Anti-periodic boundary value problem for second-order impulsive integro-differential equation with delay
ZHANG Linli1,2， LIU Anping3， XIAO Li3
1.Institute of Tropical Agriculture and Forestry， Hainan University， Danzhou， Hainan 571737， China；2.Education Department of Natural Science， Haikou University of Economics， Haikou 571127， China；3.School of Mathematics and Physics， China University of Geosciences， Wuhan 430074， China
Abstract：The properties of solution of anti-periodic boundary value problem for second-order impulsive integro-differential equation with delay are discussed. Using the iterative analysis method， the existence and uniqueness of anti-periodic solution and the sufficient condition for uniform stability of trivial solution are obtained. The results show the influence of impulse and delay on the properties of the solution and extend the previous results on integro-differential equation in anti-periodic boundary value problem.
2018, Vol. 52 
