Existence result and numerical method for nonlinear third-order two-point boundary value problems

Wei Jiang; Minggen Cui

Existence result and numerical method for nonlinear third-order two-point boundary value problems

Wei Jiang^*
, Minggen Cui

^*Corresponding author for this work

Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

Abstract

In this study, we present the existence of solution for nonlinear thirdorder differential equation with two-point boundary value conditions under more easily verified conditions than the conditions found in the literature. Reproducing kernel theorem play an important role in the arguments. And we give a constructive method for solving these problems, the numerical examples are given to illustrate the applicability and efficiency of the novel method.

Original language	English
Pages (from-to)	2887-2898
Number of pages	12
Journal	Applied Mathematical Sciences
Volume	3
Issue number	57-60
State	Published - 2009
Externally published	Yes

Keywords

Existence
Reproducing kernel theorem
Two-point boundary value conditions

Cite this

@article{f7e0204d30ef4153a9b3f5fd734490ee,

title = "Existence result and numerical method for nonlinear third-order two-point boundary value problems",

abstract = "In this study, we present the existence of solution for nonlinear thirdorder differential equation with two-point boundary value conditions under more easily verified conditions than the conditions found in the literature. Reproducing kernel theorem play an important role in the arguments. And we give a constructive method for solving these problems, the numerical examples are given to illustrate the applicability and efficiency of the novel method.",

keywords = "Existence, Reproducing kernel theorem, Two-point boundary value conditions",

author = "Wei Jiang and Minggen Cui",

year = "2009",

language = "英语",

volume = "3",

pages = "2887--2898",

journal = "Applied Mathematical Sciences",

issn = "1312-885X",

publisher = "Hikari Ltd.",

number = "57-60",

}

TY - JOUR

T1 - Existence result and numerical method for nonlinear third-order two-point boundary value problems

AU - Jiang, Wei

AU - Cui, Minggen

PY - 2009

Y1 - 2009

N2 - In this study, we present the existence of solution for nonlinear thirdorder differential equation with two-point boundary value conditions under more easily verified conditions than the conditions found in the literature. Reproducing kernel theorem play an important role in the arguments. And we give a constructive method for solving these problems, the numerical examples are given to illustrate the applicability and efficiency of the novel method.

AB - In this study, we present the existence of solution for nonlinear thirdorder differential equation with two-point boundary value conditions under more easily verified conditions than the conditions found in the literature. Reproducing kernel theorem play an important role in the arguments. And we give a constructive method for solving these problems, the numerical examples are given to illustrate the applicability and efficiency of the novel method.

KW - Existence

KW - Reproducing kernel theorem

KW - Two-point boundary value conditions

UR - https://www.scopus.com/pages/publications/77950966253

M3 - 文章

AN - SCOPUS:77950966253

SN - 1312-885X

VL - 3

SP - 2887

EP - 2898

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

IS - 57-60

ER -

Existence result and numerical method for nonlinear third-order two-point boundary value problems

Abstract

Keywords

Other files and links

Fingerprint

Cite this