International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 53828, 16 pages
doi:10.1155/IJMMS/2006/53828
Analytic solution of certain second-order functional differential
equation
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.
Abstract
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,r≥0.