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Volumn 260, Issue 2, 2001, Pages 507-516

The lower bounds of T-periodic solutions for the forced Duffing equation

Author keywords

Duffing equation; Multiplicity; Periodic solutions

Indexed keywords


EID: 0035882855     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.2001.7474     Document Type: Article
Times cited : (9)

References (12)
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    • (1992) J. Differential Equations , vol.95 , pp. 240-258
    • Del Pino M., A.1    Manásevich R., F.2    Murua, A.3
  • 2
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    • 84966216880 scopus 로고
    • A generalization of the Poincaré Birkhoff theorem
    • Ding Wei-yue. 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 Wei-yue1
  • 4
    • 0000759436 scopus 로고
    • Fixed points of twist mappings and periodic solutions of ordinary differential equations
    • Ding Wei-yue. Fixed points of twist mappings and periodic solutions of ordinary differential equations. Acta Math. Sinica. 25:1982;227-235.
    • (1982) Acta Math. Sinica , vol.25 , pp. 227-235
    • Ding Wei-yue1
  • 5
    • 0000038518 scopus 로고
    • A multiplicity results for periodic solutions of forced nonlinear second order ordinary differential equations
    • Fabry F., Mawhin J., Nkashama M. N. A multiplicity results for periodic solutions of forced nonlinear second order ordinary differential equations. Bull. London Math. Soc. 18:1986;173-180.
    • (1986) Bull. London Math. Soc. , vol.18 , pp. 173-180
    • Fabry, F.1    Mawhin, J.2    Nkashama M., N.3
  • 6
    • 0003225449 scopus 로고
    • Coincidence Degree and Nonlinear Differential Equations
    • Berlin: Springer-Verlag
    • Gains R. E., Mawhin J. Coincidence Degree and Nonlinear Differential Equations. Lecture Notes in Math. 568:1977;Springer-Verlag, Berlin.
    • (1977) Lecture Notes in Math. , vol.568
    • Gains R., E.1    Mawhin, J.2
  • 8
    • 0001313590 scopus 로고
    • Nonuniform non-resonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
    • Mawhin J., Ward J. R. Nonuniform non-resonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations. Rockey Mountain J. Math. 12:1982;643-654.
    • (1982) Rockey Mountain J. Math. , vol.12 , pp. 643-654
    • Mawhin, J.1    Ward J., R.2
  • 9
    • 0001758037 scopus 로고
    • Multiplicity results for four-point boundary value problems
    • Rachunkova I. Multiplicity results for four-point boundary value problems. Nonlinear Anal. 18:1992;497-505.
    • (1992) Nonlinear Anal. , vol.18 , pp. 497-505
    • Rachunkova, I.1
  • 10
    • 21444443143 scopus 로고    scopus 로고
    • Generalized upper and lower solution method for forced Duffing equation
    • Wang Chengwen. Generalized upper and lower solution method for forced Duffing equation. Proc. Amer. Math. Soc. 125:1997;397-406.
    • (1997) Proc. Amer. Math. Soc. , vol.125 , pp. 397-406
    • Wang Chengwen1
  • 11
    • 0007146269 scopus 로고    scopus 로고
    • Multiplicity of periodic solutions for Duffing equation
    • Wang Chengwen. Multiplicity of periodic solutions for Duffing equation. Comm. Appl. Nonlinear Anal. 4:1997;105-121.
    • (1997) Comm. Appl. Nonlinear Anal. , vol.4 , pp. 105-121
    • Wang Chengwen1
  • 12
    • 22044447307 scopus 로고    scopus 로고
    • Multiplicity of periodic solutions for Duffing equations under nonuniform nonresonance conditions
    • Wang Chengwen. Multiplicity of periodic solutions for Duffing equations under nonuniform nonresonance conditions. Proc. Amer. Math. Soc. 125:1998;1725-1732.
    • (1998) Proc. Amer. Math. Soc. , vol.125 , pp. 1725-1732
    • Wang Chengwen1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.