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ISSN:2394-3661 | Crossref DOI | SJIF: 5.138 | PIF: 3.854

International Journal of Engineering and Applied Sciences

(An ISO 9001:2008 Certified Online and Print Journal)

On The Existence of A Unique Solution for Systems of Ordinary Differential Equations of First Order

( Volume 3 Issue 8,August 2016 ) OPEN ACCESS

Abdussalam A. Bojeldain, Saif Alislam E. Muhammed


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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