A finite-sum representation for solutions for the Jacobi operator
Mathematical Physics
2011-11-18 v1 math.MP
Spectral Theory
Abstract
We obtain a finite-sum representation for the general solution of the Jacobi second-order difference equation D(p(n-1)Du(n-1))+q(n)u(n)=l r(n)u(n) in terms of a nonvanishing solution corresponding to some fixed value of the spectral parameter l=l_0. Applications of this representation to some results on the boundedness of solutions are given as well as illustrating examples.
Cite
@article{arxiv.0907.0664,
title = {A finite-sum representation for solutions for the Jacobi operator},
author = {Hugo M. Campos and Vladislav V. Kravchenko},
journal= {arXiv preprint arXiv:0907.0664},
year = {2011}
}
Comments
To be published in Journal of Difference Equations and Applications