@Article{JNMA-4-658,
author = {Lu , Yanqiong and Wang , Rui},
title = {Positive Solutions of Second-Order Difference Equation with Variable Coefficient on the Infinite Interval},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {4},
number = {4},
pages = {658--676},
abstract = {<p style="text-align: justify;">In this paper, based on the one-signed Green’s function and the
compact results on the infinite interval, we obtain the existence and multiplicity of positive solutions for the boundary value problems $$\begin{cases} \Delta^2 x(n-1)-p(n)\Delta x(n-1)-q(n)x(n-1)+f(n,x(n))=0, &amp;n\in\mathbb{N},\\&nbsp; \alpha x(0)-\beta \Delta x(0)=0, &amp; \lim\limits_{n\rightarrow\infty}x(n)=0&nbsp; \end{cases}$$by the fixed point theorem in cones. The main results extend some results in
the previous literature.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.658},
url = {http://global-sci.org/intro/article_detail/jnma/21904.html}
}