Multiple positive solutions for a system of impulsive integral boundary value problems with sign-changing nonlinearities

Applied Mathematics Letters - Tập 82 - Trang 24-31 - 2018
Xinan Hao1, Mingyue Zuo1, Lishan Liu1,2
1School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, PR China
2Department of Mathematics and Statistics, Curtin University, Perth, WA 6845, Australia

Tài liệu tham khảo

Lakshmikantham, 1989 Bainov, 1989 Samoilenko, 1995 Hao, 2011, Positive solutions for second order impulsive differential equations with integral boundary conditions, Commun. Nonlinear Sci. Numer. Simul., 16, 101, 10.1016/j.cnsns.2010.04.007 Rachunkova, 2014, Existence principle for BVPS with state-dependent impulses, Topol. Methods Nonlinear Anal., 44, 349, 10.12775/TMNA.2014.050 Feng, 2014, Transformation techniques and fixed point theories to establish the positive solutions of second order impulsive differential equations, J. Comput. Appl. Math., 271, 117, 10.1016/j.cam.2014.04.008 D’Agui, 2016, Multiplicity results for superlinear boundary value problems with impulsive effects, Math. Methods Appl. Sci., 39, 1060, 10.1002/mma.3545 Sun, 2016, Multiplicity results for a class of boundary value problems with impulsive effects, Math. Nachr., 289, 718, 10.1002/mana.201400341 Graef, 2016, Nontrivial solutions of a Dirichlet boundary value problem with impulsive effects, Dynam. Systems Appl., 25, 335 Liu, 2017, Multiple solutions for impulsive problems with non-autonomous perturbations, Appl. Math. Lett., 64, 143, 10.1016/j.aml.2016.08.020 Henderson, 2017, Positive solutions for an impulsive second-order nonlinear boundary value problem, Mediterr. J. Math., 14, 93, 10.1007/s00009-017-0897-7 Liu, 2008, Positive solutions of two-point boundary value problems for systems of nonlinear second-order singular and impulsive differential equations, Nonlinear Anal., 69, 3774, 10.1016/j.na.2007.10.012 Lee, 2011, Multiple positive solutions of a singular Emden-Fowler type problem for second-order impulsive differential systems, Bound. Value Probl., 10.1155/2011/212980 Infante, 2014, Nonnegative solutions for a system of impulsive BVPs with nonlinear nonlocal BCs, Nonlinear Anal. Model. Control, 19, 413, 10.15388/NA.2014.3.7 Daoudi-Merzagui, 2016, Multiple positive solutions for nonlinear first-order periodic impulsive boundary-value systems with sign changing nonlinearities, Lith. Math. J., 56, 32, 10.1007/s10986-016-9302-7 Liu, 2017, Solvability of boundary value problems for coupled impulsive differential equations with one-dimensional p-Laplacians, Turkish J. Math., 41, 896, 10.3906/mat-1412-16 Ge, 2006, Fixed point theorems in double cones and their applications to nonlinear boundary value problems, Chinese J. Contemp. Math., 27, 123 Ma, 2003, Positive solutions of nonlinear three-point boundary-value problems, J. Math. Anal. Appl., 279, 216, 10.1016/S0022-247X(02)00661-3 Zhong, 2017, Multiple positive solutions to some second-order integral boundary value problems with singularity on space variable, Bound. Value Probl., 2017, 90, 10.1186/s13661-017-0822-9