Existence of solutions. for 2n-order boundary value problem

被引：11

作者：

Yang, XJ ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Math, Beijing 100084, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 137卷 / 01期

关键词：

boundary value problem; upper and lower solutions;

D O I：

10.1016/S0096-3003(02)00086-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss the existence of solutions for the 2n-order boundary value problem (-l)(n)u((2n))(t) = f(t, u(t), u"(t),...,u((2n-2))(t)), 0 < t < 1, u((2i))(0) = u((2i))(1) = 0, i = 0, 1,..., n-1, where f : [0,1] x R-n --> R is continuous. (C) 2002 Elsevier Science Inc. All rights reserved.

引用

页码：77 / 87

页数：11

共 6 条

[1] EXISTENCE AND UNIQUENESS THEOREMS FOR 4TH-ORDER BOUNDARY-VALUE-PROBLEMS [J].

AFTABIZADEH, AR .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 116 (02) :415-426

[2] 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

[3] 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

[4] EXISTENCE FOR A 4TH-ORDER BOUNDARY-VALUE PROBLEM UNDER A 2-PARAMETER NONRESONANCE CONDITION [J].

DELPINO, MA ;

MANASEVICH, RF .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1991, 112 (01) :81-86

[5]

Ma RY, 1997, J MATH ANAL APPL, V215, P415

[6] 4TH-ORDER 2-POINT BOUNDARY-VALUE PROBLEMS [J].

YANG, YS .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 104 (01) :175-180

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