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Multiple solutions of three-point boundary value problems for second-order impulsive differential equation at resonance

Yulin Zhao1*, Haibo Chen2 and Qiming Zhang1

Author Affiliations

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

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Boundary Value Problems 2014, 2014:103  doi:10.1186/1687-2770-2014-103

Published: 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.

resonance; coincidence degree; upper and lower solutions; impulsive; three-point boundary value problems