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Original Articles

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

Choi Q-Heung Department of Mathematics, The University of Connecticut, Storrs, CT, 06268

,

Jung Tacksun Department of Mathematics, The University of Connecticut, Storrs, CT, 06268

&

Patrick J. Mckenna Department of Mathematics, The University of Connecticut, Storrs, CT, 06268

Abstract

Let L _u = u_tt + u_xxxx and H be the complete normed space spanned by the eigenfunction of L. A nonlinear suspension bridge equation (3 < b < 15)

in H

has at least three solutions. It is shown by a variational reduction method.

Keywords:

¹Research supported in part by GARC from Seoul National University.

²Research supported in part by grant DMS-8722532 from the National Science Foundation.

¹Research supported in part by GARC from Seoul National University.

²Research supported in part by grant DMS-8722532 from the National Science Foundation.

Notes

¹Research supported in part by GARC from Seoul National University.

²Research supported in part by grant DMS-8722532 from the National Science Foundation.

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