Functional Differential Equations

Functional Differential Equations by A.V. Kim. Download it Functional Differential Equations books also available in PDF, EPUB, and Mobi Format for read it on your Kindle device, PC, phones or tablets. 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.. Click Get Books for free books.

Functional Differential Equations

Functional Differential Equations
Author: A.V. Kim
Publisher: Springer Science & Business Media
ISBN: 9401716307
Size: 30.75 MB
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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.
Functional Differential Equations
Language: en
Pages: 168
Authors: A.V. Kim
Categories: Mathematics
Type: BOOK - Published: 2013-04-17 - Publisher: Springer Science & Business Media
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
Applied Theory of Functional Differential Equations
Language: en
Pages: 234
Authors: V. Kolmanovskii, A. Myshkis
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
This volume provides an introduction to the properties of functional differential equations and their applications in diverse fields such as immunology, nuclear power generation, heat transfer, signal processing, medicine and economics. In particular, it deals with problems and methods relating to systems having a memory (hereditary systems). The book contains
Functional Differential Equations
Language: en
Pages: 368
Authors: Constantin Corduneanu, Yizeng Li, Mehran Mahdavi
Categories: Mathematics
Type: BOOK - Published: 2016-03-30 - Publisher: John Wiley & Sons
Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and
Functional Differential Equations
Language: en
Pages: 238
Authors: J. Hale
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
It is hoped that these notes will serve as an introduction to the subject of functional differential equations. The topics are very selective and represent only one particular viewpoint. Complementary material dealing with extensions of closely related topics are given in the notes at the end. A short bibliography is
Introduction to the Theory and Applications of Functional Differential Equations
Language: en
Pages: 648
Authors: V. Kolmanovskii, A. Myshkis
Categories: Mathematics
Type: BOOK - Published: 2013-04-18 - Publisher: Springer Science & Business Media
This book covers the most important issues in the theory of functional differential equations and their applications for both deterministic and stochastic cases. Among the subjects treated are qualitative theory, stability, periodic solutions, optimal control and estimation, the theory of linear equations, and basic principles of mathematical modelling. The work,
Theory of Functional Differential Equations
Language: en
Pages: 366
Authors: Jack K. Hale
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media
Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre hensive theory.
Oscillation Theory for Functional Differential Equations
Language: en
Pages: 504
Authors: Lynn Erbe
Categories: Mathematics
Type: BOOK - Published: 2017-10-02 - Publisher: Routledge
Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results. The book shows how to extend the techniques for boundary value problems of ordinary differential equations to those of functional differential equations.
Generalized Solutions of Functional Differential Equations
Language: en
Pages: 424
Authors: Joseph Wiener
Categories: Mathematics
Type: BOOK - Published: 1993-05-28 - Publisher: World Scientific
The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with piecewise continuous arguments over the last few years, this book serves as a useful source of reference. Great interest is placed on discussing
Integral and Functional Differential Equations
Language: en
Pages: 296
Authors: Harlan W. Stech, Terry L. Herdman, Samuel M. Rankin
Categories: Mathematics
Type: BOOK - Published: 1981-05-01 - Publisher: CRC Press
Books about Integral and Functional Differential Equations
Functional Differential Equations
Language: en
Pages: 400
Authors: A. B. Antonevich, Andrei V Lebedev, m. Belousov
Categories: Mathematics
Type: BOOK - Published: 1998-08-15 - Publisher: CRC Press
Together with the authors' Volume I. C*-Theory, the two parts comprising Functional Differential Equations: II. C*-Applications form a masterful work-the first thorough, up-to-date exposition of this field of modern analysis lying between differential equations and C*-algebras. The two parts of Volume II contain the applications of the C*-structures and theory