Last edited by Yozshugul
Monday, July 20, 2020 | History

5 edition of Impulsive Differential Equations found in the catalog. Impulsive Differential Equations

by Drumi Bainov

Written in English

Subjects:
• Applied mathematics,
• Differential Equations,
• Mathematics,
• Science/Mathematics,
• Asymptotic theory

• The Physical Object
FormatHardcover
Number of Pages230
ID Numbers
Open LibraryOL9194223M
ISBN 109810218230
ISBN 109789810218232

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

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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.

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