Periodic solutions for a fourth-order equation and applications in a model of structural mechanics

被引：0
|
作者：
Hu, XL [1 ]
Li, JB [1 ]
机构：
[1] Kunming Univ Sci & Technol, Sch Sci, Ctr Nonlinear Sci Studies, Kunming 650093, Yunnan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2004年 / 14卷 / 04期
基金：
中国国家自然科学基金;
关键词：
periodic solutions; structural mechanics;
D O I：
10.1142/S0218127404010011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By developing topological shooting methods, the existence of single-humped periodic solutions and homoclinic orbit for a class of fourth-order ordinary differential equations is obtained, under some general conditions. Using these strict mathematical conclusions to a model of the deflection patterns of elastic struts resting on elastic foundations, the existence of single-humped periodic solutions which have been found by asymptotical and numerical methods is determined. An estimation of the half-period of the periodic solutions is also given.
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页码：1477 / 1488
页数：12
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