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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 15, Article ID 53828, 16 pages
doi:10.1155/IJMMS/2006/53828

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

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.