Existence and Uniqueness Theorems for Certain Fourth-order Boundary Value Problems

被引：0

作者：

Minghe, Pei ^{[1
]}

Chang, Sung Kag ^{[2
]}

机构：

[1] Bei Hua Univ, Dept Math, Jilin 132012, Jilin, Peoples R China

[2] Yeungnam Univ, Dept Math, Gyongsan 712749, South Korea

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2005年 / 45卷 / 03期

关键词：

fourth-order nonlinear differential equations; two-point boundary value problem; existence; uniqueness;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, by using the Leray-Schauder continuation theorem and Wirtinger-type inequalities, we establish the existence and uniqueness theorems for two-point boundary value problems of a certain class of fourth-order nonlinear differential equations.

引用

页码：349 / 356

页数：8

共 8 条

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[2]

Bonanno G., 1994, APPL ANAL, V55, P185

[3]

Gupta C. P., 1988, Applicable Analysis, V26, P289, DOI 10.1080/00036818808839715

[4]

GUPTA C. P, 1990, APPL ANAL, V36, P157

[5]

Mawhin J., 1979, NSF CBMS REGIONAL C, V40

[6]

Pei M., 2001, KYUNGPOOK MATH J, V41, P299

[7] UNIQUENESS THEOREM FOR A BOUNDARY-VALUE PROBLEM [J].

USMANI, RA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1979, 77 (03) :329-335

[8] 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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