Title of article :
The Eigenvalues and Eigenvectors of a Dissipative Second Order Difference Operator with a Spectral Parameter in the Boundary Conditions
Author/Authors :
Eryilmaz, Aytekin Nevsehir University - Department of Mathematics, Türkiye , Allahverdiev, Bilender P. Süleyman Demirel University - Department of Mathematics, Türkiye
Abstract :
This paper is devoted to study of a nonselfadjoint di¤erence operator in the Hilbert space l2 w (N) generated by an in nite Jacobi matrix with a spectral parameter in the boundary condition. We determine eigenvalues and eigenvectors of operator generated by boundary value problem
Keywords :
Second order di¤erence equation , In nite Jacobi matrix , Dissipative operator , The system of eigenvectors and associated vectors , 2000 Mathematics Subject Classi cation: 47B36 , 47B39 , 47B44
Journal title :
Selcuk Journal of Applied Mathematics
Journal title :
Selcuk Journal of Applied Mathematics
