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 .
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
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 08 Jun. 2023.
ORAEKIE, PAUL . "Controllability Results For Non-Linear Neutral Functional Differential Equations". Afribary, Afribary, 14 Apr. 2021. Web. 08 Jun. 2023. < https://afribary.com/works/controllability-results-for-non-linear-neutral-functional-differential-equations-1 >.
ORAEKIE, PAUL . "Controllability Results For Non-Linear Neutral Functional Differential Equations" Afribary (2021). Accessed June 08, 2023. https://afribary.com/works/controllability-results-for-non-linear-neutral-functional-differential-equations-1