On The Solution of an Infinite System of Discrete Equations

Authors : Anar ADİLOĞLU, Mehmet GÜRDAL

Pages : 157-160

Doi:10.47000/tjmcs.822830

View : 18 | Download : 5

Publication Date : 2020-12-31

Article Type : Research Paper

Abstract : In this work, we construct the transformation operator for the infinite system of the difference equations  $a_{n-2}y_{n-2}+b_{n-1}y_{n-1}+c_{n}y_{n}+b_{n}y_{n+1}+a_{n}y_{n+2}=\lambda y_{n}$ $insert ignore into journalissuearticles values(n=1,2,...);$, where $a_{n}\neq0,$ $b_{n},$ $c_{n}$ $insert ignore into journalissuearticles values(n=1,2,3,...);$ are given complex numbers, investigate some important properties of the special solutions of the difference system.
Keywords : Difference equation, Jacobi matrix, Transformation operators, Direct problem, Inverse problem