Korean Journal of Mathematics

  • 제17권3호
  • /
  • Pages.331-340
  • /
  • 2009
  • /
  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

PERIODIC SOLUTIONS FOR THE NONLINEAR HAMILTONIAN SYSTEMS

  • Jung, Tacksun (Department of Mathematics Kunsan National University) ;
  • Choi, Q-Heung (Department of Mathematics Education Inha University)
  • 투고 : 2009.08.22
  • 발행 : 2009.06.30
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초록

We show the existence of nonconstant periodic solution for the nonlinear Hamiltonian systems with some nonlinearity. We approach the variational method. We use the critical point theory and the variational linking theory for strongly indefinite functional.

키워드

과제정보

연구 과제 주관 기관 : Inha University

참고문헌

  1. Chang, K. C., Infinite dimensional Morse theory and multiple solution problems, Progress in Nonlinear Differential Equations and Their Applications Vol. 6, Birkhauser, Boston. Basel. Berlin (1993).
  2. Rabinowitz, P. H., Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math. 31, 157-184 (1978). https://doi.org/10.1002/cpa.3160310203
  3. Rabinowitz, P. H., Multiple critical points of perturbed symmetric functionals, Trans. Amer. Math. Soc. 272, 753-769 (1982). https://doi.org/10.1090/S0002-9947-1982-0662065-5
  4. Rabinowitz, P. H., Periodic solutions of large norm of Hamiltonian systems, J. Differential Equations 50, 33-48 (1983). https://doi.org/10.1016/0022-0396(83)90083-9
  5. Rabinowitz, P. H., Minimax methods in critical point theory with applications to differential equations, CBMS. Regional Conf. Ser. Math., 65, Amer. Math. Soc., Providence, Rhode Island (1986).