Existence of periodic solutions for fully nonlinear first-order differential equations

被引：3

作者：

Li, DS ^{[1
]}

Liang, YT

机构：

[1] Yantai Univ, Dept Math & Informat, Shandong 264005, Peoples R China

[2] Lanzhou Teachers Coll, Dept Math, Lanzhou 730070, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2003年 / 52卷 / 04期

关键词：

existence; periodic solution; fully nonlinear; differential equation; viscosity solutions method;

D O I：

10.1016/S0362-546X(02)00153-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish some existence results for periodic solutions of fully nonlinear first-order scalar differential equation: F(t,x,x') = 0. The approach here uses the viscosity solutions method developed in recent decades and the classical upper-lower solutions method. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1095 / 1109

页数：15

共 50 条

[1] Anti-periodic solutions for fully nonlinear first-order differential equations
Chen, Yuqing
Nieto, Juan J.
O'Regan, Donal
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2007, 46 (9-10) : 1183 - 1190
[2] The existence of periodic solutions for nonlinear systems of first-order differential equations at resonance
Shi-wang M.A.
Zhi-cheng W.
Yu Jian-she
[J]. Applied Mathematics and Mechanics, 2000, 21 (11) : 1282 - 1291
[3] The existence of periodic solutions for nonlinear systems of first-order differential equations at resonance
Ma, SW
Wang, ZC
Yu, JS
[J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2000, 21 (11) : 1282 - 1291
[4] Existence of positive periodic solutions of nonlinear first-order delayed differential equations
Ma, Ruyun
Chen, Ruipeng
Chen, Tianlan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 384 (02) : 527 - 535
[5] THE EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR SYSTEMS OF FIRST-ORDER DIFFERENTIAL EQUATIONS AT RESONANCE
马世旺
王志成
庾建设
[J]. Applied Mathematics and Mechanics(English Edition), 2000, (11) : 1282 - 1291
[6] Periodic solutions of first-order nonlinear functional differential equations
Tang, X. H.
Jiang, Zhiyuan
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (04) : 845 - 861
[7] Existence of positive periodic solutions of first-order neutral differential equations
Candan, Tuncay
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (01) : 205 - 209
[8] EXISTENCE OF POSITIVE PERIODIC SOLUTIONS OF FIRST-ORDER NEUTRAL DIFFERENTIAL EQUATIONS
Rezaiguta, Ali
Ardjouni, Abdelouaheb
Djoudi, Ahcene
[J]. HONAM MATHEMATICAL JOURNAL, 2018, 40 (01): : 1 - 11
[9] Existence of 2π-periodic solutions for nonlinear systems of first-order ordinary differential equations at resonance
[J]. Nonlinear Anal Theory Methods Appl, 1 (01):
[10] Existence of periodic solutions for first-order totally nonlinear neutral differential equations with variable delay
Ardjouni, Abdelouaheb
Djoudi, Ahcene
[J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2014, 55 (02): : 215 - 225

← 1 2 3 4 5 →