Some new nonlinear Volterra-Fredholm-type discrete inequalities and their applications

被引：17

作者：

Ma, Qing-Hua ^{[1
]}

机构：

[1] Guangdong Univ Foreign Studies, Fac Informat Sci & Technol, Guangzhou 510420, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 216卷 / 02期

关键词：

nonlinear discrete inequalities; Volterra-Fredholm-type; Gronwall-Bellman-Ou-Iang-type; explicit bounds; sum-difference equations;

D O I：

10.1016/j.cam.2007.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some new explicit bounds on solutions to a class of new nonlinear Volterra-Fredholm-type discrete inequalities are established, which can be used as effective tools in the study of certain sum-difference equations. Application examples are also indicated. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：451 / 466

页数：16

共 25 条

[1] [Anonymous], 1919, ANN MATH
[2] Bainov D., 1992, Integral Inequalities and Applications. Mathematics and Its Applications
[3] Bellman R., 1943, DUKE MATH J, V10, P643, DOI 10.1215/S0012-7094-43-01059-2
[4] Cheung W. S., 2004, J CONCR APPL MATH, V2, P119
[5] Discrete non-linear inequalities and applications to boundary value problems
Cheung, Wing-Sum
Ren, Jingli
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 319 (02) : 708 - 724
[6] Some discrete nonlinear inequalities and applications to boundary value problems for difference equations
Cheung, WS
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2004, 10 (02) : 213 - 223
[7] Some new nonlinear inequalities and applications to boundary value problems
Cheung, WS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (09) : 2112 - 2128
[8] CHEUNG WS, 2005, J IEQUALI APPL, V8, P347
[9] GLOBAL REGULAR SOLUTIONS FOR THE DYNAMIC ANTIPLANE SHEAR PROBLEM IN NONLINEAR VISCOELASTICITY
ENGLER, H
[J]. MATHEMATISCHE ZEITSCHRIFT, 1989, 202 (02) : 251 - 259
[10] HARAUX A, 1981, LECT NOTE MATH, V847

← 1 2 3 →