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Author : Carlos Perello
Publisher :
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.:/5 (238 download)
Download or read book Periodic Solutions of Ordinary Differential Equations with and Without Time Lag written by Carlos Perello and published by . This book was released on 1965 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : T. A. Burton
Publisher : Elsevier
ISBN 13 : 0080958672
Total Pages : 349 pages
Book Rating : 4.0/5 (89 download)
Download or read book Stability and Periodic Solutions of Ordinary and Functional Differential Equations written by T. A. Burton and published by Elsevier. This book was released on 1985-12-19 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression.- Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
Author : Franz Kappel
Publisher :
ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (897 download)
Download or read book Periodic solutions of systems of ordinary differential equations which approximate delay equations written by Franz Kappel and published by . This book was released on 1987 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : Yoshiyuki Hino
Publisher : CRC Press
ISBN 13 : 9780415272667
Total Pages : 276 pages
Book Rating : 4.2/5 (726 download)
Download or read book Almost Periodic Solutions of Differential Equations in Banach Spaces written by Yoshiyuki Hino and published by CRC Press. This book was released on 2001-10-25 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent developments in spectral conditions for the existence of periodic and almost periodic solutions of inhomogenous equations in Banach Spaces. Many of the results represent significant advances in this area. In particular, the authors systematically present a new approach based on the so-called evolution semigroups with an original decomposition technique. The book also extends classical techniques, such as fixed points and stability methods, to abstract functional differential equations with applications to partial functional differential equations. Almost Periodic Solutions of Differential Equations in Banach Spaces will appeal to anyone working in mathematical analysis.
Author : Joseph Wiener
Publisher : World Scientific
ISBN 13 : 9789810212070
Total Pages : 428 pages
Book Rating : 4.2/5 (12 download)
Download or read book Generalized Solutions of Functional Differential Equations written by Joseph Wiener and published by World Scientific. This book was released on 1993 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: The need to investigate functional differential equations with discontinuous delays is addressed in this book. Recording the work and findings of several scientists on differential equations with piecewise continuous arguments over the last few years, this book serves as a useful source of reference. Great interest is placed on discussing the stability, oscillation and periodic properties of the solutions. Considerable attention is also given to the study of initial and boundary-value problems for partial differential equations of mathematical physics with discontinuous time delays. In fact, a large part of the book is devoted to the exploration of differential and functional differential equations in spaces of generalized functions (distributions) and contains a wealth of new information in this area. Each topic discussed appears to provide ample opportunity for extending the known results. A list of new research topics and open problems is also included as an update.
Author : Yoshiyuki Hino
Publisher : Springer
ISBN 13 : 3540473882
Total Pages : 326 pages
Book Rating : 4.5/5 (44 download)
Download or read book Functional Differential Equations with Infinite Delay written by Yoshiyuki Hino and published by Springer. This book was released on 2006-11-14 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the theory of functional differential equations with infinite delay, there are several ways to choose the space of initial functions (phase space); and diverse (duplicated) theories arise, according to the choice of phase space. To unify the theories, an axiomatic approach has been taken since the 1960's. This book is intended as a guide for the axiomatic approach to the theory of equations with infinite delay and a culmination of the results obtained in this way. It can also be used as a textbook for a graduate course. The prerequisite knowledge is foundations of analysis including linear algebra and functional analysis. It is hoped that the book will prepare students for further study of this area, and that will serve as a ready reference to the researchers in applied analysis and engineering sciences.
Author : Anthony John Schaeffer
Publisher :
ISBN 13 :
Total Pages : 162 pages
Book Rating : 4.:/5 (29 download)
Download or read book Invariant Surfaces of Ordinary Differential Equations with and Without Time Lag written by Anthony John Schaeffer and published by . This book was released on 1967 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : John Mallet-Paret
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (258 download)
Download or read book Periodic Solutions for Functional Differential Equations with Multiple State-dependent Time Lags written by John Mallet-Paret and published by . This book was released on 1993 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : T. A. Burton
Publisher : Courier Corporation
ISBN 13 : 0486442543
Total Pages : 370 pages
Book Rating : 4.4/5 (864 download)
Download or read book Stability & Periodic Solutions of Ordinary & Functional Differential Equations written by T. A. Burton and published by Courier Corporation. This book was released on 2005-06-03 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book's discussion of a broad class of differential equations will appeal to professionals as well as graduate students. Beginning with the structure of the solution space and the stability and periodic properties of linear ordinary and Volterra differential equations, the text proceeds to an extensive collection of applied problems. The background for and application to differential equations of the fixed-point theorems of Banach, Brouwer, Browder, Horn, Schauder, and Tychonov are examined, in addition to those of the asymptotic fixed-point theorems. The text concludes with a unified presentation of the basic stability and periodicity theory for nonlinear ordinary and functional differential equations.
Author : K. Gopalsamy
Publisher : Springer Science & Business Media
ISBN 13 : 9401579202
Total Pages : 514 pages
Book Rating : 4.4/5 (15 download)
Download or read book Stability and Oscillations in Delay Differential Equations of Population Dynamics written by K. Gopalsamy and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 and comparison of scalar delay and integrodifferential equations are presented. Chapter 2 provides a tutorial-style introduction to the study of delay-induced Hopf bifurcation to periodicity and the related computations for the analysis of the stability of bifurcating periodic solutions. Chapter 3 is devoted to local analyses of nonlinear model systems and discusses many methods applicable to linear equations and their perturbations. Chapter 4 considers global convergence to equilibrium states of nonlinear systems, and includes oscillations of nonlinear systems about their equilibria. Qualitative analyses of both competitive and cooperative systems with time delays feature in both Chapters 3 and 4. Finally, Chapter 5 deals with recent developments in models of neutral differential equations and their applications to population dynamics. Each chapter concludes with a number of exercises and the overall exposition recommends this volume as a good supplementary text for graduate courses. For mathematicians whose work involves functional differential equations, and whose interest extends beyond the boundaries of linear stability analysis.
Author : A.M. Fink
Publisher : Springer
ISBN 13 : 3540383077
Total Pages : 345 pages
Book Rating : 4.5/5 (43 download)
Download or read book Almost Periodic Differential Equations written by A.M. Fink and published by Springer. This book was released on 2006-11-15 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Thomas L. Saaty
Publisher : RWS Publications
ISBN 13 : 1888603399
Total Pages : 490 pages
Book Rating : 4.8/5 (886 download)
Download or read book Non Linear Mathematics Vol. II written by Thomas L. Saaty and published by RWS Publications. This book was released on 2014-12-22 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear equations have existed for hundreds of years; their systematic study, however, is a relatively recent phenomenon. This volume, together with its companion', Nonlinear Matliematics Vol. I, provides exceptionally comprehensive coverage of this recently formed area of study. It encompasses both older and more recent developments in the field of equations, with particular emphasis on nonlinear equations because, as Professor Saaty maintains, "that is what is needed today." Together the two volumes cover all the major types of classical equations (except partial differential equations, which require a separate volume). This volume includes material on seven types: operator equations, functional equations, difference equations, delay-differential equations, integral equations, integro-differential equations and stochastic differential equations. Special emphasis is placed on linear and nonlinear equations in function spaces and On general methods of solving different types of such equations. Above all, this book is practical. It reviews the variety of existing types of equations and provides methods for their solution. It is meant to help the reader acquire new methods for formulating problems. Its clear organization and copious references make it suitable for graduate students as well as scientists, technologists and mathematicians.
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 : Bertil Gustafsson
Publisher : John Wiley & Sons
ISBN 13 : 1118548523
Total Pages : 464 pages
Book Rating : 4.1/5 (185 download)
Download or read book Time-Dependent Problems and Difference Methods written by Bertil Gustafsson and published by John Wiley & Sons. This book was released on 2013-07-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition ". . . fills a considerable gap in the numerical analysis literature by providing a self-contained treatment . . . this is an important work written in a clear style . . . warmly recommended to any graduate student or researcher in the field of the numerical solution of partial differential equations." —SIAM Review Time-Dependent Problems and Difference Methods, Second Edition continues to provide guidance for the analysis of difference methods for computing approximate solutions to partial differential equations for time-dependent problems. The book treats differential equations and difference methods with a parallel development, thus achieving a more useful analysis of numerical methods. The Second Edition presents hyperbolic equations in great detail as well as new coverage on second-order systems of wave equations including acoustic waves, elastic waves, and Einstein equations. Compared to first-order hyperbolic systems, initial-boundary value problems for such systems contain new properties that must be taken into account when analyzing stability. Featuring the latest material in partial differential equations with new theorems, examples, and illustrations,Time-Dependent Problems and Difference Methods, Second Edition also includes: High order methods on staggered grids Extended treatment of Summation By Parts operators and their application to second-order derivatives Simplified presentation of certain parts and proofs Time-Dependent Problems and Difference Methods, Second Edition is an ideal reference for physical scientists, engineers, numerical analysts, and mathematical modelers who use numerical experiments to test designs and to predict and investigate physical phenomena. The book is also excellent for graduate-level courses in applied mathematics and scientific computations.
