@Article{CMR-34-221,
author = {Lu , Yanqiong and Ma , Ruyun},
title = {Discrete Arzelà-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}
}
TY - JOUR
T1 - Discrete Arzelà-Ascoli Theorem on the Half Line and Its Application
AU - Lu , Yanqiong
AU - Ma , Ruyun
JO - Communications in Mathematical Research
VL - 3
SP - 221
EP - 229
PY - 2019
DA - 2019/12
SN - 34
DO - http://doi.org/10.13447/j.1674-5647.2018.03.04
UR - https://global-sci.org/intro/article_detail/cmr/13483.html
KW - discrete Arzelà-Ascoli theorem, half line, positive solution, difference
equation, fixed point
AB -
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.
Lu , Yanqiong and Ma , Ruyun. (2019). Discrete Arzelà-Ascoli Theorem on the Half Line and Its Application.
Communications in Mathematical Research . 34 (3).
221-229.
doi:10.13447/j.1674-5647.2018.03.04
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