Agarwal R P, O’Regan D. Multiple nonnegative solutions for second order impulsive differential equations[J]. Appl Math Comput,2000,114(1):51-59.
[2]
Ding W, Han M, Mi J. Periodic boundary value problem for the second-order impulsive functional differential equations[J]. Compu Math Appl,2005,50(3/4):491-507.
[3]
Lakshmikantham V, Bainov D D, Simeonov P S. Theory of Impulsive Differential Equations[M]. Singapore:World Scientific,1989.
[4]
Liu X. Advances in impulsive differential equations[J]. Dynamics of Continuous,Discrete Impulsive System:Mathematical Analysis,2002,A9(3):313-462.
[5]
Liu Y. Further results on periodic boundary value problems for nonlinear first order impulsive functional differential equations[J]. J Math Anal Appl,2007,327(1):435-452.
[6]
Rogovchenko Y V. Impulsive evolution systems:main results and new trends[J]. Dynamics of Continuous,Discrete Impulsive System:Mathematical Analysis,1997,A3(1):57-88.
[7]
Samoilenko A M, Perestyuk N A. Impulsive Differential Equations[M]. Singapore:World Scientific,1995.
[8]
Zavalishchin S T, Sesekin A N. Dynamic Impulse Systems,Theory and Applications[M]. Dordrecht:Kluwer Academic Publishers Group,1997.
[9]
Zhang W, Fan M. Periodicity in a generalized ecological competition system governed by impulsive differential equations with delays[J]. Math Comput Model,2004,39(4/5):479-493.
He Z, Zhang X. Monotone iterative technique for first order impulsive difference equations with periodic boundary conditions[J]. Appl Math Comput,2004,156(3):605-620.
[16]
Nieto J J, Rodriguez-Lopez R. Periodic boundary value problem for non-Lipschitzian impulsive functional differential equations[J]. J Math Anal Appl,2006,318(2):593-610.
[17]
Rachunkov I, Tvrd M. Non-ordered lower and upper functions in second order impulsive periodic problems[J]. Dynamics of Continuous,Discrete Impulsive System:Mathematical Analysis,2005,A12(3/4):397-415.
[18]
Chen J, Tisdell C C, Yuan R. On the solvability of periodic boundary value problems with impulse[J]. J Math Anal Appl,2007,331(2):902-912.
[19]
Dong Y. Sublinear impulse effects and solvability of boundary value problems for differential equations with impulses[J]. J Math Anal Appl,2001,264(1): 32-48.
[20]
Qian D, Li X. Periodic solutions for ordinary differential equations with sublinear impulsive effects[J]. J Math Anal Appl,2005,303(1):288-303.
[21]
Li J, Nieto J J, Shen J. Impulsive periodic boundary value problems of first-order differential equations[J]. J Math Anal Appl,2007,325(1):226-236.
[22]
Nieto J J. Periodic boundary value problems for first-order impulsive ordinary differential equations[J]. Nonlinear Anal:TMA,2002,51(7):1223-1232.