GUIDING FUNCTIONS AND GLOBAL BIFURCATION OF PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL INCLUSIONS WITH INFINITE DELAY

被引：0

作者：

Nguyen Van Loi ^{[1
]}

机构：

[1] PetroVietNam Univ, Long Toan, Ba Ria, Vietnam

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2012年 / 40卷 / 02期

关键词：

Global bifurcation; periodic solution; guiding function; functional differential inclusion;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using the topological degree theory for multivalued maps, we develop the method of guiding functions to deal with the problem of global structure of periodic solutions for functional differential inclusions with infinite delay. As example we consider the global structure of periodic solutions of feedback control systems with infinite delay.

引用

页码：359 / 370

页数：12

共 50 条

[41] Existence Results for Functional Differential Inclusions with Infinite Delay
Shi Huang HONG
Acta Mathematica Sinica(English Series), 2006, 22 (03) : 773 - 780
[42] EXISTENCE OF PERIODIC-SOLUTIONS TO FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
HUANG, QC
SCIENTIA SINICA SERIES A-MATHEMATICAL PHYSICAL ASTRONOMICAL & TECHNICAL SCIENCES, 1985, 28 (03): : 242 - 251
[43] PERIODIC-SOLUTIONS FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH INFINITE LEAD AND DELAY
LI, Y
WANG, HZ
LU, XR
LU, XG
APPLIED MATHEMATICS AND COMPUTATION, 1995, 70 (01) : 1 - 28
[44] Existence of pseudo almost periodic solutions of functional differential equations with infinite delay
Zhang, Liuwei
Xu, Yuantong
APPLICABLE ANALYSIS, 2009, 88 (12) : 1713 - 1726
[45] Stability and almost periodic solutions of neutral functional differential equations with infinite delay
Yuan Rong
Acta Mathematicae Applicatae Sinica, 1998, 14 (1) : 68 - 73
[46] Positive periodic solutions of infinite delay functional differential equations depending on a parameter
Liu, P
Li, YK
APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (01) : 159 - 168
[47] Existence and multiplicity of positive periodic solutions to functional differential equations with infinite delay
School of Sciences, Northeastern University, Shenyang 110004, China
不详
Dongbei Daxue Xuebao, 2007, 5 (757-760):
[48] MULTIPLE PERIODIC SOLUTIONS TO SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH INFINITE DELAY
Lili Gao (Dept.of Math.and Physics
Annals of Applied Mathematics, 2012, (01) : 32 - 37
[49] h-BOUNDEDNESS AND PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
黄启昌
王克
Science Bulletin, 1987, (14) : 947 - 950
[50] MULTIPLE PERIODIC SOLUTIONS TO SECOND ORDER FUNCTIONAL DIFFERENTIAL EQUATION WITH INFINITE DELAY
Lili Gao Deptof Mathand PhysicsBengbu CollegeBengbu Anhui Lianglong Wang School of Mathand Computing ScienceAnhui UniversityHefei
Annals of Differential Equations, 2012, 28 (01) : 32 - 37

← 1 2 3 4 5 →