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A Differential Difference Equation With Two Time Lags
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Book Synopsis Differential-Delay Equations with Two Time Lags by : Roger D. Nussbaum
Download or read book Differential-Delay Equations with Two Time Lags written by Roger D. Nussbaum and published by American Mathematical Soc.. This book was released on 1978 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider differential-delay equations in order to discover if there are periodic solutions for certain specific examples.
Book Synopsis Theory of Differential Equations with Unbounded Delay by : V. Lakshmikantham
Download or read book Theory of Differential Equations with Unbounded Delay written by V. Lakshmikantham and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because the theory of equations with delay terms occurs in a variety of contexts, it is important to provide a framework, whenever possible, to handle as many cases as possible simultaneously so as to bring out a better insight and understanding of the subtle differences of the various equations with delays. Furthermore, such a unified theory would avoid duplication and expose open questions that are significant for future research. It is in this spirit that the authors view the importance of their monograph, which presents a systematic and unified theory of recent developments of equations with unbounded delay, describes the current state of the theory showing the essential unity achieved, and provides a general structure applicable to a variety of problems. It is the first book that: (i) presents a unified framework to investigate the basic existence theory for a variety of equations with delay; (ii) treats the classification of equations with memory precisely so as to bring out the subtle differences between them; (iii) develops a systematic study of stability theory in terms of two different measures which includes several known concepts; and (iv) exhibits the advantages of employing Lyapunov functions on product spaces as well as the method of perturbing Lyapunov functions. This book will be of value to researchers and advanced graduate students in mathematics, electrical engineering and biomathematics.
Book Synopsis Delay and Functional Differential Equations and Their Applications by : Klaus Schmitt
Download or read book Delay and Functional Differential Equations and Their Applications written by Klaus Schmitt and published by Elsevier. This book was released on 2014-05-10 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay and Functional Differential Equations and Their Applications provides information pertinent to the fundamental aspects of functional differential equations and its applications. This book covers a variety of topics, including qualitative and geometric theory, control theory, Volterra equations, numerical methods, the theory of epidemics, problems in physiology, and other areas of applications. Organized into two parts encompassing 25 chapters, this book begins with an overview of problems involving functional differential equations with terminal conditions in function spaces. This text then examines the numerical methods for functional differential equations. Other chapters consider the theory of radiative transfer, which give rise to several interesting functional partial differential equations. This book discusses as well the theory of embedding fields, which studies systems of nonlinear functional differential equations that can be derived from psychological postulates and interpreted as neural networks. The final chapter deals with the usefulness of the flip-flop circuit. This book is a valuable resource for mathematicians.
Book Synopsis Time-Lag Control Systems by : Og?uzto?reli
Download or read book Time-Lag Control Systems written by Og?uzto?reli and published by Academic Press. This book was released on 1966-01-01 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-Lag Control Systems
Book Synopsis Time Lags in Biological Models by : N. MacDonald
Download or read book Time Lags in Biological Models written by N. MacDonald and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: In many biological models it is necessary to allow the rates of change of the variables to depend on the past history, rather than only the current values, of the variables. The models may require discrete lags, with the use of delay-differential equations, or distributed lags, with the use of integro-differential equations. In these lecture notes I discuss the reasons for including lags, especially distributed lags, in biological models. These reasons may be inherent in the system studied, or may be the result of simplifying assumptions made in the model used. I examine some of the techniques available for studying the solution of the equations. A large proportion of the material presented relates to a special method that can be applied to a particular class of distributed lags. This method uses an extended set of ordinary differential equations. I examine the local stability of equilibrium points, and the existence and frequency of periodic solutions. I discuss the qualitative effects of lags, and how these differ according to the choice of discrete or distributed lag. The models studied are drawn from the population dynamiCS of single species (logistic growth, the chemostat) and of interacting pairs of species (predation, mutualism), from cell population dynamiCS (haemopoiesis) and from biochemical kinetics (the Goodwin oscillator). The last chapter is devoted to a population model employing difference equations. All these models include non-linear terms.
Book Synopsis Time Delay Systems: Methods, Applications and New Trends by : Rifat Sipahi
Download or read book Time Delay Systems: Methods, Applications and New Trends written by Rifat Sipahi and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is concerned with the control and dynamics of time delay systems; a research field with at least six-decade long history that has been very active especially in the past two decades. In parallel to the new challenges emerging from engineering, physics, mathematics, and economics, the volume covers several new directions including topology induced stability, large-scale interconnected systems, roles of networks in stability, and new trends in predictor-based control and consensus dynamics. The associated applications/problems are described by highly complex models, and require solving inverse problems as well as the development of new theories, mathematical tools, numerically-tractable algorithms for real-time control. The volume, which is targeted to present these developments in this rapidly evolving field, captures a careful selection of the most recent papers contributed by experts and collected under five parts: (i) Methodology: From Retarded to Neutral Continuous Delay Models, (ii) Systems, Signals and Applications, (iii): Numerical Methods, (iv) Predictor-based Control and Compensation, and (v) Networked Control Systems and Multi-agent Systems.
Book Synopsis Library of Congress Subject Headings by : Library of Congress
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 1990 with total page 1544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Results on Time-Delay Systems by : Emmanuel Witrant
Download or read book Recent Results on Time-Delay Systems written by Emmanuel Witrant and published by Springer. This book was released on 2016-02-02 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book mostly results from a selection of papers presented during the 11th IFAC (International Federation of Automatic Control) Workshop on Time-Delay Systems, which took place in Grenoble, France, February 4 - 6, 2013. During this event, 37 papers were presented. Taking into account the reviewers' evaluation and the papers' presentation the best papers have been selected and collected into the present volume. The authors of 13 selected papers were invited to participate to this book and provided a more detailed and improved version of the conference paper. To enrich the book, three more chapters have been included from specialists on time-delay systems who presented their work during the 52nd IEEE Conference on Decision and Control, which held in December 10 - 13, 2013, at Florence, Italy. The content of the book is divided into four main parts as follows: Modeling, Stability analysis, Stabilization and control, and Input-delay systems. Focusing on various topics of time-delay systems, this book will be interesting for researchers and graduate students working on control and system theory.
Book Synopsis Library of Congress Subject Headings by : Library of Congress. Office for Subject Cataloging Policy
Download or read book Library of Congress Subject Headings written by Library of Congress. Office for Subject Cataloging Policy and published by . This book was released on 1990 with total page 1534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Bellman Continuum by : Richard Ernest Bellman
Download or read book The Bellman Continuum written by Richard Ernest Bellman and published by World Scientific. This book was released on 1986 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of some of the most significant mathematical works of Prof Richard E Bellman. Ten areas of Prof Bellman's mathematical research were selected by his co-workers for this volume. Each chapter starts with an introductory comment on the significance of Bellman's contribution. Some important mathematical theories are put forward and their applications in physics and biology such as the mathematical aspect of chemotherapy and the analysis of biological systems are included in this book.
Book Synopsis Nonlinear Dynamics in Economics, Finance and the Social Sciences by : Gian Italo Bischi
Download or read book Nonlinear Dynamics in Economics, Finance and the Social Sciences written by Gian Italo Bischi and published by Springer Science & Business Media. This book was released on 2009-12-15 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.
Book Synopsis A-E by : Library of Congress. Office for Subject Cataloging Policy
Download or read book A-E written by Library of Congress. Office for Subject Cataloging Policy and published by . This book was released on 1990 with total page 1548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Models in Population Biology and Epidemiology by : Fred Brauer
Download or read book Mathematical Models in Population Biology and Epidemiology written by Fred Brauer and published by Springer Science & Business Media. This book was released on 2011-11-09 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.
Book Synopsis Elements of Mathematical Ecology by : Mark Kot
Download or read book Elements of Mathematical Ecology written by Mark Kot and published by Cambridge University Press. This book was released on 2001-07-19 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to classical and modern mathematical models, methods, and issues in population ecology.
Download or read book Dynamical Systems written by S.-N. Chow and published by Springer. This book was released on 2003-12-10 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The C.I.M.E. session on Dynamical Systems, held in Cetraro (Italy), June 19-26, 2000, focused on the latest developments in several important areas in dynamical systems, with full development and historical context. The lectures of Chow and Mallet-Paret focus on the area of lattice differential systems, the lectures of Conto and Galleotti treat the classical problem of classification of orbits for two-dimensional autonomous systems with polynomial right sides, the lectures of Nussbaum focus on applications of fixed point theorems to the problem of limiting profiles for the solutions of singular perturbations of delay differential equations, and the lectures of Johnson and Mantellini deal with the existence of periodic and quasi-periodic orbits to non-autonomous systems. The volume will be of interest to researchers and graduate students working in these areas.
Download or read book Industrial Mathematics written by and published by . This book was released on 1966 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NBS Special Publication written by and published by . This book was released on 1968 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:
