4 edition of Oscillation and dynamics in delay equations found in the catalog.
Includes bibliographical references.
|Statement||John R. Graef, Jack K. Hale, editors.|
|Series||Contemporary mathematics,, 129, Contemporary mathematics (American Mathematical Society) ;, v. 129.|
|Contributions||Graef, John R., 1942-, Hale, Jack K., American Mathematical Society. Meeting|
|LC Classifications||QA372 .O82 1992|
|The Physical Object|
|Pagination||vii, 263 p. ;|
|Number of Pages||263|
|LC Control Number||92012229|
 Baruch ient conditions for oscillations of higher order neutral delay differential equations. Conference Publications, , (Special): doi: /procCited by: 1. Description: This book is intended to be an introduction to Delay Differential Equations for upper level undergraduates or beginning graduate mathematics students who have a reasonable background in ordinary differential equations and who would like to get to the applications quickly.
Buy Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) Softcover reprint of hardcover 1st ed. by K. Gopalsamy (ISBN: ) from Amazon's Book Store. Everyday low . Kuang, Delay Differential Equations with Applications in Population Dynamics, Mathematics in Science and Engineering Vol. (Academic Press, ). (gestation periods and maturation times) and car following models for traffic flow simulation 20
Hutchinson modified the classical logistic equation, with a delay term to incorporate hatching and maturation periods into the model and account for oscillations, in the population of Daphnia, where denotes the size of the population, in the present time, describes the change of this size, at time, is the size, in some past time, is the. This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II.
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Oscillation and Dynamics in Delay Equations: Proceedings of an Ams Special Session Held January(Contemporary Mathematics) by John R. Graef (Author), Jack K. Hale (Editor) ISBN Author: Dynamics in Delay Equations, John R.
Graef, Jack K. Hale. Stability and Oscillations in Delay Differential Equations of Population Dynamics (Mathematics and Its Applications) nd Edition by K. Gopalsamy (Author)Cited by: Oscillation theory and dynamical systems have long been rich and active areas of research.
Containing frontier contributions by some of the leaders in the field, this book brings together papers based on presentations at the AMS meeting in San Francisco in January, This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations.
Topics include linear and nonlinear delay and integrodifferential equations, which have potential applications to both biological and physical dynamic processes. Chapter 1 deals with an analysis of the dynamical characteristics of the delay logistic equation, and a number of techniques and results relating to stability, oscillation.
Oscillation and dynamics in delay equations: proceedings of an AMS special session held JanuaryAuthor: John R Graef ; Jack K Hale ; American Mathematical Society.
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. Stability and Oscillations in Delay Differential Equations of Population Dynamics. Authors (view affiliations) K. Gopalsamy The Delay Logistic Equation.
Gopalsamy. Pages Delay Induced Bifurcation to Periodicity Back Matter. Pages PDF. About this book. Keywords. calculus differential equation dynamics equation function. This monograph focuses on the study of oscillation and the stability of delay models occurring in biology. The book presents recent research results on the qualitative behavior of mathematical models under different physical and environmental conditions, covering dynamics including the distribution and consumption of by: 4.
Abstract This paper is concerned with oscillatory behavior of a class of fourth-order delay dynamic equations on a time scale. In the general time scales case, four oscillation theorems. linear delay dynamic inequality () y (t)+p(t)y(˝(t)) 0 for t 2 T and uni ed oscillation criteria of delay di erential and di erence equa-tions.
In this paper, we consider the second order linear delay dynamic equation () x (t)+p(t)x(˝(t)) = 0 for t 2 T on a time scale, where the function p is rd-continuous such that p(t) > 0. In this paper, we shall study the oscillation of all positive solutions of the nonlinear delay differential equation and about their equilibrium points.
Also, we study the stability of these equilibrium points and prove that every nonoscillatory positive solution tends to the equilibrium point when t tends to infinity.
Where equation (*) proposed by Mackey and Cited by: Oscillation of delay dynamic equations with oscillating coefficients. and fo r delay difference equatio ns with oscillating coefﬁcients, the reade rs are re f ereed to th e papers [12, Integrodifferential Equations and Delay Models in Population Dynamics.
Authors: Cushing, J. Free Preview. Buy this book eB40 as far as stability of equilibria and the nature of oscillations of species densities are concerned. A secondary pur pose of the course out of which they evolved was to give students an (at least.
Oscillation and stability in nonlinear delay differential equations of population dynamics. This monograph provides a definitive overview of recent advances in the stability and oscillation of autonomous delay differential equations.
Topics include linear and nonlinear delay. Stability and Oscillations in Delay Differential Equations of Population Dynamics by K. Gopalsamy,available at Book Depository with free delivery worldwide. Our results extend and improve some known theorems, but also unify the oscillation of the second-order nonlinear delay differential equation with damping and the second-order nonlinear delay.
The theory of the oscillation is one of the most interesting topics for applications. In recent years, the oscillations of difference equations [1,2], dynamic equations [3,4] and delay differential. Oscillations in SIRS model with distributed delays 5 of equations for the fraction of susceptible and infectious sub-populations (bear in mind that r(t) = 1− s(t)− i(t), so that just two equations describe the dynamics): ds(t) dt = −β s(t)i(t)+βs(t− τ0)i(t− τ0), (2a) di(t) dt = β s(t)i(t)−β s(t− τi)i(t− τi).
(2b) Before proceeding with the detailed analysis of the above. Time delay differential equations have been helpful in the testing of algorithms for the computation of quantitative measures which can be used to characterize complex dynamics in both model equations and physical and biological systems.
One measure being intensively studied is the dimension. Periodic solutions and oscillation of discrete non-linear delay population dynamics model with external force Article (PDF Available) in IMA Journal of Applied Mathematics 70(6) .In mathematics, delay differential equations (DDEs) are a type of differential equation in which the derivative of the unknown function at a certain time is given in terms of the values of the function at previous times.
DDEs are also called time-delay systems, systems with aftereffect or dead-time, hereditary systems, equations with deviating argument, or differential-difference equations.Abstract. Chapter 4 deals with nonoscillation properties of scalar linear differential equations with a distributed delay.
It is usually believed that equations with a distributed delay, which involve differential equations with several variable delays, integrodifferential equations and mixed equations with concentrated delays and integral terms, provide a more realistic description Cited by: