메뉴 건너뛰기




Volumn 28, Issue 8, 1997, Pages 1359-1371

Subharmonic solutions for convex nonautonomous Hamiltonian systems

Author keywords

Hamiltonian systems; Minimal period; Subharmonics; Zp index theory

Indexed keywords

NONLINEAR EQUATIONS; TIME VARYING SYSTEMS;

EID: 0031126466     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(95)00226-L     Document Type: Article
Times cited : (5)

References (14)
  • 1
    • 0039452756 scopus 로고
    • On the periodic motions near a given periodic motion of a dynamical system
    • BIRKHOFF G. D. & LEWIS D. C., On the periodic motions near a given periodic motion of a dynamical system, Annali Mat. pura appl. 12, 117-133 (1933).
    • (1933) Annali Mat. Pura Appl. , vol.12 , pp. 117-133
    • Birkhoff, G.D.1    Lewis, D.C.2
  • 2
    • 0001195103 scopus 로고
    • Sur une properiete topologique des applications globalement canonique de la mecanique classique
    • ARNOLD V. I., Sur une properiete topologique des applications globalement canonique de la mecanique classique, Comp. Rend. Acad. Sci. 261, 3719-3722 (1965).
    • (1965) Comp. Rend. Acad. Sci. , vol.261 , pp. 3719-3722
    • Arnold, V.I.1
  • 3
    • 0042974583 scopus 로고
    • Periodic solutions of arbitrary long periods in Hamiltonian systems
    • HARRIS T. C., Periodic solutions of arbitrary long periods in Hamiltonian systems, J. diff. Eqns 4, 131-141 (1968).
    • (1968) J. Diff. Eqns , vol.4 , pp. 131-141
    • Harris, T.C.1
  • 5
    • 0020002987 scopus 로고
    • Nonlinear oscillations and boundary value problems for Hamiltonian systems
    • CLARKE F. & EKELAND L, Nonlinear oscillations and boundary value problems for Hamiltonian systems, Arch ration. Mech. Analysis 78, 315-333 (1982).
    • (1982) Arch Ration. Mech. Analysis , vol.78 , pp. 315-333
    • Clarke, F.1    Ekeland, L.2
  • 6
    • 84980174431 scopus 로고
    • On subharmonics solutions of Hamiltonian systems
    • RABINOWITZ P., On subharmonics solutions of Hamiltonian systems, Communs pure appl. Math. 33, 609-633 (1980).
    • (1980) Communs Pure Appl. Math. , vol.33 , pp. 609-633
    • Rabinowitz, P.1
  • 7
    • 84990623082 scopus 로고
    • Subharmonic for convex nonautonomous Hamiltonian systems
    • EKELAND I. & HOFER H., Subharmonic for convex nonautonomous Hamiltonian systems, Communs pure appl. Math. 40, 1-36 (1987).
    • (1987) Communs Pure Appl. Math. , vol.40 , pp. 1-36
    • Ekeland, I.1    Hofer, H.2
  • 8
    • 38249002628 scopus 로고
    • Remarks on subharmonics with minimal periods of Hamiltonian systems
    • LIU J. Q. & WANG Z. Q., Remarks on subharmonics with minimal periods of Hamiltonian systems, Nonlinear Analysis 7, 803-821 (1993).
    • (1993) Nonlinear Analysis , vol.7 , pp. 803-821
    • Liu, J.Q.1    Wang, Z.Q.2
  • 9
    • 38249026758 scopus 로고
    • Subharmonics solutions with prescribed minimal periods for nonautonomous Hamiltonian systems
    • MICHALEK R. & TARANTELLO G., Subharmonics solutions with prescribed minimal periods for nonautonomous Hamiltonian systems, J. diff. Eqns 72, 28-55 (1988).
    • (1988) J. Diff. Eqns , vol.72 , pp. 28-55
    • Michalek, R.1    Tarantello, G.2
  • 10
    • 84980160759 scopus 로고
    • 1 and some applications to the study of periodic solutions of O.D.E.s
    • 1 and some applications to the study of periodic solutions of O.D.E.s., Communs pure appl. Math. 34, 393-432 (1981).
    • (1981) Communs Pure Appl. Math. , vol.34 , pp. 393-432
    • Benci, V.1
  • 11
    • 0041972940 scopus 로고
    • Sure le nombre de points critiques de froctions invariantes par der groups
    • EKELAND I. & LASRY J. M., Sure le nombre de points critiques de froctions invariantes par der groups, C. r. Acad. Sci. Paris, Serie A 282, 559 (1976).
    • (1976) C. R. Acad. Sci. Paris, Serie A , vol.282 , pp. 559
    • Ekeland, I.1    Lasry, J.M.2
  • 13
    • 0024703279 scopus 로고
    • p Borsuk-Ulam theorem
    • p Borsuk-Ulam theorem, Chinese Bull. Sci. 34, 1153-1157 (1989).
    • (1989) Chinese Bull. Sci. , vol.34 , pp. 1153-1157
    • Wang, Z.Q.1
  • 14
    • 0003379665 scopus 로고
    • Variational methods for nonlinear eigenvalue problems
    • (Edited by G. PRODI), Edizioni Cremonese, Rome
    • RABINOWITZ P., Variational methods for nonlinear eigenvalue problems, in Eigenvalue of Nonlinear Problems (Edited by G. PRODI), pp. 141-195. Edizioni Cremonese, Rome (1974),
    • (1974) Eigenvalue of Nonlinear Problems , pp. 141-195
    • Rabinowitz, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.