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Monday, May 4, 2020 | History

8 edition of Impulsive differential equations with a small parameter found in the catalog.

# Impulsive differential equations with a small parameter

Written in English

Subjects:
• Differential equations

• Edition Notes

Classifications The Physical Object Statement Drumi Bainov, Valéry Covachev. Series Series on advances in mathematics for applied sciences ;, v. 24 Contributions Covachev, Valéry. LC Classifications QA372 .B276 1994 Pagination viii, 268 p. ; Number of Pages 268 Open Library OL1085742M ISBN 10 9810214340 LC Control Number 94009636

to the theory of ordinary differential equations. Still many impulsive differential equations cannot be solved analytically or it is very difﬁcult to solve because the solution is not continuous at impulse moments. In this paper, an algorithm to solve impulsive differential equations by File Size: KB. Initial value problems for integro-differential equations of Volterra type in Banach spaces 13 Dajun Guo. The probabilitist approach to the analysis of the limiting behavior of an integro-differential equation depending on a small parameter, and its application to stochastic processes 25 O.V. Borisenko, A.D. Borisenko and I.G. Malyshev. Hi /r/math,. I've recently come across some models that make use of "impulsive differential equations" used in epidemiologic modeling. I have taken a differential equation course in my undergrad, but we dealt with smooth, continuous functions.

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### Impulsive differential equations with a small parameter by D. BaiМ†nov Download PDF EPUB FB2

This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction.

In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are Cited by:   This book is devoted to impulsive differential equations with a small parameter.

It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed Impulsive differential equations with a small parameter book differential equations are considered.

Get this from a library. Impulsive differential equations with a small parameter. [Dimitŭr Baĭnov; Valéry Covachev; World Scientific (Firm)] -- Ch.

Preliminary notes and auxiliary assertions. Impulsive differential equations with a small parameter book.

General characteristics of the impulsive differential equations. Integral inequalities for piecewise continuous functions Discussing the impulsive differential equations with a small parameter, this work introduces the subject and covers: regularly perturbed impulsive differential equations and modifications of the Read more.

Periodic linear impulsive differential equations are studied in detail. The use of the small parameter method in noncritical and critical cases is justified. The question of the existence of periodic solutions of nonlinear impulsive differential equations is Impulsive differential equations with a small parameter book and various approximate methods of finding these solutions are cturer: Routledge.

Periodic linear impulsive differential equations are studied in detail. The use of the small parameter method in noncritical and critical cases is justified. The question of the existence of periodic solutions of nonlinear Impulsive differential equations with a small parameter book differential equations is discussed and various approximate methods of finding these solutions are justified.5/5(1).

This Book; Anywhere; Series on Advances in Mathematics for Applied Sciences Impulsive Differential Equations with a Small Parameter, pp. () No Access. Almost periodic solutions of singularly perturbed linear systems of impulsive differential equations.

Impulsive differential equations. Auxiliary assertions. Notes and comments for Chapter I. Linear Impulsive Periodic Equations. Linear homogeneous periodic equations.

Linear non-homogeneous impulsive equations. Notes and comments for Chapter II. Method of the Small Parameter.

Non-critical Case. Quasilinear Impulsive differential equations with a small parameter book with fixed moments of an Cited by: 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 duration is negligible in comparison with the duration of the process. Consequently, it is natural to assume that these perturbations act instantaneously, that is, in the form of impulses.5/5(1).

Buy Impulsive Differential Equations With A Small Parameter by Valery Covachev, Drumi D. Bainov from Waterstones today. Click and Collect from your local Waterstones. Book Description Table of Contents Author(s) Book Description 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 large number of concrete mathematical models.

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.

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.

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 reduced two-dimensional impulsive HIV system.

The rst application is a system describingFile Size: 6MB. 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.

Compartmental models simplify the mathematical modelling of infectious population is assigned to compartments with labels - for example, S, I, or R, (Susceptible, Infectious, or Recovered).People may progress between compartments.

The order of the labels usually shows the flow patterns between the compartments; for example SEIS means susceptible, exposed, infectious, then. Applied Mathematical Sciences, Vol. 4,no. 65, - Impulsive Differential Equations by using the Euler Method Nor Shamsidah Bt Amir Hamzah1, Mustafa bin Mamat2, J.

Kavikumar3, Lee Siaw Chong4 and Noor’ani Bt Ahmad5 1, 2, 5 Department of Mathematics, Faculty of Science and Technology Universiti Malaysia Terengganu, Kuala Terengganu, Terengganu, Malaysia. Tikhonov Theorem for Differential Equations with Singular Impulses.

has the small parameter in impulse function, the discontinuity The parameter in a the impulsive equation makes it.

First-order impulsive dynamic equations on time scales Impulsive functional dynamic equations on time scales with inﬁnite delay Second-order impulsive dynamic equations on time scales Existence results for second-order boundary value problems of impulsive dynamic equations on time scales The successive terms in a uniformly valid multitime expansion of the solutions of constant coefficient differential equations containing a small parameter Ã Âµ may be obtained without resorting.

A practical and accessible introduction to numerical methods for stochastic differential equations is given. The reader is assumed to be familiar with Euler's method for deterministic differential equations and to have at least an intuitive feel for the concept of a random variable; however, no knowledge of advanced probability theory or stochastic processes is by:   Bainov, D., Covachev, V.: Impulsive Differential Equations with a Small Parameter.

Series on Advances in Mathematics for Applied Sciences, vol. World Scientific, Singapore () zbMATH CrossRef Google Scholar. 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:   Applying the eigenvalue theory and theory of α-concave operator, we establish some new sufficient conditions to guarantee the existence and continuity of positive solutions on a parameter for a second-order impulsive differential rmore, two nonexistence results of positive solutions are also given.

In particular, we prove that the unique solution $$u_{\lambda}(t)$$ of the Cited by: 2. Motivated by the above discussion, in this paper we shall study a class of singularly perturbed nonlinear impulsive delay differential systems, where the time delays include a small parameter.

Some novel global asymptotic stability results which are dependent on singular perturbation and time delays of small parameter are by: 6. We are concerned with a type of impulsive fractional differential equations attached with integral boundary conditions and get the existence of at least one positive solution via Cited by: In this paper, by means of the method of upper and lower solutions and monotone iterative technique, the existence of maximal and minimal solutions of the boundary value problems for first order impulsive delay differential equations is by: stability,dissipativity,ton,NJ:PrincetonUniversityPress.

We remark that on impulsive differential equations with a parameter only a few results have been obtained, not to mention impulsive differential equations with two parameters; see, for instance, [12, 18, 19, 45].

These results only dealt with the case that by: 4. systems of differential equations with impulses. The theory of impulsive differential equations is 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 by: 4.

Impulsive Differential Equations with a (World Scientific Series in Robotics and Automated Systems) This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves FREE Delivery Across United Arab Emirates. FREE Returns.

5M+ Products. A number of results obtained for differential equations of the type (1) was applied to integro-differential equations with a small parameter (see, for example,).

There is also a large number of studies on partial differential equations containing a small parameter as coefficient of the leading derivative, [7], [10].

Introduction to linear systems of differential equations / L. Adrianova ; [translated from the Russian by Peter Zhevandrov]. QA A Ordinary and partial differential equations: with special functions, Fourier series, and boundary value problems / by Ravi P.

Agarwal, Donal O'Regan. The research in the theory of differential systems with impulsive action was originated by Myshkis and Samoilenko [], Samoilenko and Perestyuk [], Halanay and Wexler [], and Schwabik et al.

[].The ideas proposed in these works were developed and generalized in numerous other publications [].The aim of this contribution is, using the theory of impulsive differential equations, using the well Cited by: 7.

In this paper, we study the existence of coupled solutions of anti-periodic boundary value problems for impulsive differential equations with ϕ-Laplacian operator. Based on a pair of coupled lower and upper solutions and appropriate Nagumo condition, we prove the existence of coupled solutions for anti-periodic impulsive differential equations boundary value problems with ϕ-Laplacian : Xiufeng Guo.

In this paper, we establish the existence of piece wise (PC)-mild solutions (defined in Section 2) for non local fractional impulsive functional integro-differential equations with finite delay. The proofs are obtained using techniques of fixed point theorems, semi-group theory and generalized Bellman inequality.

In this paper, we used the distributed characteristic operators to define a mild Cited by: 2. Periodic parameters are common and important in stochastic differential equations (SDEs) arising in many contemporary scientific and engineering fields involving dynamical processes.

These parameters include the damping coefficient, the volatility or diffusion coefficient and possibly an external by: 1. In this paper, an investigation is initiated of boundary-value problems for singularly perturbed linear second-order differential-difference equations with small shifts, i.e., where the second-order derivative is multiplied by a small parameter and the shift depends on the small by: 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.

This paper is concerned with the existence of solutions to a boundary value problem of a fourth-order impulsive differential equation with a control parameter λ. By employing some existing critical point theorems, we find the range of the control parameter in which the boundary value problem admits at least one solution.

It is also shown that under certain conditions there exists an interval Cited by:. In this paper, we study the solution pdf impulsive fractional differential equations pdf multiple delays by using the nonlinear alternative of Leray–Schauder and the Banach fixed point method.

Also, we prove that the equations have at least one solution or unique solution with certain conditions. In the last part, we give two examples to illustrate the usefulness of the main by: 1.Measure functional differential equations and impulsive functional dynamic equations on time scales Jaqueline Godoy Mesquita!

Advisor: Profa. Dra. Márcia Cristina A. B. Federson! Co-advisor: Prof. Dr. Antonín Slavík Doctoral dissertation submitted to the Instituto de Ciências Matemáticas e de Computação .will ebook have any impulsive behavior at the origin (R 0+ 0 h(t)dt= 0).

The right hand side evaluates ebook Z 0+ 0 b 0 (t)dt= b 0: (6) Combining these two, we get h(0+) = b 0=a 1:Using our homogeneous solution, we have h(t) = Ae 0tu(t) and Amust satisfy h(0) = b 0=a 1:Therefore, h(t) = b 0 a 1 e 0tu(t) (7) N = 2: Now, consider N = 2:a 0h(t) + a 1 File Size: KB.