Multiplicity of periodic orbits for a class of second order Hamiltonian systems with superlinear and sublinear nonlinearity

Bitao Cheng

Chaos, Solitons & Fractals, 2011, vol. 44, issue 10, 811-816

Abstract: This paper is concerned with a class of second order Hamiltonian systems with superlinear and sublinear nonlinearity(P)u¨(t)+b(t)|u(t)|μ-2u(t)+∇H(t,u(t))=0,a.e.t∈[0,T];u(0)-u(T)=u˙(0)-u˙(T)=0,where b(t) is a real function defined on [0,T], μ>2 and H : [0,T]×RN→R is a Carathéodory function. Some new multiplicity results of periodic orbits for the problem (P) are obtained via some critical point theorems.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:10:p:811-816

DOI: 10.1016/j.chaos.2011.06.005

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