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Research Article

ScienceAsia 28 (2002) :191-198 |doi: 10.2306/scienceasia1513-1874.2002.28.191

 

On Simple Iterative Ordinary Differential Equations


Maitree Podisuk*


ABSTRACT: One class of the iterative ordinary differential equations is the simple iterative ordinary differential equation. In this paper, the local existence and uniqueness results for the first order of degree m of simple iterative ordinary differential equations are proved. The global existence and uniqueness results for the first order of second, third, fourth and mth degree are also proved.

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Department of Mathematics and Computer Science, King Mongkut’s University of Technology Chaokhuntaharn Ladkrabang, Bangkok 10520, Thailand.

* Corresponding author, E-mail: mxp7186@hotmail.com

Received 20 Sep 2000, Accepted 2 Nov 2001