Existence of Solutions of Multi-Point BVPs for Impulsive Functional Differential Equations with Nonlinear Boundary Conditions

被引：0

作者：

Liu, Yuji ^{[1
]}

机构：

[1] Guangdong Univ Business Studies, Dept Math, Guangzhou, Guangdong, Peoples R China

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2012年 / 5卷 / 02期

关键词：

Nonlinear multi-point boundary value problem; first order impulsive functional differential equation; fixed-point theorem; growth condition; PERIODIC-SOLUTIONS; MONOTONE METHOD; 1ST-ORDER;

D O I：

10.22436/jnsa.005.02.07

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Two classes of multi-point BVPs for first order impulsive functional differential equations with nonlinear boundary conditions are studied. Sufficient conditions for the existence of at least one solution to these BVPs are established, respectively. Our results generalize and improve the known ones. Some examples are presented to illustrate the main results.(C)2012 NGA. All rights reserved.

引用

页码：133 / 150

页数：18

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