Multiple Subharmonic Solutions of Nonautonomous Hamiltonian System
Received:May 17, 1991  
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Author NameAffiliation
Yang Jiaxin Dalian University of Technology 
Zheng Yu Dalian University of Technology 
Li Zhuang Dalian University 
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Abstract:
      By means of Zp-index and its pseudo-index, we study the existence of multiple subharmonic solutions with prescribed minimal period for nonautonomous su-perquadratic Hamiltonian system Jz = Hz(z(t),t),z(0) = z(2πp) where H(z, t + 2πp) = H(z, t), t ∈ R, z∈R2N. Under hypotheses H1-H4, there are at least kN distinct soultions with minimal period 2-πp.
Citation:
DOI:10.3770/j.issn:1000-341X.1993.02.010
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