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Functional Differential Equations: Application of i-smooth calculus Book

Functional Differential Equations: Application of i-smooth calculus
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Functional Differential Equations: Application of i-smooth calculus, This monograph presents the basics of i-smooth calculus, a new differential calculus of nonlinear functionals based on the notion of invariant derivative, and its application to some problems of the qualitative theory of functional differential equations., Functional Differential Equations: Application of i-smooth calculus
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  • Functional Differential Equations: Application of i-smooth calculus
  • Written by author A.V. Kim
  • Published by Springer-Verlag New York, LLC, 12/6/2010
  • This monograph presents the basics of i-smooth calculus, a new differential calculus of nonlinear functionals based on the notion of invariant derivative, and its application to some problems of the qualitative theory of functional differential equations.
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Preface. Part I: i-Smooth Calculus. 1. Structure of Functionals. 2. Properties of Functionals. Invariant Derivative. 3. Generalized Derivatives of Nonlinear Functionals. Part II: Functional Differential Equations. 4. Functional Differential Equations. 5. Neutral Functional Differential Equations. Part III: Direct Lyapunov Method for Systems with Delays. 6. The Problem Statement. 7. The Lyapunov Functional Method. 8. The Lyapunov Function Method. 9. Instability. Part IV: Dynamical Programming Method for Systems with Delays. 10. Systems with State Delays. 11. Systems with Control Delays. References. Index.


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Functional Differential Equations: Application of i-smooth calculus, This monograph presents the basics of i-smooth calculus, a new differential calculus of nonlinear functionals based on the notion of invariant derivative, and its application to some problems of the qualitative theory of functional differential equations., Functional Differential Equations: Application of i-smooth calculus

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Functional Differential Equations: Application of i-smooth calculus, This monograph presents the basics of i-smooth calculus, a new differential calculus of nonlinear functionals based on the notion of invariant derivative, and its application to some problems of the qualitative theory of functional differential equations., Functional Differential Equations: Application of i-smooth calculus

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Functional Differential Equations: Application of i-smooth calculus, This monograph presents the basics of i-smooth calculus, a new differential calculus of nonlinear functionals based on the notion of invariant derivative, and its application to some problems of the qualitative theory of functional differential equations., Functional Differential Equations: Application of i-smooth calculus

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