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Volumn 3, Issue 1, 1997, Pages 25-34

Multiple periodic solutions of second order equations with asymmetric nonlinearities

Author keywords

Asymmetric nonlinearities; Periodic solutions; Poincar Birkhoff fixed point theorem; Subharmonics

Indexed keywords


EID: 0031541738     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcds.1997.3.25     Document Type: Article
Times cited : (9)

References (13)
  • 1
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    • Dancer, E.N.1
  • 2
    • 38249011962 scopus 로고
    • On the number of 2π periodic solutions for u″ + g(u) = s(1 + h(t)) using the Poincaré-Birkhoff theorem
    • M. del Pino, R. F. Manásevich, A. Murua, On the number of 2π periodic solutions for u″ + g(u) = s(1 + h(t)) using the Poincaré-Birkhoff theorem, J. Differential Equations, 95, (1992), 240-258.
    • (1992) J. Differential Equations , vol.95 , pp. 240-258
    • Del Pino, M.1    Manásevich, R.F.2    Murua, A.3
  • 3
    • 84966216880 scopus 로고
    • A generalization of the Poincaré-Birkhoff theorem
    • W. Y. Ding, A generalization of the Poincaré-Birkhoff theorem, Proc. Amer. Math. Soc., 88, (1983), 341-346.
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 341-346
    • Ding, W.Y.1
  • 4
    • 0000841894 scopus 로고
    • Landesman-Lazer conditions for periodic boundary value problems with asymmetric nonlinearities
    • C. Fabry, Landesman-Lazer conditions for periodic boundary value problems with asymmetric nonlinearities, J. Differential Equations, 116, (1995), 405-418.
    • (1995) J. Differential Equations , vol.116 , pp. 405-418
    • Fabry, C.1
  • 5
    • 0001725922 scopus 로고
    • Periodic solutions of second order differential equations with superlinear asymmetric nonlinearities
    • C. Fabry, P. Habets, Periodic solutions of second order differential equations with superlinear asymmetric nonlinearities, Arch. Math., 60, (1993), 266-276.
    • (1993) Arch. Math. , vol.60 , pp. 266-276
    • Fabry, C.1    Habets, P.2
  • 7
    • 0000614032 scopus 로고
    • Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities
    • A.C. Lazer, P.J. McKenna, Existence, uniqueness, and stability of oscillations in differential equations with asymmetric nonlinearities, Trans. Amer. Math. Soc., 315, (1989), 721-739.
    • (1989) Trans. Amer. Math. Soc. , vol.315 , pp. 721-739
    • Lazer, A.C.1    McKenna, P.J.2
  • 8
    • 0025546181 scopus 로고
    • Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis
    • A.C. Lazer, P.J. McKenna, Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis, SIAM Review, 32, (1990), 537-578.
    • (1990) SIAM Review , vol.32 , pp. 537-578
    • Lazer, A.C.1    McKenna, P.J.2
  • 9
    • 21844515478 scopus 로고
    • Oscillatory properties of solutions and nonlinear differential equations with periodic boundary conditions
    • J. Mawhin, Oscillatory properties of solutions and nonlinear differential equations with periodic boundary conditions, Rocky Mountain J. Math., 25, (1995), 7-37.
    • (1995) Rocky Mountain J. Math. , vol.25 , pp. 7-37
    • Mawhin, J.1
  • 10
    • 0001488662 scopus 로고    scopus 로고
    • Asymmetric oscillators and twist mappings
    • to appear
    • R. Ortega, Asymmetric oscillators and twist mappings, J. London Math. Soc., (to appear).
    • J. London Math. Soc.
    • Ortega, R.1
  • 11
    • 84865939586 scopus 로고    scopus 로고
    • A note on the Poincaré-Birkhoff fixed point theorem and periodic solutions of planar systems
    • to appear
    • C. Rebelo, A note on the Poincaré-Birkhoff fixed point theorem and periodic solutions of planar systems, Nonlinear Analysis TMA, (to appear).
    • Nonlinear Analysis TMA
    • Rebelo, C.1
  • 12
    • 3042961408 scopus 로고    scopus 로고
    • Ph. D. Thesis
    • C. Rebelo, Ph. D. Thesis.
    • Rebelo, C.1
  • 13
    • 85088077576 scopus 로고    scopus 로고
    • Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities
    • to appear
    • C. Rebelo, F. Zanolin, Multiplicity results for periodic solutions of second order ODEs with asymmetric nonlinearities, Trans. Amer. Math. Soc., (to appear).
    • Trans. Amer. Math. Soc.
    • Rebelo, C.1    Zanolin, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.