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Volumn 63, Issue 1, 1999, Pages 37-49

Multiple periodic solutions for a nonlinear suspension bridge equation

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; NONLINEAR SYSTEMS; NUMERICAL METHODS; ORDINARY DIFFERENTIAL EQUATIONS; OSCILLATIONS;

EID: 0033169505     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/63.1.37     Document Type: Article
Times cited : (23)

References (14)
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    • The study of a nonlinear suspension bridge equation by a variational reduction method
    • CHOI, Q. H. & JUNG, T. 1993 The study of a nonlinear suspension bridge equation by a variational reduction method. Applicable Analysis 50, 73-92.
    • (1993) Applicable Analysis , vol.50 , pp. 73-92
    • Choi, Q.H.1    Jung, T.2
  • 2
    • 0026386159 scopus 로고
    • The structure of the solution set for periodic oscillations in a suspension bridge model
    • CHOI, Y. S., JEN, K. C., & MCKENNA, P. J. 1991 The structure of the solution set for periodic oscillations in a suspension bridge model. IMA J. Appl. Math. 47, 283-306.
    • (1991) IMA J. Appl. Math. , vol.47 , pp. 283-306
    • Choi, Y.S.1    Jen, K.C.2    McKenna, P.J.3
  • 3
    • 0000691408 scopus 로고
    • Periodic solutions of a nonlinear wave equation without assumptions of monotonicity
    • CORON, J. M. 1983 Periodic solutions of a nonlinear wave equation without assumptions of monotonicity. Math. Ann. 262, 273-285.
    • (1983) Math. Ann. , vol.262 , pp. 273-285
    • Coron, J.M.1
  • 5
    • 0030105497 scopus 로고    scopus 로고
    • A piecewise linear suspension bridge model: Nonlinear dynamics and orbit continuation
    • DOOLE, S. H. & HOGAN, S. J. 1996 A piecewise linear suspension bridge model: Nonlinear dynamics and orbit continuation. Dynamics and Stability of Systems 11, 19-47.
    • (1996) Dynamics and Stability of Systems , vol.11 , pp. 19-47
    • Doole, S.H.1    Hogan, S.J.2
  • 6
    • 85038069149 scopus 로고    scopus 로고
    • The nonlinear dynamics of suspension bridges under harmonic forces
    • to appear
    • DOOLE, S. H. & HOGAN, S. J. (to appear) The nonlinear dynamics of suspension bridges under harmonic forces Z. Angew. Math. Mech (to appear).
    • Z. Angew. Math. Mech
    • Doole, S.H.1    Hogan, S.J.2
  • 7
    • 0031165132 scopus 로고    scopus 로고
    • Numerical mountain pass solutions of a suspension bridge equation
    • HUMPHREYS, L. D. 1997 Numerical mountain pass solutions of a suspension bridge equation. Nonlinear Analysis, TMA 35, 1811-1826.
    • (1997) Nonlinear Analysis, TMA , vol.35 , pp. 1811-1826
    • Humphreys, L.D.1
  • 8
    • 0000401172 scopus 로고
    • Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues II
    • LAZER, A. C. & MCKENNA, P. J. 1986 Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues II. Comm. Part. Diff. Eqns 11, 1653-1676.
    • (1986) Comm. Part. Diff. Eqns , vol.11 , pp. 1653-1676
    • Lazer, A.C.1    McKenna, P.J.2
  • 9
    • 0002255349 scopus 로고
    • A symmetry theorem and applications to nonlinear partial differential equations
    • LAZER, A. C. & MCKENNA, P. J. 1988 A symmetry theorem and applications to nonlinear partial differential equations. J. Diff. Equations 72, 95-106.
    • (1988) J. Diff. Equations , vol.72 , pp. 95-106
    • Lazer, A.C.1    McKenna, P.J.2
  • 10
    • 0025546181 scopus 로고
    • Large-amplitude periodic oscillations in suspension bridges: Some new connections with nonlinear analysis
    • LAZER, A. C. & MCKENNA, P. J. 1990 Large-amplitude periodic oscillations in suspension bridges: some new connections with nonlinear analysis. SIAM Rev. 32, 537-578.
    • (1990) SIAM Rev. , vol.32 , pp. 537-578
    • Lazer, A.C.1    McKenna, P.J.2
  • 11
    • 0028468999 scopus 로고
    • Nonlinear periodic flexing in a floating beam
    • LAZER, A. C. & MCKENNA, P. J. 1994 Nonlinear periodic flexing in a floating beam. J. Comp. Appl. Math. 52, 287-303.
    • (1994) J. Comp. Appl. Math. , vol.52 , pp. 287-303
    • Lazer, A.C.1    McKenna, P.J.2
  • 12
    • 0000571161 scopus 로고
    • On the multiplicity of the solution set of some nonlinear boundary value problems
    • McKENNA, P. J. & WALTER, W. 1984 On the multiplicity of the solution set of some nonlinear boundary value problems. Nonlinear Analysis 8, 893-907.
    • (1984) Nonlinear Analysis , vol.8 , pp. 893-907
    • McKenna, P.J.1    Walter, W.2
  • 13
    • 0023169787 scopus 로고
    • Nonlinear oscillations in a suspension bridge
    • MCKENNA, P. J. & WALTER, W. 1987 Nonlinear oscillations in a suspension bridge. Arch. Rat. Mech. Anal. 98, 167-177.
    • (1987) Arch. Rat. Mech. Anal. , vol.98 , pp. 167-177
    • McKenna, P.J.1    Walter, W.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.