Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations

被引：0

作者：

Kexue Zhang

Xinzhi Liu

机构：

[1] Shandong University,School of Control Science and Engineering

[2] University of Waterloo,Department of Applied Mathematics

来源：

Journal of Inequalities and Applications | / 2010卷

关键词：

Nonlinear Boundary; Lower Solution; Extremal Solution; Impulsive Differential Equation; Nonlinear Boundary Value Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper investigates the nonlinear boundary value problem for a class of first-order impulsive functional differential equations. By establishing a comparison result and utilizing the method of upper and lower solutions, some criteria on the existence of extremal solutions as well as the unique solution are obtained. Examples are discussed to illustrate the validity of the obtained results.

引用

共 50 条

[1] Nonlinear Boundary Value Problem of First-Order Impulsive Functional Differential Equations
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[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
[2] Periodic boundary value problem for first-order impulsive functional differential equations
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[9] Periodic boundary value problem for first-order impulsive ordinary differential equations
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[10] First-order impulsive functional differential equations with periodic boundary value conditions
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