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Existence of solutions for second‐order impulsive differential inclusions
Authors:Nemat Nyamoradi  Yu Tian
Affiliation:1. Department of Mathematics, Faculty of Sciences, Razi University, 67149 Kermanshah, Iran;2. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
Abstract:In this paper, we investigate the existence and multiplicity of solutions to the following second‐order impulsive Hamiltonian systems: urn:x-wiley:mma:media:mma3217:mma3217-math-0166 where urn:x-wiley:mma:media:mma3217:mma3217-math-0167 is a continuousmap form the interval [0, T] to the set of N‐order symmetric matrices. Our methods are based on critical point theory for nondifferentiable functionals. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:nonsmooth analysis  variational methods  locally Lipschitz  impulsive
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