Research
Existence of nontrivial weak homoclinic orbits for second-order impulsive differential equations
Department of Mathematics, Kunming University of Science and Technology, Kunming, Yunnan, 650500, China
Boundary Value Problems 2012, 2012:138 doi:10.1186/1687-2770-2012-138
Published: 26 November 2012Abstract
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.
