@article{AIHPC_1997__14_1_103_0, author = {Chang, K. C. and Liu, J. Q. and Liu, M. J.}, title = {Nontrivial periodic solutions for strong resonance hamiltonian systems}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {103--117}, publisher = {Gauthier-Villars}, volume = {14}, number = {1}, year = {1997}, mrnumber = {1437190}, zbl = {0881.34061}, language = {en}, url = {http://archive.numdam.org/item/AIHPC_1997__14_1_103_0/} }
TY - JOUR AU - Chang, K. C. AU - Liu, J. Q. AU - Liu, M. J. TI - Nontrivial periodic solutions for strong resonance hamiltonian systems JO - Annales de l'I.H.P. Analyse non linéaire PY - 1997 SP - 103 EP - 117 VL - 14 IS - 1 PB - Gauthier-Villars UR - http://archive.numdam.org/item/AIHPC_1997__14_1_103_0/ LA - en ID - AIHPC_1997__14_1_103_0 ER -
%0 Journal Article %A Chang, K. C. %A Liu, J. Q. %A Liu, M. J. %T Nontrivial periodic solutions for strong resonance hamiltonian systems %J Annales de l'I.H.P. Analyse non linéaire %D 1997 %P 103-117 %V 14 %N 1 %I Gauthier-Villars %U http://archive.numdam.org/item/AIHPC_1997__14_1_103_0/ %G en %F AIHPC_1997__14_1_103_0
Chang, K. C.; Liu, J. Q.; Liu, M. J. Nontrivial periodic solutions for strong resonance hamiltonian systems. Annales de l'I.H.P. Analyse non linéaire, Tome 14 (1997) no. 1, pp. 103-117. http://archive.numdam.org/item/AIHPC_1997__14_1_103_0/
[AZ1] Nontrivial Solutions for a class of nonresonance problems and applications to nonlinear differential equations, Ann. Sc. Super. Pisa, CC. Sci., IV, Ser. 7, 1980, pp. 539-603. | Numdam | MR | Zbl
and ,[AZ2] Periodic solutions of asymptotically Hamiltonian systems, Manuscr. Math., Vol. 32, 1980, pp. 149-189. | MR | Zbl
and ,[Ch1] Solutions of asymptotically linear operator equations via Morse theory, Comm. Pure Appl. Math., Vol. 34, 1981, pp. 693-712. | MR | Zbl
,[Ch2] Applications of homology theory to some problems in differential equations, Nonlinear Func. Anal., (F.E. BROWDER Ed.), Proc. Symp. Pure Math., AMS, 1986, pp. 253-261. | MR | Zbl
,[Ch3] On the homology method in the critical point theory, PDE and related subjects, (M. MIRANDA Ed.) Pitman, Vol. 269, 1992, pp. 59-77. | MR | Zbl
,[CL] A strong resonance problem, Chinese Ann. of Math., Vol. 11B, 1990, pp. 191-210. | MR | Zbl
and ,[CZ] Morse type index theory for flows and periodic solutions for Hamiltonian equations, Comm. Pure Appl. Math., Vol. 37, 1984, pp. 207-253. | MR | Zbl
and ,[DL] Periodic solutions of asymptotically linear Hamiltonian systems, J. Sys. Sci. Math. Sci., Vol. 9, 1990, pp. 30-39. | MR | Zbl
and ,[LL] Morse theory and asymptotically linear Hamiltonian systems, JDE 78, 1989, pp. 53-73. | MR | Zbl
and ,[Li] Morse theory for strong indefinite functional and applications, Thesis, Institute of System Science, Beijing, 1990.
,[Lo] Maslov index, degenerate critical points and asymptotically linear Hamiltonian systems, Science in China, Ser. A, Vol. 33, 1990, pp. 1409-1419. | MR | Zbl
,[LZ] Morse theory for forced oscillations of asymptotically linear Hamiltonian systems, Stochastic Processes, Physics and Geometry, World Sci. Press, 1990, pp. 528-563. | MR
and ,[MP] Metodi perturbativi nella teoria di Morse, Boll. Un. Mate. Italia, Suppl. Fasc. 3, 1975, pp. 1-32. | MR | Zbl
and ,[Sa] Periodic solutions of asymptotically linear systems without symmetry, Rend. Sem. Mat. Univ., Padova, Vol. 74, 1985, pp. 147-161. | Numdam | MR | Zbl
,[Sz] Cohomology and Morse theory for strong indefinite functionals, MZ 209, 1992, pp. 375-418. | MR | Zbl
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