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Friday, April 24, 2020 | History

6 edition of Oscillation theory for neutral differential equations with delay found in the catalog.

Oscillation theory for neutral differential equations with delay

  • 73 Want to read
  • 34 Currently reading

Published by A. Hilger in Bristol, Philadelphia .
Written in English

    Subjects:
  • Differential equations -- Delay equations.,
  • Oscillations.

  • Edition Notes

    Includes bibliographical references (p. [268]-277) and index.

    StatementD.D. Bainov, D.P. Mishev.
    ContributionsMishev, D. P.
    Classifications
    LC ClassificationsQA372 .B274 1991
    The Physical Object
    Paginationvi, 280 p. ;
    Number of Pages280
    ID Numbers
    Open LibraryOL1537016M
    ISBN 100750301422
    LC Control Number91015249

    There are numerous books on oscillation theory for di erential equations such as [1, 2, 5, 6], to name but a few. The monograph by Agarwal, Grace, and O’Regan is an excellent addition to the existing literature. It covers topics related to oscillation theory for di erential equations with deviating. In this paper, new sufficient conditions for oscillation of fourth-order neutral differential equations are established. One objective of our paper is to further improve and complement some well-known results which were published recently in the literature. Symmetry ideas are often invisible in these studies, but they help us decide the right way to study them, and to show us the correct Cited by: 1.


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Oscillation theory for neutral differential equations with delay by D. Baĭnov Download PDF EPUB FB2

Oscillation Theory for Neutral Differential Equations with Delay fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, this authoritative book provides a stimulus to research the oscillatory and asymptotic properties of these : Hardcover.

Oscillation Theory for Neutral Differential Equations with Delay fills a vacuum in qualitative theory of functional differential equations of neutral type. With much of the presented material previously unavailable outside Eastern Europe, this authoritative book provides a stimulus to research the oscillatory and asymptotic properties of these equations.

In recent years there has been a resurgence of interest in the study of delay differential equations motivated largely by new applications in physics, biology, ecology, and physiology.

The aim of this monograph is to present a reasonably self-contained account of the advances in the oscillation theory of this class of by: Our current book tends to center around the relevant oscillation of second and third order functional differential and difference equations, neutral differential and difference equations and some applications on partial delay equations.

The book stresses the similarty of the techniques used in studying oscillation of differential and difference equations and brings the reader to the forefront Cited by: 9. Oscillation Theory of Delay Differential Equations: With Applications I.

Györi, G. Ladas In recent years there has been a resurgence of interest in the study of delay differential equations motivated largely by new applications in physics, biology, ecology, and physiology. Bainov and D. Mishev,Oscillation Theory for Neutral Differential with Delay, Adam Hilger, New York ().

zbMATH Google Scholar 4. Dib and R. Mathsen, Oscillation of solutions of neutral delay differential equations, Math. Comp. Model. 32 (), – zbMATH CrossRef MathSciNet Google ScholarCited by: 1.

In this paper we shall consider the nonlinear neutral delay differential equations with variable coefficients. Some new sufficient con-ditions for oscillation of all solutions are obtained. In a neutral delay differential equation, the highest-order derivative of the unknown func- tion appears both with and without delay.

The qualitative study of such equations has, besides its theoretical interest, significant practical importance. Our results generalize and improve some known results for oscillation of second order neutral delay differential equations.

Our results are illustrated with an example. Mathematics Subject. In recent years the literature on the oscillation theory of neutral dela y di ff erential equations is growing very fast.

This is due to the fact that the neutral delay di ff eren. Some new oscillation criteria are given for first order neutral delay differential equations with variable coefficients.

Our results generalize and extend some of the well-known results in the. Oscillation of neutral delay differential equations - Volume 45 Issue 2 - Jianshe Yu, Zhicheng Wang, Chuanxi Qian Skip to main content We use cookies to distinguish you from other users and to provide you with a better experience on our by: Oscillation criteria are obtained for all solutions of first-order nonlinear neutral delay differential equations.

Our results extend and improve some results well known in the literature. Oscillation theory of delay differential equations: with applications. In recent years there has been a resurgence of interest in the study of delay differential equations motivated largely by new applications in physics, biology, ecology, and physiology.

Oscillation criteria are established for third-order neutral delay differential equations with deviating arguments. These criteria extend and generalize those results in the literature.

Moreover, some illustrating examples are also provided to show the importance of our by: 2. PREFACENOTATIONINTRODUCTIONPreliminary notesAuxiliary assertionsFIRST ORDER NEUTRAL ORDINARY DIFFERENTIAL EQUATIONSFirst order linear differential equationsFirst order differential equations with constant coefficientsFirst order differential equations with distributed delayFirst order nonlinear differential equationsOscillation and comparison of results in neutral differential equations and their applications to the delay logistic equationNotes and comments to chapter 2SECOND ORDER NEUTRAL.

Book Description. 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.

Journals & Books; Help Vol Issues 1–2, JulyPages Oscillation of third-order neutral differential equations. Győri, G. LadasOscillation Theory of Delay Differential Equations with Applications.

Clarendon Press, Oxford () Zbl Cited by: The second auxiliary result is the equivalence of oscillation properties of the neutral equation and a specially constructed equation with an infinite number of delays, such equations were considered in Chap. This method allows to deduce sufficient oscillation conditions for neutral : Ravi P.

Agarwal, Leonid Berezansky, Elena Braverman, Alexander Domoshnitsky. MATHEMATICAL AND COMPUTER MODELLING PERGAMON Mathematical and Computer Modelling 32 () er. nl/locate/mcm Oscillation of Solutions of Neutral Delay Differential Equations K.

DIB General Requirements Unit United Arab Emirates University Al Ain, U.A.E. MATHSEN Mathematics Department North Dakota State University Cited by: 9. In nine chapters, the book covers a wide range of subjects, including oscillation theory for second-order linear difference equations, systems of difference equations, half-linear difference equations, nonlinear difference equations, neutral difference equations, delay difference equations, and differential equations with piecewise constant.

The chapter is devoted to study the oscillation of all solutions to second‐order nonlinear neutral damped differential equations with delay argument.

New oscillation criteria are obtained by employing a refinement of the generalized Riccati transformations and integral averaging : Said R.

Grace, Irena Jadlovská. That theorem introduced the idea of studying the oscillation of the solutions of a neutral delay differential equation by means of the characteristic equation and influenced subsequent work in the literature, as when Grove, Ladas and Meimaridou , generalized the result in  to the case where p, q, τ, and σ are real numbers, using an adaptation of the proof in .Cited by: 4.

In the last few decades, there has been increasing interest in obtaining sufficient conditions for the oscillation and nonoscillation of solutions of different classes of second order neutral delay differential equations, see for example [2, 6, 7, 9] and the references quoted therein.

The aim of this paper is to study the oscillation of the second order neutral differential equations (E)(r(t)[x(t)+p(t)x(τ(t))]′)′+q(t)x(σ(t))=0. The obtained results are based on the new comparison theorems, that enable us to reduce the problem of the oscillation of the second order equation to the oscillation of the first order by: Oscillation of First Order Delay Differential Equations Oscillation Theory of Differential Equations with Deviating Arguments, Dekker, New York () J.

YanOscillation in first order neutral differential equations with “integrally small” coefficients. Math.

Anal. Appl., (), pp. Cited by: 2. Consider the third-order neutral delay differential equation. Let. It follows from Theorem that every solution of is almost oscillatory.

One such solution is. Example Consider the third-order neutral delay differential equation where. by: Some new oscillation criteria are given for first order neutral delay differential equations with variable coefficients.

Our results generalize and extend some of the well-known results in the literature. Some examples are considered to illustrate the main by: 4.

In this monograph, the authors present a compact, thorough, systematic, and self-contained oscillation theory for linear, half-linear, superlinear, and sublinear second-order ordinary differential equations. An important feature of this monograph is the illustration of several results with examples of current interest.

This paper is concerned with the oscillation of first-order delay differential equations. where p (t) and τ(t) are piecewise continuous and nonnegative functions and τ(t) is non-decreasing. A new oscillation criterion is by: 1.

Abstract: In this paper, the oscillatory behavior of solutions of a general class of nonlinear neutral delay differential equations is discussed. New criteria are established. Illustrative examples are also given to support the validity of the method.

Key-Words: Oscillation, Second order, Non-linear neutral delay differential : M. El-Sheikh, R. Sallam, E. El-Saedy. Buy Nonoscillation and Oscillation Theory for Functional Differential Equations (Pure & Applied Mathematics) on FREE SHIPPING on qualified orders Nonoscillation and Oscillation Theory for Functional Differential Equations (Pure & Applied Mathematics): Ravi P.

Agarwal, Martin Bohner, Wan-Tong Li: : BooksCited by: Grace and Lalli studied a second-order nonlinear neutral delay differential equation under the assumptions that They proved that is oscillatory if there exists a function such that Hasanbulli and Rogovchenko obtained several oscillation criteria for a nonlinear neutral differential Cited by: 8.

“The book under review complements the theory of delay equations by mainly focusing on nonoscillation, and its relation with stability, boundary value problems, and some other close subjects.

It is completely self-contained. This book is a useful and good reference for researchers in qualitative theory of ordinary differential equations .Brand: Springer-Verlag New York. oscillatory theory of solutions of fractional differential equations has received a great deal of attention [15][9].

- In the last few years, many authors studied the oscillation of a time-fractional partial differential equations [16] [17]. There are only few works has been done on oscillation of forced neutral fractional p artial differential. The oscillation criteria are investigated for all solutions of second order nonlinear neutral delay differential equations.

Our results extend and improve some results well known in the literature see ([14] theorem and theorem pp). Some examples are given to Author: Hussain Ali Mohamad, Intidhar Zamil Mushtt.

Some new sufficient conditions for oscillation of all solutions of the first-order linear neutral delay differential equations are obtained. Our new results improve many well-known results in the literature. Some examples are inserted to illustrate our by: 1. In the last decades, there has been an increasing interest in obtaining sufficient conditions for the oscillation and/or nonoscillation of second-order linear and nonlinear delay differential equations (see, for example, [1–22] and the references therein).

Let us Cited by: 3. 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).

Introduction. During the past few decades, neutral differential equations have been studied extensively and the oscillatory theory for these equations is well developed; see [1–19] and the references cited fact, the developments of oscillation theory for the neutral differential equations began in with the appearance of the paper of Ladas and Sficas [].Cited by: 1.

In this paper, oscillatory and asymptotic behavior of solutions of a class of nonlinear second order neutral differential equations with positive and negative Author: Saroj Panigrahi, Rakhee Basu.Nonoscillation and Oscillation Theory for Functional Differential Equations pdf Nonoscillation and Oscillation Theory for Functional Differential Equations pdf: By Ravi P.

Agarwal, Martin Bohner and Wan-Tong Li Series: Pure and Applied Mathematics Publisher: CRC Press, Year: ISBN: , Search in Description: .Get this from a library!

Oscillation Theory for Functional Differential Equations. [Lynn Erbe] -- "Examines developments in the oscillatory and nonoscillatory properties of solutions for functional differential equations, presenting basic oscillation theory as well as recent results.

The book.