@Article{CMR-34-221, author = {Lu , Yanqiong and Ma , Ruyun}, title = {Discrete ArzelĂ -Ascoli Theorem on the Half Line and Its Application}, journal = {Communications in Mathematical Research }, year = {2019}, volume = {34}, number = {3}, pages = {221--229}, abstract = {

The compactness criterion in $ l_{\diamond}=\left\{x(\,\cdot\,)\in l^{\infty}(0,\infty))\mid\lim\limits_{t\rightarrow\infty}x(t)=x(\infty)\right\} $ is given and as an application, we study the existence of positive solutions of second order boundary value problems of difference equation on the half line by the fixed-point theorem in cones.

}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2018.03.04}, url = {http://global-sci.org/intro/article_detail/cmr/13483.html} }