Positive periodic solutions for a neutral differential system with feedback control

被引：8

作者：

Liu, Guirong ^{[1
]}

Yan, Jurang ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Shanxi 030006, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2006年 / 52卷 / 3-4期

基金：

中国国家自然科学基金;

关键词：

positive periodic solution; neutral differential system; feedback control; fixed-point theorem; strict-set-contraction;

D O I：

10.1016/j.camwa.2006.03.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Applying a fixed-point theorem of strict-set-contractions, some new criteria are established for the existence of positive periodic solutions of the following neutral differential system with feedback control dx(t)/dt = x(t) [r(t)-a(o)(t)x(t)-a(1)(t)x(t-sigma(1)(t))-a(2)(t)x'(t-sigma(2)(t))-beta(t)u(t-(T1)(t))] du(t)/dt = -a(t)u(t)+b(t)x(t-(T2)(t)). (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：401 / 410

页数：10

共 18 条

[1]

[Anonymous], 1988, Real analysis

[2] FIXED-POINT THEOREMS FOR MAPPINGS IN ORDERED BANACH-SPACES [J].

CAC, NP ;

GATICA, JA .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 71 (02) :547-557

[3] The existence of positive periodic solutions for periodic feedback control systems with delays [J].

Fan, GH ;

Li, YK ;

Qin, MC .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2004, 84 (06) :425-430

[4]

Gopalsamy K., 2013, Stability and Oscillations in Delay Differential Equations of Population Dynamics, V74

[5]

GOPALSAMY K, 1993, J MATH MATH SCI, V1, P177

[6]

Guo D. J., 2001, Nonlinear Functional Analysis, Vsecond

[7]

Khamsi MA, 2011, An Introduction to Metric Spaces and Fixed Point Theory

[8]

Kuang Y., 1993, DELAY DIFFERENTIAL E

[9] Positive periodic solutions for a periodic neutral differential equation with feedback control [J].

Li, YK .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2005, 6 (01) :145-154

[10] Positive periodic solutions of a class of functional differential systems with feedback controls [J].

Li, YK ;

Liu, P ;

Zhu, LF .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (5-6) :655-666

← 1 2 →