具有脉冲的二阶三点边值问题存在性定理 Existence theorems for a second order three-point boundary value problem with impulses期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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具有脉冲的二阶三点边值问题存在性定理

引用本文：

SunYing ZhuDeming. 具有脉冲的二阶三点边值问题存在性定理[J]. 高校应用数学学报(英文版), 2005, 20(2): 165-174. DOI: 10.1007/s11766-005-0049-x

作者姓名：

SunYing ZhuDeming

作者单位：

Dept.ofMath.,EastChinaNormalUniv.,Shanghai200062,China

基金项目：

theNatioualNaturalScienaFoundationofChina(10371040).

摘要：

In this paper, two existence theorems are given concerning the following 3-point boundary value problem of second order differential systems with impulses

关键词：

存在性定理二阶三点边值问题冲量微分方程唯一性

Existence theorems for a second order three-point boundary value problem with impulses

Sun Ying,Zhu Deming. Existence theorems for a second order three-point boundary value problem with impulses[J]. Applied Mathematics A Journal of Chinese Universities, 2005, 20(2): 165-174. DOI: 10.1007/s11766-005-0049-x

Authors:

Sun Ying Zhu Deming

Affiliation:

Dept.of Math.,East China Normal Univ.,Shanghai 200062,China;Dept.of Math.,East China Normal Univ.,Shanghai 200062,China

Abstract:

In this paper, two existence theorems are given concerning the following 3-point boundary value problem of second order differential systems with impulses

$left{ begin{gathered} x'left( t right) = fleft( {t,xleft( t right),x'left( t right)} right), t in left( {0,1} right),t ne t_k ,k = 1,2,. . . ,m, hfill Delta xleft| {_{t = t_k } } right. = I_k left( {xleft( {t_k } right)} right), k = 1,2,. . . ,m, hfill Delta x'left| {_{t = t_k } } right. = J_k left( {xleft( {t_k } right),x'left( {t_k } right)} right), k = 1,2,. . . ,m, hfill xleft( 0 right) = 0,xleft( 1 right) = alpha xleft( eta right) hfill end{gathered} right.$

. Supported by the National Natural Sciena Foundation of China (10371040)

Keywords:

point boundary value problem impulse Leray-Schauder theorem.

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