Nagumo type existence results of Sturm-Liouville BVP for impulsive differential equations

被引：4

作者：

Liang, Ruixi ^{[1
]}

Liu, Zaiming ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 17期

基金：

中国国家自然科学基金;

关键词：

Impulse; Upper and lower solutions; Boundary value problem; Nagumo condition; BOUNDARY-VALUE-PROBLEMS; POSITIVE SOLUTIONS; INTEGRODIFFERENTIAL EQUATIONS; PULSE VACCINATION; CONTROLLABILITY; DYNAMICS; MODEL;

D O I：

10.1016/j.na.2011.06.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the method of upper and lower solutions and the Schauder degree theory are employed in the study of Sturm-Liouville boundary value problems for second order impulsive differential equations. We obtain the existence of at least three solutions to the problem under the assumption that the nonlinear term f satisfies a Nagumo condition with respect to the first order derivative. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：6676 / 6685

页数：10

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