Advances in Difference Equations
Volume 2006 (2006), Article ID 54989, 15 pages
doi:10.1155/ADE/2006/54989

Singular second-order multipoint dynamic boundary value problems with mixed derivatives

Martin Bohner1 and Hua Luo2

1Department of Mathematics, University of Missouri–Rolla, Rolla 65409-0020, MO, USA
2Department of Mathematics, Northwest Normal University, Lanzhou, Gansu 730070, China

Received 12 September 2005; Accepted 26 October 2005

Copyright © 2006 Martin Bohner and Hua Luo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study a certain singular second-order m-point boundary value problem on a time scale and establish the existence of a solution. The proof of our main result is based upon the Leray-Schauder continuation theorem.