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Functional Differential Equations

Name: Functional Differential Equations
Brand: Springer Netherlands
SKU: 02109834
Price: 102.86 EUR
Availability: InStock
Author: A. V. Kim
ISBN: 9789048152117

Application of i-smooth calculus

A. V. Kim

Language

English

Book Paperback

Libristo code: 02109834

Publishers Springer Netherlands, October 2010

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

Libristo code: 02109834

249 b

102.86 €

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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.