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