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Volumn 55, Issue 1-2, 2003, Pages 115-124

Exact multiplicity for periodic solutions of Duffing type

Author keywords

Periodic solution; Stability index; Topological degree

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTIONS; THEOREM PROVING; TOPOLOGY;

EID: 0042013072     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(03)00218-9     Document Type: Article
Times cited : (13)

References (10)
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    • Castro, A.1    Lazer, A.C.2
  • 4
    • 0000038518 scopus 로고
    • A multiplicity result for periodic solutions of forced nonlinear second order ordinary differential equations
    • Fabry C., Mawhin J., Nkashama M.N. A multiplicity result 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, C.1    Mawhin, J.2    Nkashama, M.N.3
  • 5
    • 0005876693 scopus 로고    scopus 로고
    • Uniqueness of periodic solutions for asymptotically linear Duffing equations with strong forcing
    • Katriel G. Uniqueness of periodic solutions for asymptotically linear Duffing equations with strong forcing. Topol. Methods Nonlinear Anal. 12:1998;263-274.
    • (1998) Topol. Methods Nonlinear Anal. , vol.12 , pp. 263-274
    • Katriel, G.1
  • 6
    • 84966251805 scopus 로고
    • On the existence of stable periodic solutions of differential equations of Duffing type
    • Lazer A.C., McKenna P.J. On the existence of stable periodic solutions of differential equations of Duffing type. Proc. Amer. Math. Soc. 110:1990;125-133.
    • (1990) Proc. Amer. Math. Soc. , vol.110 , pp. 125-133
    • Lazer, A.C.1    McKenna, P.J.2
  • 7
    • 0002113063 scopus 로고
    • Topological degree and boundary value problems for nonlinear differential equations
    • M. Furi, & P. Zecca. Topological Methods for Ordinary Differential Equations, Lectures Given at the First C.I.M.E. Session held in Montecatini Terme, 1991, Berlin: Springer
    • Mawhin J. Topological degree and boundary value problems for nonlinear differential equations. Furi M., Zecca P. Topological Methods for Ordinary Differential Equations, Lectures Given at the First C.I.M.E. Session held in Montecatini Terme, 1991. Lecture Notes in Mathematics. Vol. 1537:1993;74-142 Springer, Berlin.
    • (1993) Lecture Notes in Mathematics , vol.1537 , pp. 74-142
    • Mawhin, J.1
  • 8
    • 0000915068 scopus 로고
    • Stability and index of periodic solutions of an equation of Duffing type
    • Ortega R. Stability and index of periodic solutions of an equation of Duffing type. Boll. Un. Mat. Ital. B. 3(7):1989;533-546.
    • (1989) Boll. Un. Mat. Ital. B , vol.3 , Issue.7 , pp. 533-546
    • Ortega, R.1
  • 9
    • 38249023842 scopus 로고
    • On the number of solutions for the forced pendulum equation
    • Tarantello G. On the number of solutions for the forced pendulum equation. J. Differential Equations. 80:1989;79-93.
    • (1989) J. Differential Equations , vol.80 , pp. 79-93
    • Tarantello, G.1
  • 10
    • 0000142506 scopus 로고
    • Existence of asymptotically stable periodic solutions of a forced equation of Lienard type
    • Zitan A., Ortega R. Existence of asymptotically stable periodic solutions of a forced equation of Lienard type. Nonlinear Anal. TMA. 22(8):1994;993-1003.
    • (1994) Nonlinear Anal. TMA , vol.22 , Issue.8 , pp. 993-1003
    • Zitan, A.1    Ortega, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.