On The Existence of A Unique Solution for Systems of Ordinary Differential Equations of First Order |
( Volume 3 Issue 8,August 2016 ) OPEN ACCESS |
Author(s): |
Abdussalam A. Bojeldain, Saif Alislam E. Muhammed |
Abstract: |
In this paper, we state and prove a theorem for local existence of a unique solution for a system of nonlinear ordinary differential equations ( NODE ) of first order by proving that the nonlinear operator of this system is contractive in a metric space subset of the Banach space consisting of the bounded differentiable functions on the real numbers and equipped with a Bielescki's type norm. Finally, we give examples to illustrate our result. |
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