Lakshmikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations[M]. Singapore:World Scientific,1989:1-265.
[2]
Lin X N, Jiang D Q. Multiple positive solutions of Dirichlet boundary value problems for second order impulsive differential equations[J]. Math Anal Appl,2006,321:501-514.
Lee E K, Lee Y H. Multiple positive solutions of singular two point boundary value problems for second order impulsive differential equations[J]. Appl Math Comput,2004,158:745-759.
Li Z, Jiang D Q, Donal O R. Existence theroy for multiple solutions tosemipositone Dirichlet boundary value problems with singular dependent nonlinearities for second-order impulsive differential equations[J]. Appl Math Comput,2008,195:240-255.
[9]
郭大钧. 非线性泛函分析[M]. 济南:山东科学技术出版社,1985:235-244.
[10]
郭大钧,孙经先. 抽象空间常微分方程[M]. 济南:山东科学技术出版社,1989:3-5.
[11]
Heinz H P. On the behaviour of measure of noncompactness with respect to differentiation and integration of rector-value functions[J]. Nonlinear Anal,1983,7:1351-1371.
Liu X Y, Li Y X. Positive solutions for Neumann boundary value problems of second-order impulsive differential equations in Banach spaces[J]. Abstract Appl Anal,2012,Article ID401923.
[16]
Lee Y H, Liu X. Study of singular boundary value problems for second order impulsive differential equations[J]. J Math Anal Appl,2007,31(1):159-176.