7 edition of **Theory of impulsive differential equations** found in the catalog.

- 113 Want to read
- 40 Currently reading

Published
**1989** by World Scientific in Singapore, Teaneck, NJ .

Written in English

- Differential equations

**Edition Notes**

Other titles | Impulsive differential equations. |

Statement | V. Lakshmikantham, D.D. Bainov, P.S. Simeonov. |

Series | Series in modern applied mathematics ;, vol. 6, Series in modern applied mathematics ;, v. 6. |

Contributions | Baĭnov, D., Simeonov, P. S. |

Classifications | |
---|---|

LC Classifications | QA372 .L235 1989 |

The Physical Object | |

Pagination | x, 273 p. : |

Number of Pages | 273 |

ID Numbers | |

Open Library | OL2195201M |

ISBN 10 | 9971509709 |

LC Control Number | 89014690 |

This invaluable monograph is devoted to a rapidly developing area on the research of qualitative theory of fractional ordinary and partial differential equations. It provides the readers the necessary background material required to go further into the subject and explore the rich research literatur. For some recent works on the theory of impulsive differential equations, we refer the reader to [1–3]. Fractional differential equations have proved valuable and effective tools in the modeling of many phenomena in various fields of biology, medicine, mechanics, engineering, viscoelasticity, and so .

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Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.

Enter your mobile number or email address below and we'll send you a link to download the free Kindle Theory of impulsive differential equations book. Then you can start reading Kindle books on Cited by: Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world problems.

Preview this book»5/5(1). Impulsive differential equations have been an object of intensive investigation during recent years, due to the wide possibilities for their application in various fields of science and technology. This monograph deals with periodic solutions of impulsive differential equations.

Periodic linear impulsive differential equations are studied in Cited by: Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of.

The theory of impulsive differential equations Theory of impulsive differential equations book a new and important branch of differential equations. The first paper in this theory is related to A.

Mishkis and V. Mil’man in and [19]. The last decades have seen major developments in this theory Cited by: 5. “In this monograph the author presents the impulse response method for solving linear ordinary differential equations.

The book is well organized and well written. I recommend it to anyone interested in differential equations, not only the teachers and students in a first course on this subject.” (Anton Zettl, Mathematical Reviews.

Impulsive Differential Equations by V. Lakshmikantham, Theory Of Impulsive Differential Equations Books available in PDF, EPUB, Mobi Format.

Download Theory Of Impulsive Differential Equations books, Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. The solutions of impulsive differential equations (IDEs) are often discontinuous and are not integrable in the ordinary sense of the word as most hypotheses in differential equations normally peculiarity makes (IDEs) not easily.

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. I want to point out two main guiding questions to keep in mind as you learn your way through this rich field of mathematics. Question 1: are you mostly interested in ordinary or partial differential equations.

Both have some of the same (or very s. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging book is.

Some examples of simple differential equations. The book covers separation of variables, linear differential equation of first order, the existence and uniqueness theorem, the Bernoulli differential equation, and the setup of model equations.

( views) Ordinary Differential Equations and Dynamical Systems by Gerald Teschl - Universitaet Wien. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their.

Theory of impulsive differential equations by V. Lakshmikantham,World Scientific edition, in EnglishPages: Impulsive effects can take place in plant dynamics or be introduced through control laws. This book studies the two main types of control systems. First are the controlling impulsive systems, in which the plant itself is formed by impulsive differential equations, so the control law will be either continuous or impulsive.

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Impulsive differential equations have become more important in recent years in some mathematical models of real phenomena, especially in biological or medical domains, and in control theory (see. Harry Bateman was a famous English mathematician.

In writing this book he had endeavoured to supply some elementary material suitable for the needs of students who are studying the subject for the first time, and also some more advanced work which may be useful to men who are interested more in physical mathematics than in the developments of differential geometry and the theory of functions.

The mathematical description of these phenomena leads to impulsive differential equations. In this work we present a new approach via variational methods and critical point theory to obtain the existence of solutions to impulsive problems.

We consider a linear Dirichlet problem and the solutions are found as critical points of a functional. Impulsive differential equations have been the subject of intense investigation in the last years, due to the wide possibilities for their application in numerous fields of science and technology.

This new work presents a systematic exposition of the results solving all of the more important problems in this field. Impulsive Differential Equations: Periodic Solutions and Applications - Ebook written by Drumi Bainov, Pavel Simeonov.

Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Impulsive Differential Equations: Periodic Solutions and Applications.

The qualitative theory of dynamic equations is a rapidly developing area of research. In the last 50 years, the Oscillation Theory of ordinary, functional, neutral, partial and impulsive differential equations, and their discrete versions, has inspired many scholars.

Hundreds of research papers have been published in every major mathematical journal. Many books deal exclusively with the. Theory Of Impulsive Differential Equations by Vangipuram Lakshmikantham,available at Book Depository with free delivery worldwide.

1 Introduction The theory of differential equations with piecewise constant arguments (DE PCA) of the type Oprah’s Book Club Advanced Impulsive Differential Equations with Piecewise Constant Arguments (Report) Mathematical Modeling and AnalysisJune, 15, 2.

Recently, the theory and application of impulsive delay differential equations have developed. Various mathematical models in the study of population dynamics, biology, ecology and epidemic, etc.

can be expressed by impulsive delay differential equations. The editor has incorporated contributions from a diverse group of leading researchers in the field of differential equations.

This book aims to provide an overview of the current knowledge in the field of differential equations. The main subject areas are divided into general theory and applications. These include fixed point approach to solution existence of differential equations, existence Author: Terry E.

Moschandreou. This paper is motivated from some recent papers treating the boundary value problems for impulsive fractional differential equations. We first make a counterexample to show that the formula of solutions in cited papers are incorrect.

This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses).

At the present time the qualitative theory of such equations. This unique monograph investigates the theory and applications of Volterra integro-differential equations. Whilst covering the basic theory behind these equations it also studies their qualitative properties and discusses a large number of applications.

This comprehensive work presents a unified framework to investigate the fundamental existence of theory, treats stability theory in terms of. This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses).

At the present time the qualitative theory of such equationsis under rapid development. After a presentation of the fundamental theory of existence, uniqueness and. "The book is a good resource to familiarize oneself with current achievements in the theory of fractional differential equations of various types.

It is well written, and every chapter is equipped with an interesting introduction." Mathematical Reviews Clippings "The last chapter of this book is devoted to fractional partial differential by: The qualitative theory of impulsive differential equations is currently undergoing rapid development in relation to the investigation of various processes which are subject to impacts during their evolution, and many findings on the existence and uniqueness of almost periodic solutions of these equations are being made.

This book systematically. Moreover, the theory of impulsive differential equations or inclusions has now become an interesting area of investigation because it has many applications in the field of biology, physics, engineering, economics and so on.

Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi5/5(1).

Author: Shangjiang Guo Publisher: Springer ISBN: Size: MB Format: PDF, Mobi Category: Mathematics Languages: en Pages: View: Book Description: This book provides a crash course on various methods from the bifurcation theory of Functional Differential Equations (FDEs).FDEs arise very naturally in economics, life sciences and engineering and the study of FDEs.

Di erential equations of the form y0(t) = f(at+ by(t) + c). 40 Second order di erential equations reducible to rst order di erential equations 42 Chapter 4.

General theory of di erential equations of rst order 45 Slope elds (or direction elds) 45 Autonomous rst order di erential equations. 49. The paper discusses both p-th moment and almost sure exponential stability of solutions to stochastic functional differential equations with impulsive by using the Razumikhin-type main goal is to find some conditions that could be applied to control more easily than using the usual method with Lyapunov functionals.“The aim of this book is to study quantitatively and qualitatively impulsive differential equations in finite- and/or infinite-dimensional spaces.

This book is very important for researchers who work on differential equations with piecewise dynamics. The book is .The qualitative theory of impulsive differential equations is currently undergoing rapid development in relation to the investigation of various processes which are subject to impacts during their evolution, and many findings on the existence and uniqueness of almost periodic solutions of these equations are being made.

This book.