Journal of Applied Mathematics
Volume 2005 (2005), Issue 1, Pages 1-21
Periodic boundary value problems for th-order ordinary differential equations with -laplacian
1Department of Mathematics, Hunan Institute of Science and Technology, Yueyang, Hunan 414000, China
2Department of Applied Mathematics, Beijing Institute of Technology, Beijing 1000811, China
3Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China
Received 26 April 2004; Revised 5 September 2004
Copyright © 2005 Yuji Liu and Weigao Ge. 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 prove existence results for solutions of periodic boundary value problems concerning the th-order differential equation
with -Laplacian and the boundary value conditions , . Our method is based upon the coincidence degree theory of Mawhin. It is interesting that may be a polynomial and the degree of some variables among in the function is allowed to be greater than .