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Volumn 237, Issue 1, 1999, Pages 166-187

Multiplicity of Periodic Solutions of Semilinear Duffing's Equation at Resonance

Author keywords

Birkhoff twist theorem; Periodic solution; Poincar

Indexed keywords


EID: 0006366070     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1999.6472     Document Type: Article
Times cited : (9)

References (8)
  • 1
    • 84966205375 scopus 로고
    • An infinite class of periodic solutions of periodically perturbed Duffing equation at resonance
    • Ding T. An infinite class of periodic solutions of periodically perturbed Duffing equation at resonance. Proc. Amer. Math. Soc. 86:1982;47-54.
    • (1982) Proc. Amer. Math. Soc. , vol.86 , pp. 47-54
    • Ding, T.1
  • 2
    • 84966216880 scopus 로고
    • A generalization of the Poincaré-Birkhoff theorem
    • Ding W. Y. 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
  • 3
    • 0001955268 scopus 로고
    • Existence and multiplicity results for periodic solutions of semilinear Duffing equation
    • Ding T., Iannacci R., Zanolin F. Existence and multiplicity results for periodic solutions of semilinear Duffing equation. J. Differential Equations. 105:1993;364-409.
    • (1993) J. Differential Equations , vol.105 , pp. 364-409
    • Ding, T.1    Iannacci, R.2    Zanolin, F.3
  • 4
    • 0000903329 scopus 로고
    • Time-maps and Duffing equations with resonance-acrossing
    • Qian D. Time-maps and Duffing equations with resonance-acrossing. Sci. China Ser. A. May:1993;471-479.
    • (1993) Sci. China Ser. a , pp. 471-479
    • Qian, D.1
  • 5
    • 0030641952 scopus 로고    scopus 로고
    • Semilinear Duffing equations crossing resonance points
    • Dunyuan Hao, Shiwang Ma. Semilinear Duffing equations crossing resonance points. J. Differential Equations. 133:1997;98-116.
    • (1997) J. Differential Equations , vol.133 , pp. 98-116
    • Dunyuan, H.1    Shiwang, M.2
  • 6
    • 22044446075 scopus 로고    scopus 로고
    • Periodic solutions of the second order differential equations with Lipschitzian condition
    • Wang Zaihong. Periodic solutions of the second order differential equations with Lipschitzian condition. Proc. Amer. Math. Soc. 126:1998;2267-2276.
    • (1998) Proc. Amer. Math. Soc. , vol.126 , pp. 2267-2276
    • Wang, Z.1
  • 7
    • 0010877389 scopus 로고
    • A continuation theorem for periodic boundary value problems with oscillatory nonlinearities
    • Capietto A., Mawhin J., Zanolin F. A continuation theorem for periodic boundary value problems with oscillatory nonlinearities. Nonlinear Differential Equations Appl. 2:1995;133-163.
    • (1995) Nonlinear Differential Equations Appl. , vol.2 , pp. 133-163
    • Capietto, A.1    Mawhin, J.2    Zanolin, F.3
  • 8
    • 0001334707 scopus 로고
    • Time-maps for the solvability of periodically perturbed nonlinear Duffing equations
    • Ding T., Zanolin F. Time-maps for the solvability of periodically perturbed nonlinear Duffing equations. Nonlinear Anal. 7:1991;635-653.
    • (1991) Nonlinear Anal. , vol.7 , pp. 635-653
    • Ding, T.1    Zanolin, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.