Functional Differential Equations (inbunden)
Fler böcker inom
Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
168
Utgivningsdatum
1999-05-01
Upplaga
1999 ed.
Förlag
Springer
Illustrationer
XV, 168 p.
Dimensioner
234 x 156 x 13 mm
Vikt
440 g
Antal komponenter
1
Komponenter
1 Hardback
ISBN
9780792356899

Functional Differential Equations

Application of i-smooth calculus

av A V Kim
Inbunden,  Engelska, 1999-05-01
1550
Köp
Spara som favorit
  • Skickas från oss inom 7-10 vardagar.
  • Fri frakt över 249 kr för privatkunder i Sverige.
Finns även som
Visa alla 2 format & utgåvor
Beginning with the works of N.N.Krasovskii [81, 82, 83], which clari fied the functional nature of systems with delays, the functional approach provides a foundation for a complete theory of differential equations with delays. Based on the functional approach, different aspects of time-delay system theory have been developed with almost the same completeness as the corresponding field of ODE (ordinary differential equations) the ory. The term functional differential equations (FDE) is used as a syn onym for systems with delays 1. The systematic presentation of these re sults and further references can be found in a number of excellent books [2, 15, 22, 32, 34, 38, 41, 45, 50, 52, 77, 78, 81, 93, 102, 128]. In this monograph we present basic facts of i-smooth calculus ~ a new differential calculus of nonlinear functionals, based on the notion of the invariant derivative, and some of its applications to the qualitative theory of functional differential equations. Utilization of the new calculus is the main distinction of this book from other books devoted to FDE theory. Two other distinguishing features of the volume are the following: - the central concept that we use is the separation of finite dimensional and infinite dimensional components in the structures of FDE and functionals; - we use the conditional representation of functional differential equa tions, which is convenient for application of methods and constructions of i~smooth calculus to FDE theory.
Visa hela texten

Passar bra ihop

  1. Functional Differential Equations
  2. +
  3. The Indoctrinated Brain

De som köpt den här boken har ofta också köpt The Indoctrinated Brain av Michael Nehls (inbunden).

Köp båda 2 för 1836 kr

Kundrecensioner

Har du läst boken? Sätt ditt betyg »

Fler böcker av A V Kim

  • i-Smooth Analysis

    i-Smooth Analysis

    A V Kim

    i-SMOOTH ANALYSIS A totally new direction in mathematics, this revolutionary new study introduces a new class of invariant derivatives of functions and establishes relations with other derivatives, such as the Sobolev generalized derivative and th...

    2406
    Köp
    Skickas inom vardagar.
  • Systems with Delays

    Systems with Delays

    A V Kim, A V Ivanov

    The main aim of the book is to present new constructive methods of delay differential equation (DDE) theory and to give readers practical tools for analysis, control design and simulating of linear systems with delays. Referred to as "systems...

    2406
    Köp
    Skickas inom vardagar.

Recensioner i media

`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

Innehållsförteckning

I iSmooth Calculus.- 1 Structure of Functionals.- 2 Properties of Functionals. Invariant Derivative.- 3 Generalized Derivatives of Nonlinear Functionals.- II Functional Differential Equations.- 4 Functional Differential Equations.- 5 Neutral Functional Differential Equations.- III Direct Lyapunov Method for Systems with Delays.- 6 The Problem Statement.- 7 The Lyapunov Functional Method.- 8 The Lyapunov Function Method.- 9 Instability.- IV Dynamical Programming Method for Systems with Delays.- 10 Systems with State Delays.- 11 Systems with Control Delays.- References.

Du kanske gillar