@Article{JNMA-4-3,
author = {Li, Huijuan and Gaofeng, Du and Yue, Cunyan},
title = {On Two-Point Boundary Value Problems for Second-Order Difference Equation},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2022},
volume = {4},
number = {3},
pages = {605--614},
abstract = {<p style="text-align: justify;">In this paper, we aim to investigate the difference equation $$∆^2
y(t − 1) + |y(t)| = 0, t ∈ [1, T]_{\mathbb{Z}}$$ with different boundary conditions $y(0) = 0$ or $∆y(0) = 0$ and $y(T + 1) = B$ or $∆y(T) = B,$ where $T ≥ 1$ is an integer and $B ∈\mathbb{R}.$ We will show that how the
values of $T$ and $B$ influence the existence and uniqueness of the solutions to the
about problem. In details, for the different problems, the $TB$-plane explicitly
divided into different parts according to the number of solutions to the above
problems. These parts of $TB$-plane for the value of $T$ and $B$ guarantee the
uniqueness, the existence and the nonexistence of solutions respectively.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2022.605},
url = {https://global-sci.com/article/87941/on-two-point-boundary-value-problems-for-second-order-difference-equation}
}