| Banach空间非线性二阶脉冲奇异积分-微分方程积分边值问题的正解 |
| |
| 引用本文： | 张兴秋.Banach空间非线性二阶脉冲奇异积分-微分方程积分边值问题的正解[J].数学研究及应用,2012,32(5):599-614. |
| |
| 作者姓名： | 张兴秋 |
| |
| 作者单位： | 聊城大学数学科学院, 山东 聊城 252059 |
| |
| 基金项目： | 山东省优秀中青年科学家奖励基金(Grant No.BS2010SF004),山东省高等学校科技计划(Grant No.J10LA53),中国博士后科学基金(Grant No.20110491154),国家自然科学基金(Grant No.10971179). |
| |
| 摘 要： | The existence of positive solutions to a boundary value problem of second-order impulsive singular integro-differential equation with integral boundary conditions in a Banach space is obtained by means of fixed point theory.Moreover,an application is also given to illustrate the main result.
|
| 关 键 词： | impulsive singular integro-differential equation positive solution M¨onch fixed point theorem measure of noncompactness. |
| 收稿时间： | 2010/12/28 0:00:00 |
| 修稿时间： | 2011/4/18 0:00:00 |
Positive Solutions for a Second-Order Nonlinear Impulsive Singular Integro-Differential Equation with Integral Conditions in Banach Spaces |
| |
| Xingqiu ZHANG.Positive Solutions for a Second-Order Nonlinear Impulsive Singular Integro-Differential Equation with Integral Conditions in Banach Spaces[J].Journal of Mathematical Research with Applications,2012,32(5):599-614. |
| |
| Authors: | Xingqiu ZHANG |
| |
| Institution: | School of Mathematics, Liaocheng University, Shandong 252059, P. R. China |
| |
| Abstract: | The existence of positive solutions to a boundary value problem of second-order impulsive singular integro-differential equation with integral boundary conditions in a Banach space is obtained by means of fixed point theory. Moreover, an application is also given to illustrate the main result. |
| |
| Keywords: | impulsive singular integro-differential equation positive solution M\"onch fixed point theorem measure of noncompactness |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
