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A class of second-order $n$-dimensional impulsive differential systems with integral boundary value conditions
JIAO Li-Shuai,ZHANG Xue-Mei *, GUO Xin
Department of Mathematics and Physics, North China Electric Power University, Beijing 102206
*Correspondence author
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Funding: Supported by the National Natural Science Foundation of China （No.11301178）
Opened online:26 September 2018
Accepted by: none
Citation: JIAO Li-Shuai,ZHANG Xue-Mei, GUO Xin.A class of second-order $n$-dimensional impulsive differential systems with integral boundary value conditions[OL]. [26 September 2018] http://en.paper.edu.cn/en_releasepaper/content/4746060
 
 
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
 
 
 

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