LARGE-AMPLITUDE PERIODIC OSCILLATIONS IN SUSPENSION BRIDGES - SOME NEW CONNECTIONS WITH NONLINEAR-ANALYSIS

被引：577

作者：

LAZER, AC ^{[1
]}

MCKENNA, PJ ^{[1
]}

机构：

[1] UNIV CONNECTICUT,STORRS,CT 06268

来源：

SIAM REVIEW | 1990年 / 32卷 / 04期

关键词：

D O I：

10.1137/1032120

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper surveys an area of nonlinear functional analysis and its applications. The main application is to the existence and multiplicity of periodic solutions of a possible mathematical models of nonlinearly supported bending beams, and their possible application to nonlinear behavior as observed in large-amplitude flexings in suspension bridges. A second area, periodic flexings in a floating beam, also nonlinearly supported, is covered at the end of the paper.

引用

页码：537 / 578

页数：42

共 57 条

[11] MULTIPLE SOLUTIONS FOR SOME SEMILINEAR ELLIPTIC-EQUATIONS
CAFAGNA, V
TARANTELLO, G
[J]. MATHEMATISCHE ANNALEN, 1987, 276 (04) : 643 - 656
[12] Castro A., 1980, DIFF EQUAT, P149, DOI 10.1016/B978-0-12-045550-8.50017-7
[13] CASTRO A, IN PRES J MATH ANAL
[14] Castro A., 1979, ANN MAT PUR APPL, V70, P113
[15] CHOI QH, IN PRESS DIFFERENTIA
[16] A COUNTEREXAMPLE TO THE LAZER-MCKENNA CONJECTURE
DANCER, EN
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1989, 13 (01) : 19 - 21
[17] DANCER EN, 1978, J MATH PURE APPL, V57, P351
[18] DOLPH CL, 1949, T AM MATH SOC, V60, P289
[19] Gallouet Th., 1981, ANN FS TOULOUSE MATH, V5, P201
[20] GLOVER J, 1989, ZAMP, V40, P171

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