MINIMAL AND MAXIMAL SOLUTIONS FOR INTEGRAL BOUNDARY VALUE PROBLEMS FOR THE SECOND ORDER DIFFERENTIAL EQUATIONS WITH DEVIATING ARGUMENTS

被引：0

作者：

Szatanik, Wawrzyniec ^{[1
]}

机构：

[1] Gdansk Univ Technol, Dept Differential Equat, PL-80952 Gdansk, Poland

来源：

DYNAMIC SYSTEMS AND APPLICATIONS | 2010年 / 19卷 / 01期

关键词：

equations with deviating arguments; monotone iterations; solutions; convergence; boundary value problems; integral boundary conditions; CONSTRUCTING EXTREMAL SOLUTIONS; MONOTONE METHOD;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with boundary value problems for the second order differential equations with deviating arguments and integral boundary conditions. Sufficient conditions are formulated under which such a problem has at least one solution. A monotone iterative method is used. Example with numerical result is included to illustrate scheme used in the main theorem.

引用

页码：87 / 96

页数：10

共 16 条

[1] The method of lower and upper solutions for a bending of an elastic beam equation [J].

Bai, ZB .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 248 (01) :195-202

[2] Periodic boundary value problem for the second-order impulsive functional differential equations [J].

Ding, W ;

Han, M ;

Mi, JR .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2005, 50 (3-4) :491-507

[3] Periodic boundary value problems for the second order functional differential equations [J].

Ding, W ;

Han, MA ;

Yan, JR .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 298 (01) :341-351

[4] Upper and lower solution methods for fully nonlinear boundary value problems [J].

Ehme, J ;

Eloe, PW ;

Henderson, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 180 (01) :51-64

[5] Solvability of three point boundary value problems for second order differential equations with deviating arguments [J].

Jankowski, T .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 312 (02) :620-636

[6] Differential equations with integral boundary conditions [J].

Jankowski, T .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2002, 147 (01) :1-8

[7] Second-order differential equations with deviating arguments [J].

Jankowski, T. ;

Szatanik, W. .

BOUNDARY VALUE PROBLEMS, 2006, 2006 (1)

[8]

Jiang DQ, 2003, DYNAM CONT DIS SER A, V10, P515

[9] A monotone method for constructing extremal solutions to fourth-order periodic boundary value problems [J].

Jiang, DQ ;

Gao, WJ ;

Wan, A .

APPLIED MATHEMATICS AND COMPUTATION, 2002, 132 (2-3) :411-421

[10] 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

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