A class of boundary value problems for first-order impulsive integro-differential equations with deviating arguments

Journal of Computational and Applied Mathematics - Tập 237 - Trang 477-486 - 2013
Zhenhai Liu1, Jitai Liang1
1College of Science, Guangxi University for Nationalities, Nanning, Guangxi 530006, PR China

Tài liệu tham khảo

Feng, 2009, Multiple positive solutions of multi-point boundary value problem for second-order impulsive differential equations, J. Comput. Appl. Math., 223, 438, 10.1016/j.cam.2008.01.024 He, 2002, Triple solutions for second-order three-point boundary value problems, J. Math. Anal. Appl., 268, 256, 10.1006/jmaa.2001.7824 Liu, 2002, Existence of solution for m-point boundary value problems of second-order differential systems with impulses, Appl. Math. Comput., 125, 155 Xu, 2009, Singular multipoint impulsive boundary value problem with P-Laplacian operator, J. Appl. Math. Comput., 30, 105, 10.1007/s12190-008-0160-2 Jankowski, 2003, Monotone and numerical-analytic methods for differential equations, Comput. Math. Appl., 45, 1823, 10.1016/S0898-1221(03)90003-4 Chen, 2007, Integral boundary value problems for first order impulsive functional differential equations, Int. J. Math. Anal., 1, 965 Din, 2005, Periodic boundary value problems for the second order impulsive functional equations, Appl. Math. Comput., 50, 491, 10.1016/j.camwa.2005.03.010 He, 2002, Periodic boundary value problem for first order impulsive ordinary differential equation, J. Math. Anal. Appl., 272, 67, 10.1016/S0022-247X(02)00133-6 He, 2004, Monotone iterative technique for impulsive integro-differential equations with periodic boundary conditions, Comput. Math. Appl., 48, 73, 10.1016/j.camwa.2004.01.005 Li, 2006, Periodic boundary value problems for impulsive integro-differential equations, Appl. Math. Comput., 183, 890 Luo, 2009, New results for the periodic boundary value problem for impulsive integro-differential equations, Nonlinear Anal., 70, 2248, 10.1016/j.na.2008.03.004 Liu, 2010, Anti-periodic solutions to nonlinear evolution equations, J. Funct. Anal., 258, 2026, 10.1016/j.jfa.2009.11.018 Liu, 2011, On the existence of anti-periodic solutions for implicit differential equations, Acta Math. Hungar., 132, 294, 10.1007/s10474-010-0054-2 Luo, 2005, Anti-periodic boundary value problem for first order impulsive ordinary differential equations, Comput. Math. Appl., 49, 253, 10.1016/j.camwa.2004.08.010 Wang, 2010, Impulsive anti-periodic boundary value problem of first-order integro-differential equations, Comput. Math. Appl., 10.1016/j.cam.2010.04.024 Jankowski, 2006, Boundary value problems for first order differential equations of mixed type, Nonlinear Anal., 64, 1984, 10.1016/j.na.2005.07.033 Lee, 2009, Study of singular boundary value problems for second order impulsive differential equations, Nonlinear Anal., 70, 2736 Nieto, 2007, New comparison results for impulsive integro-differential equations and applications, J. Math. Anal. Appl., 328, 1343, 10.1016/j.jmaa.2006.06.029 Zhao, 2010, Integral boundary value problems with causal operators, Comput. Math. Appl., 59, 2768, 10.1016/j.camwa.2010.01.046 Guo, 1996 Lakshmikantham, 1989, 10.1142/0906