Electron. J. Diff. Equ., Vol. 2013 (2013), No. 45, pp. 1-12.

Existence of positive solutions for even-order m-point boundary-value problems on time scales

Ismail Yaslan

Abstract:
In this article, we consider a nonlinear even-order m-point boundary-value problems on time scales. We establish the criteria for the existence of at least one, two and three positive solutions for higher order nonlinear m-point boundary-value problems on time scales by using the four functionals fixed point theorem, Avery-Henderson fixed point theorem and the five functionals fixed point theorem, respectively.

Submitted October 15, 2012. Published February 8, 2013.
Math Subject Classifications: 34B18, 34N05, 39A10.
Key Words: Boundary value problems; cone; fixed point theorems; positive solutions; time scales.

Show me the PDF file (220 KB), TEX file, and other files for this article.

Ismail Yaslan
Pamukkale University, Department of Mathematics
20070 Denizli, Turkey
email: iyaslan@pau.edu.tr

Return to the EJDE web page