Current position: Home >> Scientific Research >> Paper Publications

MULTIPLICITY OF HOMOCLINIC SOLUTIONS FOR SECOND-ORDER HAMILTONIAN SYSTEMS

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2013-06-28

Journal: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Included Journals: Scopus、SCIE

Volume: 2013

ISSN: 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.

Prev One:EXISTENCE OF NONTRIVIAL SOLUTIONS FOR A QUASILINEAR SCHRODINGER EQUATIONS WITH SIGN-CHANGING POTENTIAL

Next One:Multiple solutions for nonlinear systems with gyroscopic terms