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Multiple Periodic Solutions for Some Classes of First-Order Hamiltonian Systems
- Source :
- Applied Mathematics. :846-853
- Publication Year :
- 2011
- Publisher :
- Scientific Research Publishing, Inc., 2011.
-
Abstract
- Considering a decomposition R2N=A♁B of R2N , we prove in this work, the existence of at least (1+dimA) geometrically distinct periodic solutions for the first-order Hamiltonian system Jx'(t)+H'(t,x(t))+e(t)=0 when the Hamiltonian H(t,u+v) is periodic in (t,u) and its growth at infinity in v is at most like or faster than |v|a, 0≤a
Details
- ISSN :
- 21527393 and 21527385
- Database :
- OpenAIRE
- Journal :
- Applied Mathematics
- Accession number :
- edsair.doi...........d6a91765b13d361ee8f1060d172d1d10