Electron. J. Diff. Equ., Vol. 2012 (2012), No. 118, pp. 1-7.

Multiple positive solutions for a third-order three-point BVP with sign-changing Green's function

Jian-Ping Sun, Juan Zhao

Abstract:
This article concerns the third-order three-point boundary-value problem
$$\displaylines{ u'''(t)=f(t,u(t)),\quad t\in [0,1], \cr u'(0)=u(1)=u''(\eta)=0. }$$
Although the corresponding Green's function is sign-changing, we still obtain the existence of at least 2m-1 positive solutions for arbitrary positive integer m under suitable conditions on f.

Submitted May 29, 2012. Published July 14, 2012.
Math Subject Classifications: 34B10, 34B18.
Key Words: Third-order three-point boundary-value problem; sign-changing Green's function; positive solution

Show me the PDF file (187 KB), TEX file, and other files for this article.

Jian-Ping Sun
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu 730050, China
email: jpsun@lut.cn
Juan Zhao
Department of Applied Mathematics
Lanzhou University of Technology
Lanzhou, Gansu 730050, China
email: z_1111z@163.com

Return to the EJDE web page