Three periodic solutions of nonlinear neutral functional differential equations

被引：13

作者：

Wang, Qi ^{[1
]}

Dai, Binxiang ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2008年 / 9卷 / 03期

基金：

中国国家自然科学基金;

关键词：

neutral functional differential equation; periodic solution; Leggett-Williams fixed point theorem;

D O I：

10.1016/j.nonrwa.2007.01.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a type of nonlinear neutral functional differential equations are considered. Some results on the existence of three positive periodic solutions are obtained by using the Leggett-Williams fixed point theorem. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：977 / 984

页数：8

共 33 条

[1]

[Anonymous], ELECT J DIFFERENTIAL

[2] Functional differential systems with retardation and anticipation [J].

Bhaskar, T. Gnana ;

Lakshmikantham, V. .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2007, 8 (03) :865-871

[3] Positive periodic solutions of neutral Lotka-Volterra system with feedback control [J].

Chen, FD .

APPLIED MATHEMATICS AND COMPUTATION, 2005, 162 (03) :1279-1302

[4]

Cheng S., 2002, ABSTR APPL ANAL, V7, P279, DOI [10.1155/S1085337502000878, DOI 10.1155/S1085337502000878]

[5] EXISTENCE OF PERIODIC-SOLUTIONS OF AUTONOMOUS FUNCTIONAL DIFFERENTIAL EQUATIONS [J].

CHOW, SN .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1974, 15 (02) :350-378

[6]

JIANG D., 2002, Electron. J. Differ. Eq., V2002, P1

[7] On the number of positive periodic solutions of functional differential equations and population models [J].

Jiang, DQ ;

O'Regan, D ;

Agarwal, RP ;

Xu, XJ .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2005, 15 (04) :555-573

[8]

KUANG Y, 1992, CONT MATH, V129, P153

[9] MULTIPLE POSITIVE FIXED-POINTS OF NON-LINEAR OPERATORS ON ORDERED BANACH-SPACES [J].

LEGGETT, RW ;

WILLIAMS, LR .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1979, 28 (04) :673-688

[10] A new existence theory for positive periodic solutions to functional differential equations with impulse effects [J].

Li, Xiaoyue ;

Zhang, Xiaoying ;

Jiang, Daqing .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 51 (12) :1761-1772

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