Journal Article

·2013 OPEN ACCESS

Eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with an eigenparameter in the boundary condition

S. C̣aliṣkan YTU , Azad Bayramov YTU , Z. Oer YTU , Sinan Uslu YTU

Rocky Mountain Journal of Mathematics

Abstract

In this paper we get asymptotic formulas for eigenvalues and eigenfunctions of discontinuous two-point boundary value problems with the eigenparameter in the boundary conditions with transmission conditions at the two points of discontinuity. When our problem is continuous the obtained results coincide with the corresponding results in [{\bf3}].

Keywords

Mathematics Eigenfunction Eigenvalues and eigenvectors Discontinuity (linguistics) Boundary value problem Mathematical analysis Boundary (topology) Point (geometry) Mixed boundary condition Boundary values Geometry Physics

Subject Areas

Spectral Theory in Mathematical Physics ·Mathematical Physics ·Physical Sciences
Differential Equations and Boundary Problems ·Applied Mathematics ·Physical Sciences
Advanced Mathematical Modeling in Engineering ·Computational Theory and Mathematics ·Physical Sciences

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