A PRIORI BOUNDS FOR PERIODIC SOLUTIONS OF NEUTRAL DIFFERENTIAL EQUATIONS WITH DELAY

被引：0

作者：

Li, Jing-Wen ^{[1
]}

Cheng, Sui Sun

机构：

[1] Shaoyang Univ, Dept Math, Shaoyang 422000, Hunan, Peoples R China

来源：

TAMKANG JOURNAL OF MATHEMATICS | 2007年 / 38卷 / 03期

关键词：

Neutral delay equation; a priori bound; continuation theorem; periodic solution;

D O I：

10.5556/j.tkjm.38.2007.76

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A priori bounds are established for periodic solutions of a neutral delay differential equation. Such bounds can be used to establish existence of periodic solutions. The resulting existence results improve some existing ones in the literature.

引用

页码：239 / 246

页数：8

共 50 条

[21] NONLINEAR INTEGRODIFFERENTIAL EQUATIONS AND A PRIORI BOUNDS ON PERIODIC-SOLUTIONS
BURTON, TA
ELOE, PW
ISLAM, MN
ANNALI DI MATEMATICA PURA ED APPLICATA, 1992, 161 : 271 - 283
[22] Computable error bounds for approximate periodic solutions of autonomous delay differential equations
David E. Gilsinn
Nonlinear Dynamics, 2007, 50 : 73 - 92
[23] Computable error bounds for approximate periodic solutions of autonomous delay differential equations
Gilsinn, David E.
NONLINEAR DYNAMICS, 2007, 50 (1-2) : 73 - 92
[24] A PRIORI BOUNDS AND NODAL PROPERTIES FOR PERIODIC-SOLUTIONS TO A CLASS OF ORDINARY DIFFERENTIAL-EQUATIONS
WELSH, SC
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 171 (02) : 395 - 406
[25] Almost Periodic Solutions of Neutral Delay Functional Differential Equations on Time Scales
Meng Hu
Pingli Xie
Bulletin of the Malaysian Mathematical Sciences Society, 2015, 38 : 317 - 331
[26] EXISTENCE OF PERIODIC SOLUTIONS FOR TOTALLY NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DELAY
Yankson, Ernest
OPUSCULA MATHEMATICA, 2012, 32 (03) : 617 - 627
[27] On Bifurcation of Periodic Solutions for Functional Differential Equations of the Neutral Type with Small Delay
Kamenskii, M. I.
Lysakova, Yu. V.
Nistri, P.
AUTOMATION AND REMOTE CONTROL, 2008, 69 (12) : 2027 - 2032
[28] Almost Periodic Solutions of Neutral Delay Functional Differential Equations on Time Scales
Hu, Meng
Xie, Pingli
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2015, 38 (01) : 317 - 331
[29] Periodic solutions and stability in a nonlinear neutral system of differential equations with infinite delay
Mesmouli M.B.
Ardjouni A.
Djoudi A.
Boletín de la Sociedad Matemática Mexicana, 2018, 24 (1) : 239 - 255
[30] ASYMPTOTIC BEHAVIOUR OF SOLUTIONS TO LINEAR NEUTRAL DELAY DIFFERENTIAL EQUATIONS WITH PERIODIC COEFFICIENTS
Frasson, Miguel V. S.
Tacuri, Patricia H.
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2014, 13 (03) : 1105 - 1117

← 1 2 3 4 5 →