Analytic solution of certain second-order functional differential equation

摘要

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))=c_oz~2+c_1(x(z))~2+(c_2x~[2](z))2+…+cm(x~[m](z))~2, m,r≥0.