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一类二阶哈密尔顿系统的周期解
Periodic Solutions for a Class of Second Order Hamiltonian Systems
二阶哈密尔顿系统 / 周期解 / 带(CPS)C及(PS)C条件的对称形式的山路引理 {{custom_keyword}} /
Second order Hamiltonian systems / periodic solutions / Mountain-Pass Lemma with (CPS)C and (PS)C condition {{custom_keyword}} /
[1] Rabinowitz P. H., Periodic solutions of Hamiltonian systems, Comm. Pure Appl. Math., 1978, 31: 157--184.
[2] Long Y., Index Theory for Symplectic Paths with Applications, Birkhauser: Verlag, 2002.
[3] Mawhin J., Willem M., Critical Point Theory and Hamiltonian System, Berlin: Springer, 1989.
[4] Struwe M., Variational Methods, Berlin: Springer, 1990.
[5] Benci V., Closed geodesics for the Jacobi metric and periodic solutions of prescribed energy of natural Hamiltonian systems, Ann. Inst. H. Poincare Anal. NonLineaire, 1984, 1: 401--412.
[6] Cerami G., Un criterio di esistenza per i punti critici so variete illimitate, Rend. dell Academia di sc. Lombardo, 1978, 112: 332--336.
[7] Ambrosetti A., Rabinowitz P. H., Dual variational methods in critical point theory and application, J. Funct. Analysis, 1973, 14: 349--381.
[8] Palais R., The principle of symmetric criticality, CMP, 1979, 69: 19--30.
[9] Ambrosetti A., Coti Zelati V., Closed orbits of fixed energy for singular hamiltonian systems, Arch. Rational Mech. Anal., 1990, 112: 339--362.
[10] Adams R. A., Fournier J. F., Sobolev Spaces, Second Edition, New York: Academic Press, 2003.
[11] Chang K. C., Critical Point Theory and Applications, Shanghai: Shanghai Academic Press, 1986 (in Chinese).
[12] Yosida K., Functional Analysis, 5th ed., Berlin: Springer, 1978.
[13] Ambrosetti A., Coti Zelati V., Closed orbits of fixed energy for a class of N-body Problems, Ann. Inst. H. Poincare Anal. NonLineaire, 1992, 9: 187--200, Addendum, 1992, 9: 337--338.
[14] Cheng D., Liu Z., Huang X., {Periodic solutions of a class of Newtonian equation, CPAA, 2009, 8: 1795--1801.
[15] Zhang S. Q., periodic Solutions for some second order Hamiltonian systems, Nonliearity, 2009, 22: 2141--2150.
国家自然科学基金资助项目(10871106)
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