A class of second-order $n$-dimensional impulsive differential systems with integral boundary value conditions
首发时间:2018-09-26
Abstract:To investigated the existence of positive solutions for second-order $n$-dimensional impulsive differential systems with integral boundary conditions. Firstly, the expression and properties of Green's function for the boundary value problem of second-order $n$-dimensional impulsive differential systems were investigated. Furthermore, we gave some new sufficient conditions for second-order $n$-dimensional impulsive differential systems with integral boundary conditions admits at least one solution and two solutions, by using a vector version of Krasnosel'ski\u{\i}'s fixed point theorem in cones and H\"{o}lder's inequality.
keywords: Impulsive differential systems Integral boundary conditions Existence of positive solutions A vector version of Krasnosel'ski\u{\i}'s fixed point theorem
点击查看论文中文信息
一类具有积分边界条件的二阶$n$维脉冲微分系统
摘要:为了研究具有积分边界条件的二阶$n$维脉冲微分系统边值问题正解的存在性,首先给出了二阶$n$维脉冲微分系统边值问题的格林函数表达式并研究了格林函数的性质。进而,利用矢量形式的Krasnosel'ski\u{\i}锥上不动点定理和H\"{o}lder不等式,给出了带积分边界条件的二阶$n$维脉冲微分系统边值问题至少存在一个正解和两个正解的一些新的充分条件。
引用
No.****
动态公开评议
共计0人参与
勘误表
一类具有积分边界条件的二阶$n$维脉冲微分系统
评论
全部评论0/1000