On 2nth-order Lidstone boundary value problems

Yuan Ming Wang

doi:10.1016/j.jmaa.2005.03.039

On 2nth-order Lidstone boundary value problems

Yuan Ming Wang^*

^*此作品的通讯作者

数学科学学院

Shanghai Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

24 引用（Scopus）

摘要

This paper is concerned with the solutions of a class of 2nth-order Lidstone boundary value problems. Sufficient conditions for the existence and uniqueness of a solution are given. A monotone iteration is developed so that the iteration sequence converges monotonically to a maximal or a minimal solution. The approach to the problem is by the method of upper and lower solutions with a new maximum principle.

源语言	英语
页（从-至）	383-400
页数	18
期刊	Journal of Mathematical Analysis and Applications
卷	312
期	2
DOI	https://doi.org/10.1016/j.jmaa.2005.03.039
出版状态	已出版 - 15 12月 2005

访问文件

10.1016/j.jmaa.2005.03.039

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{4536e8fe08a545f3a74e1715d79b7281,

title = "On 2nth-order Lidstone boundary value problems",

abstract = "This paper is concerned with the solutions of a class of 2nth-order Lidstone boundary value problems. Sufficient conditions for the existence and uniqueness of a solution are given. A monotone iteration is developed so that the iteration sequence converges monotonically to a maximal or a minimal solution. The approach to the problem is by the method of upper and lower solutions with a new maximum principle.",

keywords = "2nth-Order Lidstone boundary value problem, Existence and uniqueness, Maximum principle, Method of upper and lower solutions",

author = "Wang, \{Yuan Ming\}",

year = "2005",

month = dec,

day = "15",

doi = "10.1016/j.jmaa.2005.03.039",

language = "英语",

volume = "312",

pages = "383--400",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - On 2nth-order Lidstone boundary value problems

AU - Wang, Yuan Ming

PY - 2005/12/15

Y1 - 2005/12/15

N2 - This paper is concerned with the solutions of a class of 2nth-order Lidstone boundary value problems. Sufficient conditions for the existence and uniqueness of a solution are given. A monotone iteration is developed so that the iteration sequence converges monotonically to a maximal or a minimal solution. The approach to the problem is by the method of upper and lower solutions with a new maximum principle.

AB - This paper is concerned with the solutions of a class of 2nth-order Lidstone boundary value problems. Sufficient conditions for the existence and uniqueness of a solution are given. A monotone iteration is developed so that the iteration sequence converges monotonically to a maximal or a minimal solution. The approach to the problem is by the method of upper and lower solutions with a new maximum principle.

KW - 2nth-Order Lidstone boundary value problem

KW - Existence and uniqueness

KW - Maximum principle

KW - Method of upper and lower solutions

UR - https://www.scopus.com/pages/publications/27744488763

U2 - 10.1016/j.jmaa.2005.03.039

DO - 10.1016/j.jmaa.2005.03.039

M3 - 文章

AN - SCOPUS:27744488763

SN - 0022-247X

VL - 312

SP - 383

EP - 400

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

On 2nth-order Lidstone boundary value problems

摘要

访问文件

其它文件与链接

学术指纹

引用此