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BOUNDARY-VALUE PROBLEMS FOR SECOND ORDER DIFFERENCE EQUATIONS WITH A SPECTRAL PARAMETER IN THE BOUNDARY CONDITIONS

Aytekin Eryılmaz, Bilender P. Allahverdiev

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Abstract

This paper is concern with the boundary-value problem in the Hilbert space ) ( 2 N w l generated by an infinite Jacobi matrix with a spectral parameter in the boundary condition. We proved theorems on the completeness of the system of eigenvalues and eigenvectors of operator generated by boundary value problem.

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What this paper is about

This paper is concern with the boundary-value problem in the Hilbert space ) ( 2 N w l generated by an infinite Jacobi matrix with a spectral parameter in the boundary condition. We proved theorems on the completeness of the system of eigenvalues and eigenvectors of operator generated by boundary value problem.

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Available abstract

This paper is concern with the boundary-value problem in the Hilbert space ) ( 2 N w l generated by an infinite Jacobi matrix with a spectral parameter in the boundary condition. We proved theorems on the completeness of the system of eigenvalues and eigenvectors of operator generated by boundary value problem.

Key concepts: Boundary value problem, Mathematics, Eigenvalues and eigenvectors, Hilbert space, Completeness (order theory), Mathematical analysis, Free boundary problem, Mixed boundary condition

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