On the existence and global bifurcation of periodic solutions to planar differential delay equations

被引：37

作者：

Baptistini, MZ ^{[1
]}

Taboas, PZ ^{[1
]}

机构：

[1] UNIV SAO PAULO,INST CIENCIAS MATEMAT SAO CARLOS,BR-13560970 SAO CARLOS,BRAZIL

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1996年 / 127卷 / 02期

关键词：

D O I：

10.1006/jdeq.1996.0075

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with periodic solutions to one-parameter families of planar differential delay equations. The concept of slowly oscillating periodic solution is extended to this setting and we state the existence of an unbounded continuum of such solutions. (C) 1996 Academic Press, Inc.

引用

页码：391 / 425

页数：35

共 50 条

[1] Existence and bifurcation of periodic solutions of high-dimensional delay differential equations
Han, M
Bi, P
CHAOS SOLITONS & FRACTALS, 2004, 20 (05) : 1027 - 1036
[2] Existence and bifurcation of periodic solutions of three-dimensional delay differential equations
Bi, P
Han, MA
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2004, 14 (11): : 3921 - 3929
[3] ON EXISTENCE AND GLOBAL ATTRACTIVITY OF PERIODIC SOLUTIONS OF NONLINEAR DELAY DIFFERENTIAL EQUATIONS
Qian, Chuanxi
Smith, Justin
OPUSCULA MATHEMATICA, 2019, 39 (06) : 839 - 862
[4] ON STABILITY AND BIFURCATION OF PERIODIC SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS
El-Sheikh, M. M. A.
El-Mahrouf, S. A. A.
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2005, 19 (1-2) : 281 - 295
[5] On stability and bifurcation of periodic solutions of delay differential equations
El-Sheikh M.M.A.
El-Mahrouf S.A.A.
Journal of Applied Mathematics and Computing, 2005, 19 (1-2) : 281 - 295
[6] GLOBAL EXISTENCE OF SOLUTIONS OF DELAY DIFFERENTIAL EQUATIONS
WINSTON, E
JOURNAL OF DIFFERENTIAL EQUATIONS, 1971, 10 (03) : 392 - &
[7] Existence of periodic solutions for a system of delay differential equations
Hsu, Cheng-Hsiung
Yang, Suh-Yuh
Yang, Ting-Hui
Yang, Tzi-Sheng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 6222 - 6231
[8] Global bifurcation of periodic solutions to ordinary differential equations
Ward, JR
JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 142 (01) : 1 - 16
[9] Existence of periodic solutions for delay differential equations with state dependent delay
Arino, O
Hadeler, KP
Hbid, ML
JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 144 (02) : 263 - 301
[10] EXISTENCE AND UNIQUENESS OF PERIODIC-SOLUTIONS OF DIFFERENTIAL DELAY EQUATIONS
INVERNIZZI, S
ZANOLIN, F
MATHEMATISCHE ZEITSCHRIFT, 1978, 163 (01) : 25 - 37

← 1 2 3 4 5 →