一阶脉冲泛函微分方程反周期边值问题  

Anti-periodic Boundary Value Problems of First-order Impulsive Functional Differential Equations

作　　者：姚美萍[1] 赵爱民[1] 

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《山西大学学报（自然科学版）》2009年第2期151-153,共3页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(10771128);山西省自然科学基金(2007011001);山西大学青年科技基金(2007102)

摘　　要：考虑一阶脉冲泛函微分方程反周期边值问题,利用上下解方法和单调迭代技术得到了耦合解和唯一解存在的充分条件,所得结果改进了[Appl.Math.Comput.2007,186,45-53]的相关结果.Anti-periodic boundary value problems of first-order impulsive functional differential equations are considered. Existence of couple solutions and unique solution is obtained by using the method of upper and lower solutions coupled with monotone iterative technique. The results improve the corresponding re- ults of the literature[Appl. Math. Comput. 2007, 186,45-53].

关 键 词：脉冲泛函微分方程 反周期边值问题 耦合解 单调迭代技术 

分 类 号：O175[理学—数学]