Some generalized nonlinear retarded integral inequalities with applications

被引：18

作者：

Wang, Wu-Sheng ^{[1
]}

机构：

[1] Hechi Univ, Dept Math, Guangxi 546300, Yizhou, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2012年

基金：

中国国家自然科学基金;

关键词：

integral inequality; integral inequality technique; boundary value problem; boundedness; uniqueness; GRONWALL-LIKE INEQUALITY; ASYMPTOTIC-BEHAVIOR; BIHARI-TYPE;

D O I：

10.1186/1029-242X-2012-31

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we discuss some new generalized nonlinear Gronwall-Bellman-Type integral inequalities with two variables, which include a non-constant term outside the integrals. We use our result to deal with the estimate on the solutions of partial differential equations with the initial and boundary conditions. Mathematics Subject Classification 2000: 26D10; 26D15; 26D20; 34A40.

引用

页码：1 / 14

页数：14

共 23 条

[1] New retarded integral inequalities with applications [J].

Agarwal, Ravi P. ;

Kim, Young-Ho ;

Sen, S. K. .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)

[2]

[Anonymous], UKRAINIAN MATH J

[3]

[Anonymous], J APPL MATH COMPUT

[4]

[Anonymous], 2004, J INEQUAL PURE APPL

[5]

Bainov Drumi, 1992, East European Series)

[6]

Bellman R., 1943, Duke Math. J, V10, P643, DOI [DOI 10.1215/S0012-7094-43-01059-2, 10.1215/S0012-7094-43-01059-2]

[7]

Bihari I., 1956, Acta_Mathematica_Academiae_Scientiarum_Hungarica, V7, P81, DOI DOI 10.1007/BF02022967

[8] Gronwall-Bellman-Type Integral Inequalities and Applications to BVPs [J].

Chen, Chur-Jen ;

Cheung, Wing-Sum ;

Zhao, Dandan .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,

[9] Some new nonlinear inequalities and applications to boundary value problems [J].

Cheung, WS .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (09) :2112-2128

[10]

Choi SK, 2005, MATH INEQUAL APPL, V8, P643

← 1 2 3 →