Publication Cover
Applicable Analysis
An International Journal
Volume 50, 1993 - Issue 1-2
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Original Articles

The study of a nonlinear suspension bridge equation by a variational reduction method

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Pages 73-92 | Received 06 Feb 1992, Published online: 02 May 2007

References

  • Amann , H. 1979 . Saddle points and multiple solutions of differential equations . Math. Z. , : 127 – 166 .
  • Ambrosetti , A. and Rabinowitz , P.H. 1973 . Dual variational methods in critical point theory and applications . J. funct. Analysis , 14 : 349 – 381 .
  • Castro , A. and Lazer , A.C. 1979 . Applications of a max-min principle . Rev. Colombiana Mat. , 10 : 141 – 149 .
  • Lazer , A.C. , Landesman , E.M. and Meyers , D. 1975 . On saddle point problems in the calculus of variations, the Ritz algorithm, and monotone convergence . J. Math. Anal. Appl. , 52 : 594 – 614 .
  • Lazer , A.C. and McKenna , P.J. 1986 . Critical points theory and boundary value problems with nonlinearities crossing multiple eigenvalues II . Comm. in P.D.E. , 11 ( 15 ) : 1653 – 1676 .
  • McKenna , P.J. and Walter , W. 1987 . Nonlinear Oscillations in a Suspension Bridge . Archive for Rational Mechanics and Analysis , 98 ( 2 ) : 167 – 177 .
  • Rabinowitz , P.H. 1988 . “ Minimax methods in critical point theory with applications to differential equations ” . In Conference board of th mathematical sciences regional conference series in mathematics , Vol. 65 , A.M.S. .

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