英文）

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

分类号 O17 [理学—基础数学]

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Applied Mathematics

2016年第18期

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

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