Multiple solutions of three-point boundary value problems for second-order impulsive differential equation at resonance
1 School of Science, Hunan University of Technology, Zhuzhou, Hunan, 412007, PR China
2 Department of Mathematics, Central South University, Changsha, Hunan, 410075, PR China
Boundary Value Problems 2014, 2014:103 doi:10.1186/1687-2770-2014-103Published: 7 May 2014
In this paper, by using the coincidence degree theory and the upper and lower solutions method, we deal with the existence of multiple solutions to three-point boundary value problems for second-order differential equation with impulses at resonance. An example is given to show the validity of our results.