Turkish Journal of Mathematics and Computer Science

Yazarlar: Anar ADİLOĞLU, Mehmet GÜRDAL

Konular:Matematik

DOI:10.47000/tjmcs.822830

Anahtar Kelimeler:Difference equation,Jacobi matrix,Transformation operators,Direct problem,Inverse problem

Özet:  In this work, we construct the transformation operator for the infinite system of the difference equations  $a_{n-2}y_{n-2}+b_{n-1}y_{n-1}+c_{n}y_{n}+b_{n}y_{n+1}+a_{n}y_{n+2}=\lambda y_{n}$ $(n=1,2,...)$, where $a_{n}\neq0,$ $b_{n},$ $c_{n}$ $(n=1,2,3,...)$ are given complex numbers, investigate some important properties of the special solutions of the difference system.

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