Electron. J. Diff. Equ., Vol. 2009(2009), No. 119, pp. 1-12.

Unbounded upper and lower solution method for third-order boundary-value problems on the half-line

Chuanzhi Bai, Chunhong Li

Abstract:
In this article, we prove the existence of unbounded upper and lower solutions of third-order boundary-value problems on the half-line. Here the Nagumo conditions play an important role in the nonlinear term involved in the second-order derivatives.

Submitted April 4, 2009. Published September 27, 2009.
Math Subject Classifications: 34B15, 34B40.
Key Words: Upper and lower solutions; third-order boundary-value problem; half-line; Nagumo-condition

Show me the PDF file (231 KB), TEX file, and other files for this article.

Chuanzhi Bai
Department of Mathematics, Huaiyin Normal University
Huaian, Jiangsu 223300, China
email: czbai8@sohu.com
Chunhong Li
Department of Mathematics, Huaiyin Normal University
Huaian, Jiangsu 223300, China.
Department of Mathematics, Yanbian University
Yanji, Jilin 133002, China
email: lichshy2006@126.com

Return to the EJDE web page