Monotone and numerical-analytic methods for differential equations

被引：10

作者：

Jankowski, T ^{[1
]}

机构：

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

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 45卷 / 12期

关键词：

lower and upper solutions; monotone iterations; convergence; numerical-analytic method; existence of solutions;

D O I：

10.1016/S0898-1221(03)90003-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The method of lower and upper solutions combined with monotone iterative techniques is used for ordinary differential equations with integral boundary conditions showing the existence of extremal solutions. Some existence results are also formulated using the numerical-analytic method. Sufficient conditions for existence are given. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：1823 / 1828

页数：6

共 9 条

[1]

[Anonymous], 1994, DYNAMICAL SYSTEMS AP

[2] ON MONOTONE ITERATIVE METHOD FOR PERIODIC BOUNDARY-VALUE-PROBLEMS OF NONLINEAR INTEGRODIFFERENTIAL EQUATIONS [J].

CHEN, YB ;

ZHUANG, W .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 22 (03) :295-303

[3]

DENISENKO PN, 1978, DOPOV AKAD NAUK A, P390

[4]

Ladde GS., 1985, MONOTONE ITERATIVE T

[5] Boundary value problems for impulsive first order integro-differential equations of Fredholm type [J].

Liz, E ;

Nieto, JJ .

ACTA MATHEMATICA HUNGARICA, 1996, 71 (1-2) :155-170

[6]

Ronto M. I., 2000, Numerical-Analytic Methods in the Theory of Boundary-Value Problems

[7]

Samoilenko A. M., 1986, NUMERICAL ANAL METHO

[8]

SAMOILENKO AM, 1991, DOKL AKAD NAUK+, V4, P34

[9]

SAMOILENKO AM, 1991, UKR MAT ZH, V9, P1231

← 1 →