Year: 2018
Author: Yanqiong Lu, Ruyun Ma
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.13447/j.1674-5647.2018.03.04
Communications in Mathematical Research , Vol. 34 (2018), Iss. 3 : pp. 221–229
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: discrete Arzelà-Ascoli theorem half line positive solution difference equation fixed point