Functional Differential Equations: Application of i-smooth calculus by A.V. KimFunctional Differential Equations: Application of i-smooth calculus by A.V. Kim

Functional Differential Equations: Application of i-smooth calculus

byA.V. Kim

Paperback | December 5, 2010

Pricing and Purchase Info

$211.07 online 
$232.95 list price save 9%
Earn 1055 plum® points
Quantity:

In stock online

Ships free on orders over $25

Not available in stores

about

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. This book is unique in its separation of finite and infinite dimensional components in the structures of functional differential equations and functionals, as well as in its use of conditional representation of FDEs, which is expedient for the application of methods and constructions of i-smooth calculus. Part I contains a foundation of i-smooth calculus. Part II is an introduction to FDEs based on i-smooth calculus. Part III describes the direct Lyapunov method for systems with delays in terms of i- smooth functionals. Part IV considers an approach to the development of a dynamical programming method for systems with delays in terms of i-smooth Bellman's functionals. Audience: This volume will be of interest to students and researchers in mathematics, applied mathematicians, and engineers whose work involves ordinary differential equations, functional analysis, partial differential equations, optimal control and mathematics systems theory.
Title:Functional Differential Equations: Application of i-smooth calculusFormat:PaperbackDimensions:183 pages, 9.25 × 6.1 × 0 inPublished:December 5, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048152119

ISBN - 13:9789048152117

Look for similar items by category:

Reviews

Table of Contents

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.

Editorial Reviews

`The book is warmly recommended for students and researchers in mathematics, applied mathematicians, and engineers whose work involves ordinary differential equations, functional analysis, partial equations, optimal control and mathematics system theory.' Acta Scientiarum Mathematicarum