Existence of periodic solutions for a kind of second-order neutral functional differential equation

被引：26

作者：

Lu, SP ^{[1
]}

Ge, WG

机构：

[1] Anhui Normal Univ, Dept Math, Wuhu 241000, Anhui, Peoples R China

[2] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 157卷 / 02期

基金：

中国国家自然科学基金;

关键词：

periodic solution; continuation theorem; neutral functional differential equation;

D O I：

10.1016/j.amc.2003.08.044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By means of the continuation theorem of coincidence degree theory, we study a kind of second-order neutral functional differential equation as follows d(2)/dt(2) (u(t) - Sigma(j=1)(n)cju(t - r(j))) = f(u(t))u(1)(t) + alpha(t)g(u(t)) +Sigma(j=1)(n)beta(j)(t)g(u(t - y(j)(t)) + p(t). Some new results on the existence of periodic solutions are obtained. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：433 / 448

页数：16

共 15 条

[1] THE LERAY-SCHAUDER DEGREE OF S1-EQUIVARIANT OPERATORS ASSOCIATED TO AUTONOMOUS NEUTRAL EQUATIONS IN SPACES OF PERIODIC-FUNCTIONS [J].

BARTSCH, T ;

MAWHIN, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 92 (01) :90-99

[2] Periodic solutions of convex neutral functional differential equations [J].

Fan, M ;

Wang, K .

TOHOKU MATHEMATICAL JOURNAL, 2000, 52 (01) :47-59

[3]

Gaines RE, 1977, COINCIDENCE DEGREE N, DOI DOI 10.1007/BFB0089537

[4]

Hale J. K., 1977, Applied Mathematical Sciences, V3

[5] COINCIDENCE DEGREE AND PERIODIC-SOLUTIONS OF NEUTRAL EQUATIONS [J].

HALE, JK ;

MAWHIN, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1974, 15 (02) :295-307

[6] PERIODIC-SOLUTIONS OF NON-LINEAR DELAY EQUATIONS [J].

LAYTON, W .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 77 (01) :198-204

[7]

LU S, IN PRESS APPL MATH L

[8] Existence of positive periodic solutions for neutral functional differential equations with deviating arguments [J].

Lu S. ;

Ge W. .

Applied Mathematics-A Journal of Chinese Universities, 2002, 17 (4) :382-390

[9]

[鲁世平 Lu Shiping], 2002, [数学学报, Acta Mathematica Sinica], V45, P811

[10] Periodic solutions for a kind of second order differential equation with multiple deviating arguments [J].

Lu, SP ;

Ge, WG .

APPLIED MATHEMATICS AND COMPUTATION, 2003, 146 (01) :195-209

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