脉冲微分方程非局部奇异边值问题  

Nonlocal Singular Boundary Value Problems for Impulsive Differential Equations

作　　者：苗春梅[1,2] 葛渭高[3] 

机构地区：[1]长春大学理学院,长春130022 [2]吉林大学数学学院,长春130012 [3]北京理工大学数学学院,北京100081

出　　处：《吉林大学学报（理学版）》2013年第3期349-356,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11001032;11071014)

摘　　要：先运用Lery-Schauder度的同伦不变性得到正则问题解的存在性原则,再运用该存在性原则和逼近的思想,研究带有积分边界条件的脉冲微分方程奇异边值问题,得到了该类问题正解的存在性.The authors studied the impulsive differential equation singular boundary value problem with integral boundary condition.First,the Lery-Schauder degree homotopy invariance was used to prove the existence of solutions principle for regular problems,then the existence of positive solutions was proved by means of this existence of solutions principle and the idea of approximation.

关 键 词：脉冲微分方程 奇异边值问题 正解 Lery-Schauder度 

分 类 号：O175.8[理学—数学]