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Existence of nontrivial weak homoclinic orbits for second-order impulsive differential equations

Hui Fang* and Hongbo Duan

Author Affiliations

Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan, 650500, China

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Boundary Value Problems 2012, 2012:138  doi:10.1186/1687-2770-2012-138

Published: 26 November 2012


A sufficient condition is obtained for the existence of nontrivial weak homoclinic orbits of second-order impulsive differential equations by employing the mountain pass theorem, a weak convergence argument and a weak version of Lieb’s lemma.