A MONOTONE METHOD FOR FOURTH ORDER PERIODIC BOUNDARY VALUE PROBLEMS AND PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Zuo, Wenjie ^{[1
]}

Jiang, Daqing ^{[2
]}

O'Regan, Donal ^{[3
]}

Agarwal, R. P. ^{[4
]}

机构：

[1] Jilin Univ, Sch Math Sci, Changchun 130021, Jilin, Peoples R China

[2] Northeast Normal Univ, Dept Math, Changchun 130024, Jilin, Peoples R China

[3] Natl Univ Ireland, Dept Math, Galway, Ireland

[4] Florida Inst Technol, Dept Mat Sci, Melbourne, FL 32901 USA

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2005年 / 12卷 / 01期

关键词：

Periodic boundary value problem; Periodic solution; Existence; Upper and lower solutions; Monotone iterative technique;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that the monotone iterative technique yields two monotone sequences that converge uniformly to extremal solutions of fourth order periodic boundary value problems and periodic solutions of functional differential equations.

引用

页码：19 / 27

页数：9

共 15 条

[1] Restrictions and unfolding of double Hopf bifurcation in functional differential equations [J].

Buono, PL ;

Bélair, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 189 (01) :234-266

[2] THE METHOD OF LOWER AND UPPER SOLUTIONS FOR 2ND, 3RD, 4TH, AND HIGHER-ORDER BOUNDARY-VALUE-PROBLEMS [J].

CABADA, A .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 185 (02) :302-320

[3] Maximum principles for fourth and sixth order periodic boundary value problems [J].

Cabada, A ;

Lois, S .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 29 (10) :1161-1171

[4] PERIODIC BOUNDARY-VALUE-PROBLEMS AND MONOTONE ITERATIVE METHODS FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS [J].

HADDOCK, JR ;

NKASHAMA, MN .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (03) :267-276

[5]

Jiang D., 2001, ANN POL MATH, V76, P279

[6] On monotone method for first and second order periodic boundary value problems and periodic solutions of functional differential equations [J].

Jiang, DQ ;

Nieto, JJ ;

Zuo, WJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 289 (02) :691-699

[7] Monotone method for first- and second-order periodic boundary value problems and periodic solutions of functional differential equations [J].

Jiang, DQ ;

Wei, JJ .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (07) :885-898

[8]

Ladde G. S., 1985, MONOTONE ITERATIVE T

[9] PERIODIC BOUNDARY-VALUE PROBLEM FOR DIFFERENTIAL-EQUATIONS WITH DELAY AND MONOTONE ITERATIVE METHOD [J].

LEELA, S ;

OGUZTORELI, MN .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1987, 122 (02) :301-307

[10] Periodic boundary value problems for a class of functional differential equations [J].

Liz, E ;

Nieto, JJ .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1996, 200 (03) :680-686

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