Iterative Ordinary Differential Equations on Semi-Infinite Domain

There are two types of iterative differential equations, iterative ordinary differential equation and iterative partial differential equation. In this paper, we will concentrate on iterative ordinary differential equation on the semi-infinite domain [0,∞). Podisuk⁴ proved the existence and uniqueness of the solution of the iterative ordinary differential equation in the closed interval [0,a]. Podisuk⁶ also proved the existence and uniqueness of the solution of the simple iterative ordinary differential equation on the semi-infinite domain [0,∞). In this paper, we will give a proof of existence and uniqueness of the solution of the iterative ordinary differential equation on the semi-infinite domain [0,∞).

Keywords: iterative, ordinary, differential, equation, semi-infinite domain

Corresponding author: E-mail: mpodisuk@yahoo.com