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Functional Differential Equations: Application of i-smooth calculus - A.V. Kim
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A.V. Kim:
Functional Differential Equations: Application of i-smooth calculus - nieuw boek

ISBN: 9789048152117

ID: 978904815211

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. A.V. Kim, Books, Functional Differential Equations: Application of i-smooth calculus Books, Springer-Verlag/Sci-Tech/Trade

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Functional Differential Equations - A.V. Kim
(*)
A.V. Kim:
Functional Differential Equations - pocketboek

ISBN: 9789048152117

ID: 9789048152117

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. Books > Mathematics Soft cover, Springer Shop

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Functional Differential Equations: Application of I-Smooth Calculus - Kim, A. V.
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Kim, A. V.:
Functional Differential Equations: Application of I-Smooth Calculus - gebruikt boek

ISBN: 9789048152117

ID: 10986931

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. Functional Differential Equations: Application of I-Smooth Calculus Kim, A. V., Springer

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Functional Differential Equations Application of i-smooth calculus - Kim, A. V.
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Kim, A. V.:
Functional Differential Equations Application of i-smooth calculus - pocketboek

2010, ISBN: 9048152119

ID: A12091021

Softcover reprint of the original 1st ed. 1999 Kartoniert / Broschiert Funktionalanalysis und Abwandlungen, Differentialrechnung und -gleichungen, Variationsrechnung, Optimierung, Optimal control; derivative; differential equation; functional analysis; ordinary differential equation; partial differential equation; systems theory, mit Schutzumschlag neu, [PU:Springer Netherlands; Springer Netherland]

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Functional Differential Equations - A. V. Kim
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A. V. Kim:
Functional Differential Equations - pocketboek

2010, ISBN: 9789048152117

ID: 14930045

Application of i-smooth calculus, Softcover reprint of the original 1st ed. 1999, Softcover, Buch, [PU: Springer]

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Bijzonderheden over het boek
Functional Differential Equations

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.

Gedetalleerde informatie over het boek. - Functional Differential Equations


EAN (ISBN-13): 9789048152117
ISBN (ISBN-10): 9048152119
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
188 Bladzijden
Gewicht: 0,293 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 02.11.2010 17:42:24
Boek voor het laatst gevonden op 20.04.2019 18:32:03
ISBN/EAN: 9789048152117

ISBN - alternatieve schrijfwijzen:
90-481-5211-9, 978-90-481-5211-7


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