International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 53828, 16 pages

Analytic solution of certain second-order functional differential equation

Theeradach Kaewong and Piyapong Niamsup

Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Received 28 September 2005; Revised 2 July 2006; Accepted 9 July 2006

Copyright © 2006 Theeradach Kaewong and Piyapong Niamsup. 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 existence of analytic solutions of a certain class of iterative second-order functional differential equation of the form x(x[r](z))=c0z2+c1(x(z))2+(c2x[2](z))2++cm(x[m](z))2, m,r0.