2008•Ife Journal of ScienceOpen access

On The Existence And Uniqueness Of Solutions Of A Generalized Lipschitz Ordinary Differential Equations

T A Ademola, M. O. Ogundiran

Abstract

In this paper, the existence and uniqueness theorem for the solutions of the initial value problem (1.1), (1.2) and (3.12) shall be proven, where the function f, in (1.1) and (3.12) satisfy generalized Lipschitz continuous. IFE Journal of Science Vol. 9 (2) 2007 pp. 241-246

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Key concepts: Lipschitz continuity, Uniqueness, Ordinary differential equation, Mathematics, Picard–Lindelöf theorem, Initial value problem, Value (mathematics), Function (biology)