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
收藏
页码：1477 / 1488
页数：12
相关论文
共 50 条
  • [1] PERIODIC SOLUTIONS OF FOURTH-ORDER DELAY DIFFERENTIAL EQUATION
    Balamuralitharan, S.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2015, 41 (02): : 307 - 314
  • [2] On the existence of periodic solutions to a fourth-order p-Laplacian differential equation with a deviating argument
    Wang, Zhengxin
    Qian, Longxia
    Lu, Shiping
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (03) : 1660 - 1669
  • [3] Periodic solutions of nonlocal semilinear fourth-order differential equations
    Ma, Ruyun
    Dai, Guowei
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (15) : 5023 - 5029
  • [4] Existence of periodic solutions of fourth-order nonlinear difference equations
    Haiping Shi
    Xia Liu
    Yuanbiao Zhang
    Xiaoqing Deng
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2014, 108 : 811 - 825
  • [5] Periodic solutions for fourth-order nonlinear functional difference equations
    Liu, Xia
    Zhang, Yuanbiao
    Shi, Haiping
    Deng, Xiaoqing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (01) : 1 - 10
  • [6] Periodic solutions for a class of fourth-order nonlinear differential equations
    Zhao, Changhong
    Chen, Wei
    Zhou, Jinglei
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1221 - 1226
  • [7] Periodic solutions of some fourth-order nonlinear differential equations
    Fan, Qiyi
    Wang, Wentao
    Zhou, Jinglei
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) : 121 - 126
  • [8] Existence of periodic solutions of fourth-order nonlinear difference equations
    Shi, Haiping
    Liu, Xia
    Zhang, Yuanbiao
    Deng, Xiaoqing
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2014, 108 (02) : 811 - 825
  • [9] Periodic solutions of some fourth-order nonlinear differential equations
    Bereanu, Cristian
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (1-2) : 53 - 57
  • [10] Two homoclinic solutions of a nonperiodic fourth-order impulsive differential equation
    Kong, Fanchao
    QUAESTIONES MATHEMATICAE, 2019, 42 (04) : 501 - 516
12345