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2. ON EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NON-LINEAR FIRST ORDER DIFFERENTIAL EQUATION USING IMPLICIT FUNCTION THEOREM IN BANACH SPACE by Eze Everestus Obinwanne, Udaya Collins Okechukwu and Agwu Emeka Uchendu Volume 50 (March, 2019 Issue)
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ON EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NON-LINEAR FIRST ORDER DIFFERENTIAL EQUATION USING IMPLICIT FUNCTION THEOREM IN BANACH SPACE

Eze Everestus Obinwanne, Udaya Collins Okechukwu and Agwu Emeka Uchendu

Department of Mathematics, Michael Okpara University of Agriculture, Umudike, Umuahia, Abia State, Nigeria.

Abstract

In this paper, existence and uniqueness of periodic solutions in a nonlinear first order differential equation have been shown using implicit function theorem in Banach spaces which extends some results in literature.

Keywords:  Periodic solutions, implicit function theorem, nonlinear differential equation, Banach Spaces, Frechet differentials, Existence and Uniqueness.

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