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Bounded weak solution for the Hamiltonian system
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We investigate the bounded weak solutions for the Hamiltonian system with bounded nonlinearity decaying at the origin and periodic condition. We get a theorem which shows the existence of the bounded weak periodic solution for this system. We obtain this result by using variational method, critical point theory for indefinite functional.
Abstract
We investigate the bounded weak solutions for the Hamiltonian system with bounded nonlinearity decaying at the origin and periodic condition. We get a theorem which shows the existence of the bounded weak periodic solution for this system. We obtain this result by using variational method, critical point theory for indefinite functional.
참고문헌 (5)
- K. C. Chang, "Infinite dimensional Morse theory and multiple solution problems" (1993), Birkhauser
- Benci, V., "Critical point theorems for inde nite functionals", Invent. Math, 52, pp.241~273 (1979)
- T. Jung, "On the number of the periodic solutions of the nonlinear Hamiltonian system", Nonlinear Anal, 71(12), pp.e1100~e1108 (2009)
- 정택선, "Periodic solutions for the nonlinear Hamiltonian systems", 한국수학논문집, 17(3), pp.331~340 (2009), 강원경기수학회
- P. H. Rabinowitz, "Minimax methods in critical point theory with applications to differential equations", CBMS. Regional Conf. Ser. Math. 65, Amer. Math. Soc. Providence (1986)
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