EXISTENCE OF PERIODIC SOLUTIONS FOR TOTALLY NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH FUNCTIONAL DELAY

被引：2

作者：

Yankson, Ernest ^{[1
]}

机构：

[1] Univ Cape Coast, Dept Math & Stat, Cape Coast, Ghana

来源：

OPUSCULA MATHEMATICA | 2012年 / 32卷 / 03期

关键词：

fixed point; large contraction; periodic solution; totally nonlinear neutral equation;

D O I：

10.7494/OpMath.2012.32.3.617

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use a variant of Krasnoselskii's fixed point theorem by T. A. Burton to show that the nonlinear neutral differential equation with functional delay x'(t) = -a (t) h(x (t)) + c(t) x'(t - g(t)) + q(t, x (t), x(t - g (t)) has a periodic solution.

引用

页码：617 / 627

页数：11

共 50 条

[21] EXISTENCE OF PERIODIC SOLUTIONS TO FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
黄启昌
[J]. Science in China,SerA., 1985, Ser.A.1985 (03) : 242 - 251
[22] EXISTENCE OF PERIODIC SOLUTIONS TO FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
黄启昌
[J]. Science China Mathematics, 1985, (03) : 242 - 251
[23] PERIODIC SOLUTIONS TO NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Jiabu Dishen
[J]. Annals of Applied Mathematics, 2014, (04) : 394 - 397
[24] Periodic solutions of neutral functional differential equations with infinite delay
Fan, M
Wang, K
Agarwal, RP
[J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2005, 12 (01): : 129 - 137
[25] Periodic solutions in nonlinear neutral difference equations with functional delay
Maroun, MR
Raffoul, YN
[J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2005, 42 (02) : 255 - 268
[26] Existence and uniqueness of periodic solutions for a system of nonlinear neutral functional differential equations with two functional delays
Mesmouli M.B.
Ardjouni A.
Djoudi A.
[J]. Rendiconti del Circolo Matematico di Palermo (1952 -), 2014, 63 (3): : 409 - 424
[27] On the existence of quasi periodic and almost periodic solutions of neutral functional differential equations
Man, NM
Van Minh, N
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2004, 3 (02) : 291 - 300
[28] EXISTENCE OF PERIODIC SOLUTIONS AND STABILITY FOR A NONLINEAR SYSTEM OF NEUTRAL DIFFERENTIAL EQUATIONS
Li, Yang
Chen, Guiling
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (21) : 1 - 21
[29] The existence of periodic solutions for a class of nonlinear functional differential equations
Liu, Jin-Zhi
Jiang, Zhi-Yuan
Wu, Ai-Xiang
[J]. APPLICATIONS OF MATHEMATICS, 2008, 53 (02) : 97 - 103
[30] The existence of periodic solutions for a class of nonlinear functional differential equations
Jin-Zhi Liu
Zhi-Yuan Jiang
Ai-Xiang Wu
[J]. Applications of Mathematics, 2008, 53 : 97 - 103

← 1 2 3 4 5 →