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.
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CHINENYE, G (2024). Review Of Existence And Uniqueness Conditions For Fixed Points Of Ordinary Differential Equations:- Okorafor, Chinenye G.. Mouau.afribary.org: Retrieved Dec 22, 2024, from https://repository.mouau.edu.ng/work/view/review-of-existence-and-uniqueness-conditions-for-fixed-points-of-ordinary-differential-equations-okorafor-chinenye-g-7-2
GOODLUCK, CHINENYE. "Review Of Existence And Uniqueness Conditions For Fixed Points Of Ordinary Differential Equations:- Okorafor, Chinenye G." Mouau.afribary.org. Mouau.afribary.org, 20 Feb. 2024, https://repository.mouau.edu.ng/work/view/review-of-existence-and-uniqueness-conditions-for-fixed-points-of-ordinary-differential-equations-okorafor-chinenye-g-7-2. Accessed 22 Dec. 2024.
GOODLUCK, CHINENYE. "Review Of Existence And Uniqueness Conditions For Fixed Points Of Ordinary Differential Equations:- Okorafor, Chinenye G.". Mouau.afribary.org, Mouau.afribary.org, 20 Feb. 2024. Web. 22 Dec. 2024. < https://repository.mouau.edu.ng/work/view/review-of-existence-and-uniqueness-conditions-for-fixed-points-of-ordinary-differential-equations-okorafor-chinenye-g-7-2 >.
GOODLUCK, CHINENYE. "Review Of Existence And Uniqueness Conditions For Fixed Points Of Ordinary Differential Equations:- Okorafor, Chinenye G." Mouau.afribary.org (2024). Accessed 22 Dec. 2024. https://repository.mouau.edu.ng/work/view/review-of-existence-and-uniqueness-conditions-for-fixed-points-of-ordinary-differential-equations-okorafor-chinenye-g-7-2