Periodic Solutions for a Class of n-th Order Functional Differential Equations

被引：3

作者：

Song, Bing ^{[1
,2
]}

Pan, Lijun ^{[3
]}

Cao, Jinde ^{[1
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210096, Peoples R China

[2] JiangSu Inst Econ Trade Technol, Nanjing 211168, Peoples R China

[3] Jia Ying Univ, Sch Math, Meizhou 514015, Guangdong, Peoples R China

来源：

INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 2011卷

关键词：

D O I：

10.1155/2011/916279

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of periodic solutions for n-th order functional differential equations x((n)) (t) = Sigma(n-1)(i=0) b(i)[x((i)) (t)](k) + f(x(t - tau(t))) +p(t). Some new results on the existence of periodic solutions of the equations are obtained. Our approach is based on the coincidence degree theory of Mawhin.

引用

页数：21

共 25 条

[1]

Chen X. R., 2009, INT J PURE APPL MATH, V55, P319

[2]

Cong FH, 1998, NONLINEAR ANAL-THEOR, V32, P787

[3] Existence of periodic solutions of (2n+1)th-order ordinary differential equations [J].

Cong, FZ .

APPLIED MATHEMATICS LETTERS, 2004, 17 (06) :727-732

[4]

Cong FZ, 2000, J MATH ANAL APPL, V241, P1

[5]

Ezeilo J. O. C., 1960, P CAMBRIDGE PHILOS S, V56, P381

[6] A MULTIPLICITY RESULT FOR PERIODIC-SOLUTIONS OF FORCED NONLINEAR 2ND-ORDER ORDINARY DIFFERENTIAL-EQUATIONS [J].

FABRY, C ;

MAWHIN, J ;

NKASHAMA, MN .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1986, 18 :173-180

[7]

Gaines R. E., 1977, Coincidence degree, and nonlinear differential equations

[8]

Jiao G., 2004, J MATH ANAL APPL, V272, P691

[9] On periodic solutions of systems of differential equations with deviating arguments [J].

Kiguradze, I ;

Puza, B .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 42 (02) :229-242

[10]

[刘炳文 Liu Bingwen], 2004, [数学学报, Acta Mathematica Sinica], V47, P1133

← 1 2 3 →