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Author : R. D. Braddock
Publisher :
ISBN 13 :
Total Pages : 94 pages
Book Rating : 4.:/5 (294 download)
Download or read book A Differential-difference Equation with Two Time Lags written by R. D. Braddock and published by . This book was released on 1980 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Roger D. Nussbaum
Publisher : American Mathematical Soc.
ISBN 13 : 0821822055
Total Pages : 72 pages
Book Rating : 4.8/5 (218 download)
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.
Author : Richard Bellman
Publisher :
ISBN 13 :
Total Pages : 13 pages
Book Rating : 4.:/5 (222 download)
Download or read book Numerical Integration of a Differential-difference Equation with a Decreasing Time-lag written by Richard Bellman and published by . This book was released on 1964 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt: Systems in which variable time-lags are present are of common occurrence in biology. Variable flow rates are a common cause of these variable lags. At present no extensive body of knowledge exists concerning the effects which these variable lags can cause. In this first memorandum it is shown how to reduce some differentialdifference equations to ordinary differential equations which can then be studied numerically with ease. Subsequent memoranda will deal with situations in which multiple-lags and lags dependent on the solution itself are present. New types of phenomena which are important for the qualitative understanding of such systems are to be discussed later. (Author).
Author : Halanay
Publisher : Academic Press
ISBN 13 : 0080955290
Total Pages : 543 pages
Book Rating : 4.0/5 (89 download)
Download or read book Differential Equations written by Halanay and published by Academic Press. This book was released on 1966-01-01 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Equations
Author : A. HALANAY
Publisher :
ISBN 13 :
Total Pages : 528 pages
Book Rating : 4.:/5 (528 download)
Download or read book Differential Equations written by A. HALANAY and published by . This book was released on 1966 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. Lakshmikantham
Publisher : Springer Science & Business Media
ISBN 13 : 146152606X
Total Pages : 390 pages
Book Rating : 4.4/5 (615 download)
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.
Author : Bellman
Publisher : Academic Press
ISBN 13 : 0080955142
Total Pages : 484 pages
Book Rating : 4.0/5 (89 download)
Download or read book Differential-Difference Equations written by Bellman and published by Academic Press. This book was released on 1963-01-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential-Difference Equations
Author : Balakumar Balachandran
Publisher : Springer Science & Business Media
ISBN 13 : 0387855955
Total Pages : 349 pages
Book Rating : 4.3/5 (878 download)
Download or read book Delay Differential Equations written by Balakumar Balachandran and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay Differential Equations: Recent Advances and New Directions cohesively presents contributions from leading experts on the theory and applications of functional and delay differential equations (DDEs). Students and researchers will benefit from a unique focus on theory, symbolic, and numerical methods, which illustrate how the concepts described can be applied to practical systems ranging from automotive engines to remote control over the Internet. Comprehensive coverage of recent advances, analytical contributions, computational techniques, and illustrative examples of the application of current results drawn from biology, physics, mechanics, and control theory. Students, engineers and researchers from various scientific fields will find Delay Differential Equations: Recent Advances and New Directions a valuable reference.
Author : N. MacDonald
Publisher : Springer Science & Business Media
ISBN 13 : 3642931073
Total Pages : 122 pages
Book Rating : 4.6/5 (429 download)
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.
Author : Linda Allen
Publisher : World Scientific
ISBN 13 : 9814479217
Total Pages : 336 pages
Book Rating : 4.8/5 (144 download)
Download or read book Difference Equations And Discrete Dynamical Systems - Proceedings Of The 9th International Conference written by Linda Allen and published by World Scientific. This book was released on 2005-10-07 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Difference Equations or Discrete Dynamical Systems is a diverse field which impacts almost every branch of pure and applied mathematics. Not surprisingly, the techniques that are developed vary just as broadly. No more so is this variety reflected than at the prestigious annual International Conference on Difference Equations and Applications. Organized under the auspices of the International Society of Difference Equations, the Conferences have an international attendance and a wide coverage of topics.The contributions from the conference collected in this volume invite the mathematical community to see a variety of problems and applications with one ingredient in common, the Discrete Dynamical System. Readers may also keep abreast of the many novel techniques and developments in the field.The special emphasis of the meeting was on mathematical biology and accordingly about half of the articles are in the related areas of mathematical ecology and mathematical medicine.
Author : Thomas Erneux
Publisher : Springer Science & Business Media
ISBN 13 : 0387743723
Total Pages : 204 pages
Book Rating : 4.3/5 (877 download)
Download or read book Applied Delay Differential Equations written by Thomas Erneux and published by Springer Science & Business Media. This book was released on 2009-03-06 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.
Author : Klaus Schmitt
Publisher : Elsevier
ISBN 13 : 1483272338
Total Pages : 414 pages
Book Rating : 4.4/5 (832 download)
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.
Author : Jiaoxun Kuang
Publisher : Elsevier
ISBN 13 : 9787030163172
Total Pages : 312 pages
Book Rating : 4.1/5 (631 download)
Download or read book Stability of Numerical Methods for Delay Differential Equations written by Jiaoxun Kuang and published by Elsevier. This book was released on 2005 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed by Elsevier Science on behalf of Science Press. Available internationally for the first time, this book introduces the basic concepts and theory of the stability of numerical methods for solving differential equations, with emphasis on delay differential equations and basic techniques for proving stability of numerical methods. It is a desirable reference for engineers and academic researchers and can also be used by graduate students in mathematics, physics, and engineering. Emphasis on the stability of numerical methods for solving delay differential equations, which is vital for engineers and researchers applying these mathematical models Introduces basic concepts and theory as well as basic techniques for readers to apply in practice Can be used as for graduate courses or as a reference book for researchers and engineers in related areas Written by leading mathematicians from Shanghai Normal University in China
Author : Og?uzto?reli
Publisher : Academic Press
ISBN 13 : 0080955304
Total Pages : 337 pages
Book Rating : 4.0/5 (89 download)
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
Author : Kai Liu
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110560569
Total Pages : 302 pages
Book Rating : 4.1/5 (15 download)
Download or read book Complex Delay-Differential Equations written by Kai Liu and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-06-08 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents developments and new results on complex differential-difference equations, an area with important and interesting applications, which also gathers increasing attention. Key problems, methods, and results related to complex differential-difference equations are collected to offer an up-to-date overview of the field.
Author : Yang Kuang
Publisher : Academic Press
ISBN 13 : 0080960022
Total Pages : 413 pages
Book Rating : 4.0/5 (89 download)
Download or read book Delay Differential Equations written by Yang Kuang and published by Academic Press. This book was released on 1993-03-05 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Delay Differential Equations emphasizes the global analysis of full nonlinear equations or systems. The book treats both autonomous and nonautonomous systems with various delays. Key topics addressed are the possible delay influence on the dynamics of the system, such as stability switching as time delay increases, the long time coexistence of populations, and the oscillatory aspects of the dynamics. The book also includes coverage of the interplay of spatial diffusion and time delays in some diffusive delay population models. The treatment presented in this monograph will be of great value in the study of various classes of DDEs and their multidisciplinary applications.
Author : R. D. Driver
Publisher : Springer Science & Business Media
ISBN 13 : 1468494678
Total Pages : 513 pages
Book Rating : 4.4/5 (684 download)
Download or read book Ordinary and Delay Differential Equations written by R. D. Driver and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is designed for the intermediate-level course on ordinary differential equations offered at many universities and colleges. It treats, as standard topics of such a course: existence and uniqueness theory, linear s- terns, stability theory, and introductory phase-plane analysis of autonomous second order systems. The unique feature of the book is its further inc- sion of a substantial introduction to delay differential eq- tions. Such equations are motivated by problems in control theory, physics, biology, ecology, economics, inventory c- trol, and the theory of nuclear reactors. The surge of interest in delay differential equations during the past two or three decades is evidenced by th- sands of research papers on the subject and about 20 published books devoted in whole or in part to these equations. The v * ... books include those of Myskis [1951], El' sgol' c [1955] and [1964], Pinney [1958], Krasovskil [1959], Bellman and Cooke [1963], Norkin [1965], Halanay [1966], Oguztoreli [1966], Lakshmikantham and Leela [1969], Mitropol'skir and Martynjuk [1969], Martynjuk [1971], and Hale [1971], plus a number of symposium and seminar proceedings published in the U.S. and the U.S.S.R. These books have influenced the present textbook.
