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

作     者：A. Adiloglu Nabiev A. Adiloglu Nabiev

作者机构：Department of Mathematics Cumhuriyet University Sivas Turkey 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2016年第7卷第18期

页      面：2418-2423页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

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

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.