Bulletin of the Korean Mathematical Society ( Vol.43 NO.4 / 2006 ) Title Discussion on the analytic solutions of the second-order iterated differential equation(ENG) Author Han Ze Liu ,Wen Rong Li  MSC 39B12, 30D05 Publication Page 791-804 Page Abstract 1. Introduction 2. Analytic solution of the auxiliary equation in case (C1) 3. Analytic solution of the auxiliary equation in case (C2) 4. Analytic solution of the auxiliary equation in case (C3) 5. Analytic solutions for (1.1) Own Status Keyword iterative functional differential equation, analytic solution, majorant series Note Summary This paper is concerned with a second-order iterated differential equation of the form $c_{0}x''(z)+c_{1}x'(z)+c_{2}x(z)=x(az+bx(z))+h(z)$ with the distinctive feature that the argument of the unknown function depends on the state. By constructing a convergent power series solution of an auxiliary equation, analytic solutions of the original equation are obtained. Attach [DVI]  [PDF]