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.

引用

页码：1477 / 1488

页数：12

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