Last edited by Akitilar
Wednesday, April 22, 2020 | History

6 edition of Impulsive Differential Equations found in the catalog.

Impulsive Differential Equations

Periodic Solutions and Applications (Chapman and Hall /Crc Monographs and Surveys in Pure and Applied Mathematics)

by Drumi Bainov

  • 144 Want to read
  • 0 Currently reading

Published by Chapman & Hall/CRC .
Written in English

    Subjects:
  • Differential Equations,
  • Science,
  • Science/Mathematics,
  • General,
  • Mathematics / Differential Equations

  • The Physical Object
    FormatLoose leaf
    Number of Pages240
    ID Numbers
    Open LibraryOL7879713M
    ISBN 100582096391
    ISBN 109780582096394

      The theory of impulsive differential equations describes processes which experience a sudden change of their state at certain moments. Processes with such a character arise naturally and often, especially in phenomena studied in physics, chemical technology, population dynamics, biotechnology, and by: 3. Periodic impulsive fractional differential equations Article (PDF Available) in Advances in Nonlinear Analysis 8(1)– April with Reads How we measure 'reads'. 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. Z. Luo and J. Shen,Impulsive stabilization of functional differential equations with infinite delays, Applied Math Letters16 (), – zbMATH CrossRef MathSciNet Google Scholar Z. Luo and J. Shen, Stability and boundedness for impulsive functional differential equations with infinite delays, Nonlinear Analysis 46 (), – Cited by: 4.

    Impulsive fractional differential equations represent a real framework for mathematical modelling to real world problems. Significant progress has been made in the theory of impulsive fractional differential equations []. We consider a class of impulsive fractional integrodifferential equations with nonlocal conditions of the form () (1.


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Impulsive Differential Equations by Drumi Bainov Download PDF EPUB FB2

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 by: 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 cturer: Routledge.

Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution phenomena of several real world by: 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 written clearly, strictly, and by: “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.

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.5/5(1). 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.5/5(1).

Using the theory of impulsive differential equations, this book focuses on mathematical models which reflect current research in biology, population dynamics, neural networks and economics.

The authors provide the basic background from the fundamental theory and give a systematic exposition of recent results related to the qualitative analysis of impulsive mathematical models.

Thus impulsive differential equations, that is, differential equations involving impulse effects, appear as a natural description of observed evolution. Impulsive di erential equations with applications to infectious diseases Impulsive di erential equations are useful for modelling certain biological events.

We present three biological applications showing the use of impulsive di erential equations in real-world problems. We also look at the e ects of stability on a reducedFile Size: 6MB.

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 presents findings related to almost periodic solutions of impulsive Cited by:   System Upgrade on Feb 12th During this period, E-commerce and registration of new users may not be available for up to 12 hours.

For online purchase, please visit us again. Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc. Search Search. Quick Search anywhere. Theory of Impulsive Differential Equations. Metrics.

Downloaded 14 times History. Loading Close Figure Viewer. Browse All. Unlike most texts in differential equations, this textbook gives an early presentation of the Laplace transform, which is then used to motivate and develop many of the remaining differential equation concepts for which it is particularly well suited.

For example, the standard solution methods for. impulsive differential equations and list some of the aims for our analysis. In Chapter 2, we analyse the oxygen-driven model for self-cycling fermentation. The amount of nutrient a!1d biomass in each cycle is related by by: Impulsive Differential Equations: Periodic Solutions and Applications - CRC Press Book This book provides a systematic exposition of the results related to periodic solutions of impulsive differential equations and illustrates the potential for their application by a.

Impulsive differential equations have been the subject of intense investigation in the last years, due to the wide possibilities for their application in Impulsive Differential Equations book. Periodic Solutions and Applications. Impulsive Differential by: This book is useful for researchers and graduate students studying evolution equations and other nonlinear problems with non-instantaneous impulsive effects as well as for research, seminars, and advanced graduate courses, in pure and applied mathematics, physics, mechanics, engineering, biology, and related disciplines.

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

There are many good monographs on the impulsive differential equations [1, ]. Many processes studied in appliedCited by: 4. Impulsive differential equations. [A M Samoĭlenko; N A Peresti︠u︡k] -- This monograph, written by the representatives of the Kiev school of Nonlinear Mechanics, contains a sufficiently complete study of systems of impulsive linear differential equations, as well as.

Impulsive Differential Equations and Inclusions M. BENCHOHRA, J. HENDERSON, and S. NTOUYAS First-order impulsive dynamic equations on time scales Impulsive functional dynamic equations on time scales An outline of the book as it is devoted to articles published by the authors.

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.

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.

It ma. Book PDF Available. Impulsive Differential Equations and Inclusions. January ; (minimal) solution of an impulsive differential equation as the limit of a sequence of its upper (lower. The book provides a limited description of the use of the unit-step function and unit impulse functions.

A better treatment can be found in Redheffer's book Differential Equations. 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. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones.

The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. Linear systems are often described using differential equations. For example: d2y dt2 + 5 dy dt + 6y = f(t) where f(t) is the input to the system and y(t) is the output.

We know how to solve for y given a specific input f. We now cover an alternative approach: Equation Differential convolution Corresponding Output solve Any input Impulse File Size: 81KB. ()– andwhent=t k,k∈N,wehave ˆx(tk)=x(t k−nω)=x(t k−nq =x(t− k−nq)+I k −nq (tk−nq,x(t k nq)) =x((t k−nω)−)+I.

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. Impulsive differential equations. [A M Samoĭlenko; N A Peresti︠u︡k] Print book: EnglishView all editions and formats: Summary: For researchers in nonlinear science, General Description of Impulsive Differential Systems Linear Systems equations to describe the impulse impact.

Thus, impulsive differential equations are inherently related to the difference equations. In many cases an impulsive differential equation can be reduced to a difference one. Dynamic equations on time scales [3] represent a state-of-the-art approach to this problem, which allows a unification of theFile Size: KB.

This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier.

For example, delay functional differential equations were studied in [23,25,27,30,39], impulsive differential equations in [5, 26], and impulsive delayed and advanced differential equations in [6. Theory of impulsive differential equations Add library to Favorites Please choose whether or not you want other users to be able to see on your profile that this library is a favorite of yours.

As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. Drumi D. Bainov is the author of Impulsive Differential Equations ( avg rating, 1 rating, 0 reviews, published ), Differential Equations with Max 4/5(1).

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. CLASS PROJECTS USING MATLAB TO ANALYZE MODELS USING IMPULSIVE DIFFERENTIAL EQUATIONS Timothy D.

Comar Benedictine University Department of Mathematics College Road Lisle, IL [email protected] Introduction The highlight of the second semester biocalculus course at Benedictine University is the Extended Course Size: KB.

Get this from a library. Theory of impulsive differential equations. [V Lakshmikantham; D Baĭnov; P S Simeonov] -- Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly.

These processes are subject to short-term perturbations whose. In this chapter we discuss first order impulsive differential equations. Many physical situations are modelled by problems of this kind, for example problems in optimal control theory and problems in threshold theory in Biology.

The last ten years or so have seen major developments in the theory of impulsive differential : Donal O’Regan. This collection of 24 papers, which encompasses the construction and the qualitative as well as quantitative properties of solutions of Volterra, Fredholm, delay, impulse integral and integro-differential equations in various spaces on bounded as well as unbounded intervals, will conduce and spur further research in this direction.Examines periodic solutions of impulsive differential equations.

Periodic linear impulsive differential equations, the use of the small parameter method in noncritical and critical cases, and the Read more.