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一个脉冲泛函边值问题的比较定理
A Comparison Theorem of Impulsive Functional Boundary Value Problems
【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。
【Abstract】 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),ut),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;
【Key words】 impulse; functional boundary value problems; comparison theorem;
【Key words】 impulse; functional boundary value problems; comparison theorem;
【基金】 山东省教育厅科技计划基金资助项目(J07WZ20)
- 【文献出处】 洛阳理工学院学报(自然科学版) ,Journal of Luoyang Institute of Science and Technology(Natural Science Edition) , 编辑部邮箱 ,2010年01期
- 【分类号】O175.8
- 【下载频次】33