New Retarded Integral Inequalities with Applications

被引：0

作者：

Ravi P. Agarwal

Young-Ho Kim

S. K. Sen

机构：

[1] Florida Institute of Technology,Department of Mathematical Sciences

[2] College of Natural Sciences Changwon National University Changwon,Department of Applied Mathematics

来源：

Journal of Inequalities and Applications | / 2008卷

关键词：

Differential Equation; Integral Equation; Functional Differential Equation; Full Article; Basic Tool;

D O I：

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中图分类号：

学科分类号：

摘要：

Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan (2003) and Pachpatte (2004). These inequalities can be used as basic tools in the study of certain classes of functional differential equations as well as integral equations. A existence and a uniqueness on the solution of the functional differential equation involving several retarded arguments with the initial condition are also indicated.

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