Existence and Uniqueness for the Controllability of a Dynamical System
Eli Innocent Cleopas* and
Godspower C. Abanum
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Eli Innocent Cleopas*: Department of Mathematics/Statistics, Federal University Otuoke, Nigeria
Godspower C. Abanum: Department of Mathematics/Statistics, Ignatius Ajuru University of Education, Port Harcourt, Nigeria
Academic Journal of Applied Mathematical Sciences, 2019, vol. 5, issue 12, 168-173
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 darboâ€™s fixed point theorem which is used to established the existence and uniqueness solution for nonlinear integro-differential equation with implicit derivatives.
Keywords: Nonlinear integro-differential equation; Darbo fixed point theorem; Controllability, Measure of non compactness of set. (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:arp:ajoams:2019:p:168-173
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