Author(s)

A. Adiloglu Nabiev

Department of Mathematics, Cumhuriyet University, Sivas, Turkey.

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.

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

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.