Article ID Journal Published Year Pages File Type
4622990 Journal of Mathematical Analysis and Applications 2007 11 Pages PDF
Abstract
This paper deals with the subharmonic solutions of Hamiltonian systems(H)x˙=J∇H(t,x),t∈R1,x∈R2n. Where H(t,x)=12〈Bˆ(t)x,x〉+Hˆ(t,x) is T-periodic in t, Bˆ(t) is a T-periodic semipositive symmetric matrix. We prove that for each positive integer k, (H) has a nonconstant kT-periodic solution xk such that xj and xpj are geometrically distinct if p satisfies the certain conditions.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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