[1] Agarwal, R. P., O'Regan, D.: A multiplicity result for second order impulsive differential equations via the Leggett Williams fixed point theorem. Appl. Math. Comput. 161 (2005), 433-439. DOI 10.1016/j.amc.2003.12.096 | MR 2112416 | Zbl 1070.34042

[2] Bai, L., Dai, B.: An application of variational method to a class of Dirichlet boundary value problems with impulsive effects. J. Franklin Inst. 348 (2011), 2607-2624. DOI 10.1016/j.jfranklin.2011.08.003 | MR 2845341 | Zbl 1266.34044

[3] Bai, L., Dai, B.: Existence and multiplicity of solutions for an impulsive boundary value problem with a parameter via critical point theory. Math. Comput. Modelling 53 (2011), 1844-1855. DOI 10.1016/j.mcm.2011.01.006 | MR 2782888 | Zbl 1219.34039

[4] Brézis, H., Nirenberg, L.: Remarks on finding critical points. Commun. Pure Appl. Math. 44 (1991), 939-963. DOI 10.1002/cpa.3160440808 | MR 1127041

[5] Dai, B., Su, H., Hu, D.: Periodic solution of a delayed ratio-dependent predator-prey model with monotonic functional response and impulse. Nonlinear Anal., Theory Methods Appl. 70 (2009), 126-134. MR 2468223 | Zbl 1166.34043

[6] Guan, Z.-H., Chen, G., Ueta, T.: On impulsive control of a periodically forced chaotic pendulum system. IEEE Trans. Autom. Control 45 (2000), 1724-1727. DOI 10.1109/9.880633 | MR 1791705 | Zbl 0990.93105

[7] Han, X., Zhang, H.: Periodic and homoclinic solutions generated by impulses for asymptotically linear and sublinear Hamiltonian system. J. Comput. Appl. Math. 235 (2011), 1531-1541. DOI 10.1016/j.cam.2010.08.040 | MR 2728109 | Zbl 1211.34008

[8] Lakmeche, A., Arino, O.: Bifurcation of non trivial periodic solutions of impulsive differential equations arising chemotherapeutic treatment. Dyn. Contin. Discrete Impulsive Syst. 7 (2000), 265-287. MR 1744966 | Zbl 1011.34031

[9] Lakshmikantham, V., Baĭnov, D. D., Simeonov, P. S.: Theory of Impulsive Differential Equations. Series in Modern Applied Mathematics 6 World Scientific, Singapore (1989). MR 1082551

[10] Li, X., Wu, X., Wu, K.: On a class of damped vibration problems with super-quadratic potentials. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72 (2010), 135-142. DOI 10.1016/j.na.2009.06.044 | MR 2574925 | Zbl 1186.34056

[11] Mawhin, J., Willem, M.: Critical Point Theory and Hamiltonian Systems. Applied Mathematical Sciences 74 Springer, New York (1989). DOI 10.1007/978-1-4757-2061-7 | MR 0982267 | Zbl 0676.58017

[12] Nieto, J. J.: Periodic boundary value problems for first-order impulsive ordinary differential equations. Nonlinear Anal., Theory Methods Appl. 51 (2002), 1223-1232. DOI 10.1016/S0362-546X(01)00889-6 | MR 1926625 | Zbl 1015.34010

[13] Nieto, J. J.: Variational formulation of a damped Dirichlet impulsive problem. Appl. Math. Lett. 23 (2010), 940-942. DOI 10.1016/j.aml.2010.04.015 | MR 2651478 | Zbl 1197.34041

[14] Nieto, J. J., Rodríguez-López, R.: Hybrid metric dynamical systems with impulses. Nonlinear Anal., Theory Methods Appl. 64 (2006), 368-380. DOI 10.1016/j.na.2005.05.068 | MR 2188464 | Zbl 1094.34007

[15] Nieto, J. J., Rodríguez-López, R.: New comparison results for impulsive integro-differential equations and applications. J. Math. Anal. Appl. 328 (2007), 1343-1368. DOI 10.1016/j.jmaa.2006.06.029 | MR 2290058 | Zbl 1113.45007

[16] Samoĭlenko, A. M., Perestyuk, N. A.: Impulsive Differential Equations. Transl. from the Russian by Yury Chapovsky. World Scientific Series on Nonlinear Science, Series A 14 World Scientific, Singapore (1995). MR 1355787 | Zbl 0837.34003

[17] Sun, J., Chen, H., Nieto, J. J., Otero-Novoa, M.: The multiplicity of solutions for perturbed second-order Hamiltonian systems with impulsive effects. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72 (2010), 4575-4586. DOI 10.1016/j.na.2010.02.034 | MR 2639205 | Zbl 1198.34036

[18] Tian, Y., Ge, W.: Applications of variational methods to boundary-value problem for impulsive differential equations. Proc. Edinb. Math. Soc., II. Ser. 51 (2008), 509-527. DOI 10.1017/S0013091506001532 | MR 2465922 | Zbl 1163.34015

[19] Tian, Y., Ge, W.: Variational methods to Sturm-Liouville boundary value problem for impulsive differential equations. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72 (2010), 277-287. DOI 10.1016/j.na.2009.06.051 | MR 2574937 | Zbl 1191.34038

[20] Wang, L., Ge, W., Pei, M.: Infinitely many solutions of a second-order $p$-Laplacian problem with impulsive condition. Appl. Math., Praha 55 (2010), 405-418. DOI 10.1007/s10492-010-0015-7 | MR 2737720 | Zbl 1224.34091

[21] Wu, X., Chen, J.: Existence theorems of periodic solutions for a class of damped vibration problems. Appl. Math. Comput. 207 (2009), 230-235. DOI 10.1016/j.amc.2008.10.020 | MR 2492737 | Zbl 1166.34316

[22] Wu, X., Chen, S., Teng, K.: On variational methods for a class of damped vibration problems. Nonlinear Anal., Theory Methods Appl. 68 (2008), 1432-1441. DOI 10.1016/j.na.2006.12.043 | MR 2388824 | Zbl 1141.34011

[23] Wu, X., Wang, S.: On a class of damped vibration problems with obstacles. Nonlinear Anal., Real World Appl. 11 (2010), 2973-2988. MR 2661960 | Zbl 1202.34082

[24] Wu, X., Zhou, J.: On a class of forced vibration problems with obstacles. J. Math. Anal. Appl. 337 (2008), 1053-1063. DOI 10.1016/j.jmaa.2007.04.036 | MR 2386356 | Zbl 1143.34028

[25] Xiao, J., Nieto, J. J.: Variational approach to some damped Dirichlet nonlinear impulsive differential equations. J. Franklin Inst. 348 (2011), 369-377. DOI 10.1016/j.jfranklin.2010.12.003 | MR 2771846 | Zbl 1228.34048

[26] Zhao, X., Ge, W.: Some results for fractional impulsive boundary value problems on infinite intervals. Appl. Math., Praha 56 (2011), 371-387. DOI 10.1007/s10492-011-0021-4 | MR 2833167 | Zbl 1240.26011

[27] Zhou, J., Li, Y.: Existence and multiplicity of solutions for some Dirichlet problems with impulsive effects. Nonlinear Anal., Theory Methods Appl. 71 (2009), 2856-2865. DOI 10.1016/j.na.2009.01.140 | MR 2532812 | Zbl 1175.34035

[28] Zhou, J., Li, Y.: Existence of solutions for a class of second-order Hamiltonian systems with impulsive effects. Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72 (2010), 1594-1603. DOI 10.1016/j.na.2009.08.041 | MR 2577560 | Zbl 1193.34057