Functional Differential Equations

Name: Functional Differential Equations
Brand: Springer Netherlands
SKU: 9789048152117
Price: 100.0 EUR
Availability: InStock

Application of i-smooth calculus

Autor: A. V. Kim

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer Netherlands

Dostupnosť: Skladom u dodávateľa

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This monograph presents the basics of i-smooth calculus, a new differential calculus of nonlinear fu...

Informácie o knihe

Autor

A. V. Kim

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2010

Stránok

168

EAN

9789048152117

ISBN

9048152119

Enbook ID

02109834

Vydavateľ

Springer Netherlands

Hmotnosť

296

Rozmery

160 x 240 x 10

Kompletný popis

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.

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Functional Differential Equations

Application of i-smooth calculus

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