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MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS

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Indexed by:期刊论文

Date of Publication:2013-06-28

Journal:ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals:SCIE、Scopus

Volume:2013

ISSN No.:1072-6691

Key Words:Second order Hamilton system; Homoclinic solution; variational method

Abstract:By using a modified function technique and variational methods, we establish the existence of infinitely many homoclinic solutions for a second-order Hamiltonian system u - L (t)u + F-u (t, u) = 0, for all t is an element of R, where no coercive condition for F (t, u) at infinity is imposed.

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