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Periodic and subharmonic solutions for a class of non-autonomous Hamiltonian systems
Authors:Chun LiZeng-Qi Ou  Chun-Lei Tang
Affiliation:
  • School of Mathematics and Statistics, Southwest University, Chongqing 400715, People’s Republic of China
  • Abstract:Some existence theorems are obtained for periodic and subharmonic solutions of a class of non-autonomous Hamiltonian systems. Our technical approach is based on a version of the Local Linking Theorem, and the Generalized Mountain Pass Theorem.
    Keywords:Periodic solutions   Subharmonic solutions   Hamiltonian systems   The Local Linking Theorem   The Generalized Mountain Pass Theorem   The (  mmlsi1"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0362546X11007267&  _mathId=si1.gif&  _pii=S0362546X11007267&  _issn=0362546X&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=3a27f4f0e532efb20bc6106b9cbe523c')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >C&lowast  ) condition   The (  mmlsi2"   class="  mathmlsrc"   onclick="  submitCitation('/science?_ob=MathURL&  _method=retrieve&  _eid=1-s2.0-S0362546X11007267&  _mathId=si2.gif&  _pii=S0362546X11007267&  _issn=0362546X&  _acct=C000069490&  _version=1&  _userid=6211566&  md5=d4e11168409ee77e2f12f8243e9fb7b9')"   style="  cursor:pointer  "   alt="  Click to view the MathML source"   title="  Click to view the MathML source"  >  formulatext"   title="  click to view the MathML source"  >C) condition
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