Positive solutions of a nonlinear impulsive equation with periodic boundary conditions

被引：8

作者：

Huseynov, Aydin ^{[1
]}

机构：

[1] Azerbaijan Natl Acad Sci, Inst Math & Mech, Baku, Azerbaijan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 01期

关键词：

Impulsive differential equations; Green's function; Positive solution; Fixed point theorems; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.amc.2010.05.055

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate nonlinear second order differential equations subject to linear impulse conditions and periodic boundary conditions. Sign properties of an associated Green's function are exploited to get existence results for positive solutions of the nonlinear boundary value problem with impulse. Upper and lower bounds for positive solutions are also given. The results obtained yield periodic positive solutions of the corresponding periodic impulsive nonlinear differential equation on the whole real axis. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：247 / 259

页数：13

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