Kniha Functional Differential Equations A. V. Kim

Functional Differential Equations

Application of i-smooth calculus

Autor: A. V. Kim
Jazyk: Angličtina
Väzba: Pevná
Vydavateľ: Springer Netherlands
Dostupnosť: Skladom u dodávateľa
Odosielame za 10-13 dní
99.78
This monograph presents the basics of i-smooth calculus, a new differential calculus of nonlinear fu...

Informácie o knihe

Autor
Jazyk
Angličtina
Väzba
Kniha - Pevná
Vydalo
1999
Stránok
168
EAN
9780792356899
ISBN
0792356896
Enbook ID
02106138
Hmotnosť
445
Rozmery
160 x 242 x 12

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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