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Author :
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (98 download)
Download or read book On the Asymptotic Stability of Solutions of Functional Differential Equations written by and published by . This book was released on 1979 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivanka Stamova
Publisher : Walter de Gruyter
ISBN 13 : 3110221829
Total Pages : 241 pages
Book Rating : 4.1/5 (12 download)
Download or read book Stability Analysis of Impulsive Functional Differential Equations written by Ivanka Stamova and published by Walter de Gruyter. This book was released on 2009-10-16 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equations is under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.
Author :
Publisher : Elsevier
ISBN 13 : 0080963145
Total Pages : 233 pages
Book Rating : 4.0/5 (89 download)
Download or read book Stability of Functional Differential Equations written by and published by Elsevier. This book was released on 1986-04-15 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the structure and stability properties of solutions of functional differential equations. Numerous examples of applications (such as feedback systrems with aftereffect, two-reflector antennae, nuclear reactors, mathematical models in immunology, viscoelastic bodies, aeroautoelastic phenomena and so on) are considered in detail. The development is illustrated by numerous figures and tables.
Author : N.V. Azbelev
Publisher : CRC Press
ISBN 13 : 9780415269575
Total Pages : 246 pages
Book Rating : 4.2/5 (695 download)
Download or read book Stability of Differential Equations with Aftereffect written by N.V. Azbelev and published by CRC Press. This book was released on 2002-10-03 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability of Differential Equations with Aftereffect presents stability theory for differential equations concentrating on functional differential equations with delay, integro-differential equations, and related topics. The authors provide background material on the modern theory of functional differential equations and introduce some new flexible methods for investigating the asymptotic behaviour of solutions to a range of equations. The treatment also includes some results from the authors' research group based at Perm and provides a useful reference text for graduates and researchers working in mathematical and engineering science.
Author : H.-O. Peitgen
Publisher : Springer
ISBN 13 : 3540351299
Total Pages : 513 pages
Book Rating : 4.5/5 (43 download)
Download or read book Functional Differential Equations and Approximation of Fixed Points written by H.-O. Peitgen and published by Springer. This book was released on 2006-11-15 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Heinz Unger on occasion of his 65. birthday
Author : Leonid Berezansky
Publisher : CRC Press
ISBN 13 : 1000048632
Total Pages : 488 pages
Book Rating : 4.0/5 ( download)
Download or read book Oscillation, Nonoscillation, Stability and Asymptotic Properties for Second and Higher Order Functional Differential Equations written by Leonid Berezansky and published by CRC Press. This book was released on 2020-05-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic properties of solutions such as stability/ instability,oscillation/ nonoscillation, existence of solutions with specific asymptotics, maximum principles present a classical part in the theory of higher order functional differential equations. The use of these equations in applications is one of the main reasons for the developments in this field. The control in the mechanical processes leads to mathematical models with second order delay differential equations. Stability and stabilization of second order delay equations are one of the main goals of this book. The book is based on the authors’ results in the last decade. Features: Stability, oscillatory and asymptotic properties of solutions are studied in correlation with each other. The first systematic description of stability methods based on the Bohl-Perron theorem. Simple and explicit exponential stability tests. In this book, various types of functional differential equations are considered: second and higher orders delay differential equations with measurable coefficients and delays, integro-differential equations, neutral equations, and operator equations. Oscillation/nonoscillation, existence of unbounded solutions, instability, special asymptotic behavior, positivity, exponential stability and stabilization of functional differential equations are studied. New methods for the study of exponential stability are proposed. Noted among them inlcude the W-transform (right regularization), a priory estimation of solutions, maximum principles, differential and integral inequalities, matrix inequality method, and reduction to a system of equations. The book can be used by applied mathematicians and as a basis for a course on stability of functional differential equations for graduate students.
Author : Leonid Shaikhet
Publisher : Springer Science & Business Media
ISBN 13 : 3319001019
Total Pages : 352 pages
Book Rating : 4.3/5 (19 download)
Download or read book Lyapunov Functionals and Stability of Stochastic Functional Differential Equations written by Leonid Shaikhet and published by Springer Science & Business Media. This book was released on 2013-03-29 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for difference equations with discrete and continuous time. The text begins with both a description and a delineation of the peculiarities of deterministic and stochastic functional differential equations. There follows basic definitions for stability theory of stochastic hereditary systems, and the formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as: • inverted controlled pendulum; • Nicholson's blowflies equation; • predator-prey relationships; • epidemic development; and • mathematical models that describe human behaviours related to addictions and obesity. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations is primarily addressed to experts in stability theory but will also be of interest to professionals and students in pure and computational mathematics, physics, engineering, medicine, and biology.
Author : Lamberto Cesari
Publisher : Springer
ISBN 13 : 3662403684
Total Pages : 278 pages
Book Rating : 4.6/5 (624 download)
Download or read book Asymptotic Behavior and Stability Problems in Ordinary Differential Equations written by Lamberto Cesari and published by Springer. This book was released on 2013-11-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last few decades the theory of ordinary differential equations has grown rapidly under the action of forces which have been working both from within and without: from within, as a development and deepen ing of the concepts and of the topological and analytical methods brought about by LYAPUNOV, POINCARE, BENDIXSON, and a few others at the turn of the century; from without, in the wake of the technological development, particularly in communications, servomechanisms, auto matic controls, and electronics. The early research of the authors just mentioned lay in challenging problems of astronomy, but the line of thought thus produced found the most impressive applications in the new fields. The body of research now accumulated is overwhelming, and many books and reports have appeared on one or another of the multiple aspects of the new line of research which some authors call "qualitative theory of differential equations". The purpose of the present volume is to present many of the view points and questions in a readable short report for which completeness is not claimed. The bibliographical notes in each section are intended to be a guide to more detailed expositions and to the original papers. Some traditional topics such as the Sturm comparison theory have been omitted. Also excluded were all those papers, dealing with special differential equations motivated by and intended for the applications.
Author : Glenn F. Webb
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (241 download)
Download or read book Asymptotic Stability for Abstract Nonlinear Functional Differential Equations written by Glenn F. Webb and published by . This book was released on 1974* with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dumitru Baleanu
Publisher : World Scientific
ISBN 13 : 9814641111
Total Pages : 209 pages
Book Rating : 4.8/5 (146 download)
Download or read book Asymptotic Integration And Stability: For Ordinary, Functional And Discrete Differential Equations Of Fractional Order written by Dumitru Baleanu and published by World Scientific. This book was released on 2015-01-15 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents several important and recent contributions to the emerging field of fractional differential equations in a self-contained manner. It deals with new results on existence, uniqueness and multiplicity, smoothness, asymptotic development, and stability of solutions. The new topics in the field of fractional calculus include also the Mittag-Leffler and Razumikhin stability, stability of a class of discrete fractional non-autonomous systems, asymptotic integration with a priori given coefficients, intervals of disconjugacy (non-oscillation), existence of Lp solutions for various linear, and nonlinear fractional differential equations.
Author : Fu-Shiang Peter Tsen
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (473 download)
Download or read book Asymptotic Stability for a Class of Functional Differential Equations of Neutral Type written by Fu-Shiang Peter Tsen and published by . This book was released on 1978 with total page 144 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 : Tarō Yoshizawa
Publisher :
ISBN 13 : 9789814539647
Total Pages : 380 pages
Book Rating : 4.5/5 (396 download)
Download or read book Functional Differential Equations written by Tarō Yoshizawa and published by . This book was released on 1991 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Richard C. MacCamy
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (457 download)
Download or read book Asymptotic Stability for a Class of Functional Differential Equations written by Richard C. MacCamy and published by . This book was released on 1972 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Constantin Corduneanu
Publisher : John Wiley & Sons
ISBN 13 : 1119189470
Total Pages : 362 pages
Book Rating : 4.1/5 (191 download)
Download or read book Functional Differential Equations written by Constantin Corduneanu and published by John Wiley & Sons. This book was released on 2016-04-11 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Features new results and up-to-date advances in modeling and solving differential equations Introducing the various classes of functional differential equations, Functional Differential Equations: Advances and Applications presents the needed tools and topics to study the various classes of functional differential equations and is primarily concerned with the existence, uniqueness, and estimates of solutions to specific problems. The book focuses on the general theory of functional differential equations, provides the requisite mathematical background, and details the qualitative behavior of solutions to functional differential equations. The book addresses problems of stability, particularly for ordinary differential equations in which the theory can provide models for other classes of functional differential equations, and the stability of solutions is useful for the application of results within various fields of science, engineering, and economics. Functional Differential Equations: Advances and Applications also features: • Discussions on the classes of equations that cannot be solved to the highest order derivative, and in turn, addresses existence results and behavior types • Oscillatory motion and solutions that occur in many real-world phenomena as well as in man-made machines • Numerous examples and applications with a specific focus on ordinary differential equations and functional differential equations with finite delay • An appendix that introduces generalized Fourier series and Fourier analysis after periodicity and almost periodicity • An extensive Bibliography with over 550 references that connects the presented concepts to further topical exploration Functional Differential Equations: Advances and Applications is an ideal reference for academics and practitioners in applied mathematics, engineering, economics, and physics. The book is also an appropriate textbook for graduate- and PhD-level courses in applied mathematics, differential and difference equations, differential analysis, and dynamics processes. CONSTANTIN CORDUNEANU, PhD, is Emeritus Professor in the Department of Mathematics at The University of Texas at Arlington, USA. The author of six books and over 200 journal articles, he is currently Associate Editor for seven journals; a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Romanian Academy; and past president of the American Romanian Academy of Arts and Sciences. YIZENG LI, PhD, is Professor in the Department of Mathematics at Tarrant County College, USA. He is a member of the Society for Industrial and Applied Mathematics. MEHRAN MAHDAVI, PhD, is Professor in the Department of Mathematics at Bowie State University, USA. The author of numerous journal articles, he is a member of the American Mathematical Society, Society for Industrial and Applied Mathematics, and the Mathematical Association of America.
Author : J. K. Hale
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Uniform Asymptotic Stability of Functional Differential Equations of the Neutral Type written by J. K. Hale and published by . This book was released on 1970 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jack K. Hale
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.:/5 (5 download)
Download or read book Theory of Functional Differential Equations written by Jack K. Hale and published by . This book was released on 1977 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of my lecture notes, Functional Differential Equations in the Applied Mathematical Sciences series, many new developments have occurred. As a consequence, it was decided not to make a few corrections and additions for a second edition of those notes, but to present a more compre hensive theory. The present work attempts to consolidate those elements of the theory which have stabilized and also to include recent directions of research. The following chapters were not discussed in my original notes. Chapter 1 is an elementary presentation of linear differential difference equations with constant coefficients of retarded and neutral type. Chapter 4 develops the recent theory of dissipative systems. Chapter 9 is a new chapter on perturbed systems. Chapter 11 is a new presentation incorporating recent results on the existence of periodic solutions of autonomous equations. Chapter 12 is devoted entirely to neutral equations. Chapter 13 gives an introduction to the global and generic theory. There is also an appendix on the location of the zeros of characteristic polynomials. The remainder of the material has been completely revised and updated with the most significant changes occurring in Chapter 3 on the properties of solutions, Chapter 5 on stability, and Chapter lOon behavior near a periodic orbit.
