脉冲微分方程非局部奇异边值问题

Nonlocal Singular Boundary Value Problems for Impulsive Differential Equations

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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.

作者苗春梅葛渭高

机构地区长春大学理学院吉林大学数学学院北京理工大学数学学院

出处《吉林大学学报（理学版）》 CAS CSCD 北大核心 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)

关键词脉冲微分方程奇异边值问题正解 Lery-Schauder度 impulsive differential equation singular boundary value problem positive solution Lery-Schauder degree

分类号 O175.8 [理学—基础数学]

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脉冲微分方程非局部奇异边值问题

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