Existence and Uniqueness for the Controllability of a Dynamical System
Journal: Academic Journal of Applied Mathematical Sciences (Vol.5, No. 12)Publication Date: 2019-12-15
Authors : Eli Innocent Cleopas; Godspower C. Abanum;
Page : 168-173
Keywords : Nonlinear integro-differential equation; Darbo fixed point theorem; Controllability; Measure of non compactness of set.;
Abstract
In this paper, we consider the existence and uniqueness for the controllability of a dynamical system. Here, measure of non-compactness of set was employed to examine the conditions for darbo's fixed point theorem which is used to established the existence and uniqueness solution for nonlinear integro-differential equation with implicit derivatives.
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