Controllability Results For Non-Linear Neutral Functional Differential Equations

ABSTRACT 

In this work, necessary and sufficient conditions are investigated and proved for the controllability of nonlinear functional neutral differential equations. The existence, form, and uniqueness of the optimal control of the linear systems are also derived. Global uniform asymptotic stability for nonlinear infinite neutral differential systems are investigated and proved and ultimately, the Shaefers’ fixed point theorem is used to forge a new and farreaching result for the existence of mild solutions of nonlinear neutral differential equations  in Banach Spaces. 

KEY WORDS: Relative Controllability, Volterra Integro-Differential Equation, Optimal Control, Complete State, Unsymmetric Fubini Theorem, Neutral Systems, Linearization,  Exponential Estimate, , Stability in the Large, mild solution . 

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APA

ORAEKIE, P (2021). Controllability Results For Non-Linear Neutral Functional Differential Equations. Afribary. Retrieved from https://afribary.com/works/controllability-results-for-non-linear-neutral-functional-differential-equations-1

MLA 8th

ORAEKIE, PAUL "Controllability Results For Non-Linear Neutral Functional Differential Equations" Afribary. Afribary, 14 Apr. 2021, https://afribary.com/works/controllability-results-for-non-linear-neutral-functional-differential-equations-1. Accessed 24 May. 2024.

MLA7

ORAEKIE, PAUL . "Controllability Results For Non-Linear Neutral Functional Differential Equations". Afribary, Afribary, 14 Apr. 2021. Web. 24 May. 2024. < https://afribary.com/works/controllability-results-for-non-linear-neutral-functional-differential-equations-1 >.

Chicago

ORAEKIE, PAUL . "Controllability Results For Non-Linear Neutral Functional Differential Equations" Afribary (2021). Accessed May 24, 2024. https://afribary.com/works/controllability-results-for-non-linear-neutral-functional-differential-equations-1