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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.
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참고문헌 (5)
참고문헌 신청
Chang, K. C. / 1993 / In?nite dimensional Morse theory and multiple solution problems, Progress in Nonlinear Differential Equations and Their Applications Vol. 6 / BirkhAauser
Rabinowitz, P. H / 1978 / Periodic solutions of Hamiltonian systems / Comm. Pure Appl. Math 31 : 157 ~ 184
Rabinowitz, P. H / 1982 / Multiple critical points of perturbed symmetric functionals / Trans. Amer. Math. Soc 272 : 753 ~ 769
Rabinowitz, P. H / 1986 / Minimax methods in critical point theory with applications to differential equations / CBMS. Regional Conf. Ser. Math., 65, Amer. Math. Soc
Rabinowitz, P. H. / 1983 / Periodic solutions of large norm of Hamiltonian systems / J. Differential Equations 50 : 33 ~ 48
Rabinowitz, P. H / 1978 / Periodic solutions of Hamiltonian systems / Comm. Pure Appl. Math 31 : 157 ~ 184
Rabinowitz, P. H / 1982 / Multiple critical points of perturbed symmetric functionals / Trans. Amer. Math. Soc 272 : 753 ~ 769
Rabinowitz, P. H / 1986 / Minimax methods in critical point theory with applications to differential equations / CBMS. Regional Conf. Ser. Math., 65, Amer. Math. Soc
Rabinowitz, P. H. / 1983 / Periodic solutions of large norm of Hamiltonian systems / J. Differential Equations 50 : 33 ~ 48
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