Existence of a priori bounded solutions for discrete two-point boundary value problems

被引：7

作者：

Amoroso, Eleonora ^{[1
]}

Candito, Pasquale ^{[2
]}

Mawhin, Jean ^{[3
]}

机构：

[1] Univ Messina, Dept Engn, I-98166 Messina, Italy

[2] Univ Reggio Calabria, Dept DICEAM, I-89122 Reggio Di Calabria, Italy

[3] Catholic Univ Louvain, Res Inst Math & Phys, B-1348 Louvain La Neuve, Belgium

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 519卷 / 02期

关键词：

Difference methods; A priori bounds; Variational methods; Nonlinear two point boundary value problems; NONLINEAR DIFFERENCE-EQUATIONS; NONSPURIOUS SOLUTIONS;

D O I：

10.1016/j.jmaa.2022.126807

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a careful analysis on the existence of a priori bounded solutions for difference equations is provided. In particular, we study a second order nonlinear difference boundary value problem and its relationship with the continuous one and we obtain a version of these existence results with a priori bounds of the solution u and its derivative u ', u '' and we give an analytic expression of the solution u as the limit of a suitable sequence of functions. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：18

共 25 条

[1]

AGARWAL R.P., 2000, Difference Equations and Inequalities, Theory, Methods and Applications, DOI DOI 10.1201/9781420027020

[2]

Agarwal RP, 2004, NONLINEAR ANAL-THEOR, V58, P69, DOI 10.1016/j.na.2004.11.012

[3] ON MULTIPOINT BOUNDARY-VALUE-PROBLEMS FOR DISCRETE EQUATIONS [J].