一个脉冲泛函边值问题的比较定理  

A Comparison Theorem of Impulsive Functional Boundary Value Problems

作　　者：孙肖丽[1] 

机构地区：[1]枣庄学院数学系,山东枣庄277160

出　　处：《洛阳理工学院学报（自然科学版）》2010年第1期65-70,共6页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

基　　金：山东省教育厅科技计划基金资助项目(J07WZ20)

摘　　要：单调迭代技巧是解决周期边值问题和泛函边值问题的一类重要方法,其解决的关键在于建立相应的比较定理。建立了右端项为f(t,u(t),ut)的一类非共振脉冲泛函微分方程边值问题相应的比较定理,从而为解决相应边值问题解的存在性奠定基础。Monotone iterative technique is a kind of important approach to periodic boundary value problem and functional value problem, whose key solution lies in the establishment of corresponding comparison theorem. Thus a corresponding comparison theorem of the boundary value problems is established in this paper for a class of impulsive non-resonant functional differential equations whose right end is f（t,u（t）,u,）, which sets up the foundation to explore the existence of the solution to boundary value problems.

关 键 词：脉冲 泛函边值问题 比较定理 

分 类 号：O175.8[理学—数学] O175.15[理学—基础数学]