Review Of Existence And Uniqueness Conditions For Fixed Points Of Ordinary Differential Equations:- Okorafor, Chinenye G.

ABSTRACT

This is a reviewed research work on existence and uniqueness conditions for fixed point oF Ordinary Differential Equations with the associated initial value problem y =/OcyXyCxo) = yo. Where f is some lipschitz function in neighborhood of (y0> 0)eRnX R. in this work we reviewed those concepts like convergence continuity and completeness of metric space which are fundamental to the topic. The work X-rays that for any given problem f to converge to a fixed point, the contraction mapping principle must hold. We also studied the existence and uniqueness on first order systems. In addition, a result in this work reveals strongly the importance ofthe existence and uniqueness of fixed point of any given problem ifit must have a solution.