Some discrete nonlinear inequalities and applications to boundary value problems for difference equations

被引：28

作者：

Cheung, WS ^{[1
]}

机构：

[1] Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2004年 / 10卷 / 02期

关键词：

discrete Gronwall-Bellman-Ou-Iang type inequalities; boundary value problems; lattices; difference equations;

D O I：

10.1080/10236190310001604238

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some new discrete Gronwall-Bellman-Ou-Iang type inequalities over 2-dimensional lattices. These, on one hand, generalize some existing results in the literature and on the other hand, provide a handy tool for the study of qualitative properties of solutions of difference equations. We illustrate this by applying these new results to certain boundary value problem for difference equations.

引用

页码：213 / 223

页数：11

共 50 条

[21] Boundary value problems for discrete equations
Agarwal, RP
ORegan, D
APPLIED MATHEMATICS LETTERS, 1997, 10 (04) : 83 - 89
[22] ON THE SOLVABILITY OF MULTIPOINT BOUNDARY VALUE PROBLEMS FOR SYSTEMS OF NONLINEAR DIFFERENCE EQUATIONS
Ashordia, Malkhaz
Ekhvaia, Goderdzi
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2015, 65 : 151 - 158
[23] On Boundary Value Problems for Second Order Nonlinear Functional Difference Equations
Deng, Xiaoqing
Shi, Haiping
ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (03) : 1277 - 1287
[24] On Boundary Value Problems for Second Order Nonlinear Functional Difference Equations
Xiaoqing Deng
Haiping Shi
Acta Applicandae Mathematicae, 2010, 110 : 1277 - 1287
[25] Reverse Functional Inequalities and Their Applications to Nonlinear Elliptic Boundary Value Problems
V. S. Klimov
A. N. Pavlenko
Siberian Mathematical Journal, 2001, 42 : 656 - 667
[26] On nonlocal boundary value problems of nonlinear q-difference equations
Bashir Ahmad
Juan J Nieto
Advances in Difference Equations, 2012
[27] Boundary value problems of second order nonlinear functional difference equations
Shi, Haiping
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2010, 16 (09) : 1121 - 1130
[28] BOUNDARY VALUE PROBLEMS FOR SOME CLASSES OF NONLINEAR WAVE EQUATIONS
Kharibegashvili, S.
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2009, 46 : 1 - 114
[29] On nonlocal boundary value problems of nonlinear q-difference equations
Ahmad, Bashir
Nieto, Juan J.
ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 10
[30] Boundary value problems for some fully nonlinear elliptic equations
Chen, Szu-yu Sophie
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2007, 30 (01) : 1 - 15

← 1 2 3 4 5 →