一类二阶奇异脉冲微分方程解的存在性

J4 ›› 2013, Vol. 48 ›› Issue (6): 91-95.

一类二阶奇异脉冲微分方程解的存在性

孙艳梅1,赵增勤2

1.潍坊学院数学与信息科学学院，山东潍坊 261061;
2.曲阜师范大学数学科学学院，山东曲阜 273165

收稿日期:2013-01-07 出版日期:2013-06-20 发布日期:2013-06-09
作者简介:孙艳梅 (1979- ), 女, 讲师, 硕士, 研究方向为非线性泛函分析及应用. Email:sunyanmei2009@126.com
基金资助:
国家自然科学基金资助项目(10871116); 山东自然科学基金资助项目(ZR2010AM005); 潍坊学院青年项目(2012Z14)

Existence of solutions for a class of second order singular impulsive differential equations

SUN Yan-mei1, ZHAO Zeng-qin2

1. Department of Mathematics and Information Sciences, Weifang University, Weifang 261061, Shandong, China;
2. Department of Mathematics, Qufu Normal University, Qufu 273165, Shandong, China

Received:2013-01-07 Online:2013-06-20 Published:2013-06-09

摘要/Abstract

摘要：

研究了一类二阶奇异脉冲微分方程边值问题解的存在性。在非线性项满足较弱的条件下, 利用上下解方法得到了边值问题解存在的条件。所得结果推广和包含了一些已知结果。

关键词: 边值问题; 脉冲微分方程; 上下解方法

Abstract:

The existence of solutions for a class of singular boundary value problems of second order impulsive differential equations are studied. When the nonlinear term satisfies weaker conditions, by using the method of upper and lower solutions the existence conditions of solutions for boundary value problems are obtained. The results generalize and involve some results to some degree.

Key words: boundary value problems; second order impulsive differential equations; the method of upper and lower solutions

孙艳梅1,赵增勤2. 一类二阶奇异脉冲微分方程解的存在性[J]. J4, 2013, 48(6): 91-95.

SUN Yan-mei1, ZHAO Zeng-qin2. Existence of solutions for a class of second order singular impulsive differential equations[J]. J4, 2013, 48(6): 91-95.

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