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.
Highlights
Open AccessIn this paper the boundary value problem, generated on the finite interval 0 ≤ x ≤ π by equation ( ) − y′′ + q0 ( x ) + λ q1 λ n q −1 n −1 y =λ 2n y (1)and the boundary conditions
There has been a growing interest in SturmLiouville problems with spectral parameter in boundary conditions in recent years and there are a lot of articles on this subject in the literature
Note that many of these investigations are based on some integral representations for the fundamental solutions of the Sturm-Liouville equation called transformation operators
Summary
How to cite this paper: Adiloglu Nabiev, A. (2016) On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions. How to cite this paper: Adiloglu Nabiev, A. (2016) On a Boundary Value Problem for a Polynomial Pencil of the Sturm-Liouville Equation with Spectral Parameter in Boundary Conditions.
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