Nonlinear Retarded Integral Inequalities with Two Variables and Applications

被引：10

作者：

Wang, Wu-Sheng ^{[1
,2
]}

Li, Zizun ^{[1
]}

Li, Yong ^{[3
]}

Huang, Yong ^{[3
]}

机构：

[1] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China

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

[3] Baise Coll, Dept Math & Comp Informat Engn, Guangxi Baise 533000, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2010年

关键词：

GRONWALL-LIKE INEQUALITY; BELLMAN;

D O I：

10.1155/2010/240790

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider some new nonlinear retarded integral inequalities with two variables, which extend the results in the work of W.-S. Wang (2007), and the one in the work of Y.-H. kim (2009). These inequalities include not only a nonconstant term outside the integrals but also more than one distinct nonlinear integrals without assumption of monotonicity. Finally, we give some applications to the boundary value problem of a partial differential equation for boundedness and uniqueness.

引用

页数：21

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