International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 62512, 11 pages
On a class of second-order impulsive boundary value
problem at resonance
1Department of Mathematics and Computer, Central University for Nationalities, Beijing 100081, China
2Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China
Received 16 September 2004; Revised 4 December 2005; Accepted 18 December 2005
Copyright © 2006 Guolan Cai et al. 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.
We consider the following impulsive boundary value problem,
. By using the
coincidence degree theory, a general theorem concerning the
problem is given. Moreover, we get a concrete existence result
which can be applied more conveniently than recent results. Our
results extend some work concerning the usual -point boundary
value problem at resonance without impulses.