메뉴 건너뛰기




Volumn 279, Issue 2, 2003, Pages 569-579

Periodic solutions of a nonlinear suspension bridge equation with damping and nonconstant load

Author keywords

Damping; Lyapunov Schmidt reduction; Sign changing periodic solution; Suspension bridge equation

Indexed keywords


EID: 0038521648     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00035-0     Document Type: Article
Times cited : (14)

References (12)
  • 1
    • 0025546181 scopus 로고
    • Large-amplitude periodic oscillations in suspension bridge: Some new connections with nonlinear analysis
    • A.C. Lazer, P.J. McKenna, Large-amplitude periodic oscillations in suspension bridge: some new connections with nonlinear analysis, SIAM Rev. 32 (1990) 537-578.
    • (1990) SIAM Rev. , vol.32 , pp. 537-578
    • Lazer, A.C.1    McKenna, P.J.2
  • 2
    • 0023169787 scopus 로고
    • Nonlinear oscillation in a suspension bridge
    • P.J. McKenna, W. Walter, Nonlinear oscillation in a suspension bridge, Arch. Rational Mech. Anal. 98 (1987) 167-177.
    • (1987) Arch. Rational Mech. Anal. , vol.98 , pp. 167-177
    • McKenna, P.J.1    Walter, W.2
  • 3
    • 84948500288 scopus 로고
    • The study of a nonlinear suspension bridge equation by a variational reduction method
    • Q.H. Choi, T. Jung, P.J. McKenna, The study of a nonlinear suspension bridge equation by a variational reduction method, Appl. Anal. 50 (1995) 71-90.
    • (1995) Appl. Anal. , vol.50 , pp. 71-90
    • Choi, Q.H.1    Jung, T.2    McKenna, P.J.3
  • 4
    • 0033101537 scopus 로고    scopus 로고
    • A nonlinear suspension bridge equation with nonconstant load
    • Q.H. Choi, T. Jung, A nonlinear suspension bridge equation with nonconstant load, Nonlinear Anal. 35 (1999) 649-668.
    • (1999) Nonlinear Anal. , vol.35 , pp. 649-668
    • Choi, Q.H.1    Jung, T.2
  • 5
    • 0037813509 scopus 로고    scopus 로고
    • A nonlinear beam equation with nonconstant loads
    • Q.H. Choi, T. Jung, A nonlinear beam equation with nonconstant loads, Nonlinear Anal. 30 (1997) 5515-5525.
    • (1997) Nonlinear Anal. , vol.30 , pp. 5515-5525
    • Choi, Q.H.1    Jung, T.2
  • 6
    • 0025449481 scopus 로고
    • Traveling waves in a suspension bridge
    • P.J. McKenna, W. Walter, Traveling waves in a suspension bridge, SIAM J. Appl. Math. 50 (1990) 703-715.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 703-715
    • McKenna, P.J.1    Walter, W.2
  • 7
    • 0032095111 scopus 로고    scopus 로고
    • Mathematical analysis of dynamic models of suspension bridge
    • N.U. Ahmed, H. Harbi, Mathematical analysis of dynamic models of suspension bridge, SIAM J. Appl. Math. 58 (1998) 853-874.
    • (1998) SIAM J. Appl. Math. , vol.58 , pp. 853-874
    • Ahmed, N.U.1    Harbi, H.2
  • 8
    • 0031165132 scopus 로고    scopus 로고
    • Numerical Mountain Pass solutions of a suspension bridge equation
    • L.D. Humphreys, Numerical Mountain Pass solutions of a suspension bridge equation, Nonlinear Anal. 28 (1997) 1811-1826.
    • (1997) Nonlinear Anal. , vol.28 , pp. 1811-1826
    • Humphreys, L.D.1
  • 9
    • 0032210611 scopus 로고    scopus 로고
    • Nontrivial solutions for some fourth order semilinear elliptic problems
    • A.M. Micheletti, A. Pistoia, Nontrivial solutions for some fourth order semilinear elliptic problems, Nonlinear Anal. 34 (1998) 509-523.
    • (1998) Nonlinear Anal. , vol.34 , pp. 509-523
    • Micheletti, A.M.1    Pistoia, A.2
  • 10
    • 0032017567 scopus 로고    scopus 로고
    • Multiplicity results for a fourth order semilinear elliptic problem
    • A.M. Micheletti, A. Pistoia, Multiplicity results for a fourth order semilinear elliptic problem, Nonlinear Anal. 31 (1998) 895-908.
    • (1998) Nonlinear Anal. , vol.31 , pp. 895-908
    • Micheletti, A.M.1    Pistoia, A.2
  • 11
    • 84972500515 scopus 로고
    • On the range of wave operators
    • K. Tanaka, On the range of wave operators, Tokyo J. Math. 8 (1985) 377-387.
    • (1985) Tokyo J. Math. , vol.8 , pp. 377-387
    • Tanaka, K.1
  • 12
    • 0038489731 scopus 로고    scopus 로고
    • Multiplicity result for semilinear dissipative hyperbolic equations
    • W.S. Kim, Multiplicity result for semilinear dissipative hyperbolic equations, J. Math. Anal. Appl. 231 (1999) 34-46.
    • (1999) J. Math. Anal. Appl. , vol.231 , pp. 34-46
    • Kim, W.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.