Ontology type: schema:ScholarlyArticle
2019-04
AUTHORSGuanggang Liu, Yong Li, Xue Yang
ABSTRACTIn this paper, we consider a class of second-order Hamiltonian system in ℝN with combined nonlinearities. We will study the multiplicity of rotating periodic solutions, i.e., x(t+T)=Qx(t) with T>0 and Q is an N×N orthogonal matrix. In the case Qk≠IN for any positive integer k, such a rotating periodic solution is just a quasi-periodic solution; In the case Qk=IN for some positive integer k, such a rotating periodic solution is just a subharmonic solution. We will use the Fountain Theorem and its dual form to obtain two sequences of rotating periodic solutions with the corresponding energy tending to infinity and zero respectively. More... »
PAGES159-174
http://scigraph.springernature.com/pub.10.1007/s10883-018-9402-2
DOIhttp://dx.doi.org/10.1007/s10883-018-9402-2
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