1 edition of **Functional differential equations** found in the catalog.

Functional differential equations

- 336 Want to read
- 19 Currently reading

Published
**1991**
by World Scientific in Singapore, Teaneck, N.J
.

Written in English

- Functional differential equations -- Congresses.,
- Stability -- Congresses.

**Edition Notes**

Other titles | Functional differential equations and related topics. |

Statement | editors, T. Yoshizawa, J. Kato. |

Genre | Congresses. |

Contributions | Yoshizawa, Tarō, 1919-, Kato, J., Nihon Sūgakkai., International Symposium on "Functional Differential Equations and Related Topics" (1990 : Kyoto, Japan), International Congress of Mathematicians (1990 : Kyoto, Japan) |

The Physical Object | |
---|---|

Pagination | x, 380 p. : |

Number of Pages | 380 |

ID Numbers | |

Open Library | OL16900169M |

Book Description. The book presents qualitative results for different classes of fractional equations, including fractional functional differential equations, fractional impulsive differential equations, and fractional impulsive functional differential equations, which have not been covered by other books. Today, the theory of delay differential equations (DDEs), also referred to as retarded functional differential equations, is well established [18, 30]. Models involving delay arise in many Author: Jack K. Hale.

The present book builds upon an earlier work of J. Hale, "Theory of Func tional Differential Equations" published in We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a complete new presentation of lin ear systems (Chapters 6~9) for retarded and neutral functional differential 5/5(1). One major change was a complete new presentation of lin- ear systems (Chapters 6 9) for retarded and neutral functional differential equations. The theory of dissipative systems (Chapter 4) and global at- tractors was completely revamped as well as the invariant manifold theory (Chapter 10) near equilibrium points and periodic orbits.

Get This Link to read/download book >>> Functional Equations and How to Solve Them (Problem Books in Mathematics) th Edition Many books have been written on the theory of functional equations, but very few help readers solve functional equatio. Ordinary differential equations an elementary text book with an introduction to Lie's theory of the group of one parameter. This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure .

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Status report on high occupancy vehicle (HOV) facilities and activities in the Puget Sound Region.

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Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with work continues and complements the author’s previous Cited by: Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct “worlds,” functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real by: The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations.

The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for. The present book builds upon an earlier work of J. Hale, "Theory of Func- tional Differential Equations" published in We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact.5/5(3).

Definitely the best intro book on ODEs that I've read is Ordinary Differential Equations by Tenebaum and Pollard. Dover books has a reprint of the book for maybe dollars on Amazon, and considering it has answers to most of the problems found. 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 Brand: Springer-Verlag New York. The required prerequisites for that book are at a level of a graduate student. The style of presentation will be appealing to people trained and interested in qualitative theory of ordinary and functional differential equations.

We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a complete new presentation of lin ear systems (Chapters 6~9) for retarded and neutral functional differential equations.

The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and : Constantin Corduneanu.

used textbook “Elementary differential equations and boundary value problems” by Boyce & DiPrima (John Wiley & Sons, Inc., Seventh Edition, c ). Many of the examples presented in these notes may be found in this book. The material of Chapter 7 is adapted from the textbook “Nonlinear dynamics and chaos” by Steven.

Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations.

Knowledge of these techniques is particularly useful as. This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations.

Beginning with the works of skii [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. Differential Equations & Functional Analysis, New York, New York.

K likes. This page aims at discussing all subjects about o/p differential equations Followers: K. This elementary text-book on Ordinary Differential Equations, is an attempt to present as much of the subject as is necessary for the beginner in Differential Equations, or, perhaps, for the student of Technology who will not make a specialty of pure Mathematics.

Functional differential equations of retarded type occur when {,}. ISBN: OCLC Number: Notes: Second ed. published in under title: Theory of functional differential equations.

Publisher Summary. This chapter focuses on the comprehensive definitions and background of functional equations and their representations. The study of ordinary differential equations and of certain integral equations, in particular, had inspired many of the original investigations into functional analysis, and the latter, in turn, had provided powerful tools for a simpler and more.

v Introduction. Linear differential difference equations. Exponential estimates of x(c,f). The characteristic equation. 7 Neutral. 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. The present work attempts to consolidate those.

The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations.

The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for.In the functional analysis books that I have read, they do not explain how the ideas and theorems of functional analysis (in the sense of operators on Banach spaces) help to deal with differential equations, such as proving existence or uniqueness of solutions.History Of Delay Equations 1 J.K.

Hale 1 Stability of equilibria and Lyapunov functions 3 2 Invariant Sets, Omega-limits and Lyapunov functionals. 7 3 Delays may cause instability. 10 4 Linear autonomous equations and perturbations.

12 5 Neutral Functional Diﬀerential Equations 16 6 Periodically forced systems and discrete dynamical systems.