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Author : W. A. Coppel
Publisher : Springer
ISBN 13 : 3540359761
Total Pages : 103 pages
Book Rating : 4.5/5 (43 download)
Download or read book Dichotomies in Stability Theory written by W. A. Coppel and published by Springer. This book was released on 2006-11-15 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Everaldo M. Bonotto
Publisher : John Wiley & Sons
ISBN 13 : 1119654939
Total Pages : 514 pages
Book Rating : 4.1/5 (196 download)
Download or read book Generalized Ordinary Differential Equations in Abstract Spaces and Applications written by Everaldo M. Bonotto and published by John Wiley & Sons. This book was released on 2021-09-15 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES AND APPLICATIONS Explore a unified view of differential equations through the use of the generalized ODE from leading academics in mathematics Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of Generalized ODEs in abstract spaces. The book covers applications to other types of differential equations, including Measure Functional Differential Equations (measure FDEs). It presents a uniform collection of qualitative results of Generalized ODEs and offers readers an introduction to several theories, including ordinary differential equations, impulsive differential equations, functional differential equations, dynamical equations on time scales, and more. Throughout the book, the focus is on qualitative theory and on corresponding results for other types of differential equations, as well as the connection between Generalized Ordinary Differential Equations and impulsive differential equations, functional differential equations, measure differential equations and dynamic equations on time scales. The book’s descriptions will be of use in many mathematical contexts, as well as in the social and natural sciences. Readers will also benefit from the inclusion of: A thorough introduction to regulated functions, including their basic properties, equiregulated sets, uniform convergence, and relatively compact sets An exploration of the Kurzweil integral, including its definitions and basic properties A discussion of measure functional differential equations, including impulsive measure FDEs The interrelationship between generalized ODEs and measure FDEs A treatment of the basic properties of generalized ODEs, including the existence and uniqueness of solutions, and prolongation and maximal solutions Perfect for researchers and graduate students in Differential Equations and Dynamical Systems, Generalized Ordinary Differential Equations in Abstract Spaces and Applications will also earn a place in the libraries of advanced undergraduate students taking courses in the subject and hoping to move onto graduate studies.
Author : Yu. A. Mitropolsky
Publisher : CRC Press
ISBN 13 : 1482264897
Total Pages : 390 pages
Book Rating : 4.4/5 (822 download)
Download or read book Dichotomies and Stability in Nonautonomous Linear Systems written by Yu. A. Mitropolsky and published by CRC Press. This book was released on 2002-10-10 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear nonautonomous equations arise as mathematical models in mechanics, chemistry, and biology. The investigation of bounded solutions to systems of differential equations involves some important and challenging problems of perturbation theory for invariant toroidal manifolds. This monograph is a detailed study of the application of Lyapunov func
Author : Luis Barreira
Publisher : Springer
ISBN 13 : 3540747753
Total Pages : 288 pages
Book Rating : 4.5/5 (47 download)
Download or read book Stability of Nonautonomous Differential Equations written by Luis Barreira and published by Springer. This book was released on 2007-09-26 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers the stability of nonautonomous differential equations in Banach spaces in the presence of nonuniform hyperbolicity. Topics under discussion include the Lyapunov stability of solutions, the existence and smoothness of invariant manifolds, and the construction and regularity of topological conjugacies. The exposition is directed to researchers as well as graduate students interested in differential equations and dynamical systems, particularly in stability theory.
Author : John R. Graef
Publisher : CRC Press
ISBN 13 : 9782884491457
Total Pages : 516 pages
Book Rating : 4.4/5 (914 download)
Download or read book Proceedings of the First International Conference on Difference Equations written by John R. Graef and published by CRC Press. This book was released on 1995-12-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Eighth International Conference on Difference Equations and Applications was held at Masaryk University in Brno, Czech Republic. This volume comprises refereed papers presented at this conference. Initially published in 2005.
Author : I. Gohberg
Publisher : Birkhäuser
ISBN 13 : 3034886152
Total Pages : 308 pages
Book Rating : 4.0/5 (348 download)
Download or read book Time-Variant Systems and Interpolation written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Fusco
Publisher : Elsevier
ISBN 13 : 1483217892
Total Pages : 278 pages
Book Rating : 4.4/5 (832 download)
Download or read book Advanced Topics in the Theory of Dynamical Systems written by G. Fusco and published by Elsevier. This book was released on 2016-06-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Topics in the Theory of Dynamical Systems covers the proceedings of the international conference by the same title, held at Villa Madruzzo, Trento, Italy on June 1-6, 1987. The conference reviews research advances in the field of dynamical systems. This book is composed of 20 chapters that explore the theoretical aspects and problems arising from applications of these systems. Considerable chapters are devoted to finite dimensional systems, with special emphasis on the analysis of existence of periodic solutions to Hamiltonian systems. Other chapters deal with infinite dimensional systems and the developments of methods in the general approach to existence and qualitative analysis problems in the general theory, as well as in the study of particular systems concerning natural sciences. The final chapters discuss the properties of hyperbolic sets, equivalent period doubling, Cauchy problems, and quasiperiodic solitons for nonlinear Klein-Gordon equations. This book is of value to mathematicians, physicists, researchers, and advance students.
Author : Drumi Bainov
Publisher : Routledge
ISBN 13 : 1351439103
Total Pages : 238 pages
Book Rating : 4.3/5 (514 download)
Download or read book Impulsive Differential Equations written by Drumi Bainov and published by Routledge. This book was released on 2017-11-01 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: Impulsive differential equations have been the subject of intense investigation in the last 10-20 years, due to the wide possibilities for their application in numerous fields of science and technology. This new work presents a systematic exposition of the results solving all of the more important problems in this field.
Author : Ravi P. Agarwal
Publisher : Hindawi Publishing Corporation
ISBN 13 : 9789775945389
Total Pages : 1266 pages
Book Rating : 4.9/5 (453 download)
Download or read book Proceedings of the Conference on Differential & Difference Equations and Applications written by Ravi P. Agarwal and published by Hindawi Publishing Corporation. This book was released on 2006 with total page 1266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : David N. Cheban
Publisher : Springer Nature
ISBN 13 : 3030342921
Total Pages : 434 pages
Book Rating : 4.0/5 (33 download)
Download or read book Nonautonomous Dynamics written by David N. Cheban and published by Springer Nature. This book was released on 2020-01-22 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).
Author : David Chillingworth
Publisher : Springer
ISBN 13 : 3540366628
Total Pages : 184 pages
Book Rating : 4.5/5 (43 download)
Download or read book Proceedings of the Symposium on Differential Equations and Dynamical Systems written by David Chillingworth and published by Springer. This book was released on 2006-11-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : George R. Sell
Publisher : Springer Science & Business Media
ISBN 13 : 9780387983479
Total Pages : 692 pages
Book Rating : 4.9/5 (834 download)
Download or read book Dynamics of Evolutionary Equations written by George R. Sell and published by Springer Science & Business Media. This book was released on 2002-01-02 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory and applications of infinite dimensional dynamical systems have attracted the attention of scientists for quite some time. Dynamical issues arise in equations that attempt to model phenomena that change with time. The infi nite dimensional aspects occur when forces that describe the motion depend on spatial variables, or on the history of the motion. In the case of spatially depen dent problems, the model equations are generally partial differential equations, and problems that depend on the past give rise to differential-delay equations. Because the nonlinearities occurring in thse equations need not be small, one needs good dynamical theories to understand the longtime behavior of solutions. Our basic objective in writing this book is to prepare an entree for scholars who are beginning their journey into the world of dynamical systems, especially in infinite dimensional spaces. In order to accomplish this, we start with the key concepts of a semiflow and a flow. As is well known, the basic elements of dynamical systems, such as the theory of attractors and other invariant sets, have their origins here.
Author : G Lumer
Publisher : CRC Press
ISBN 13 : 1482277484
Total Pages : 532 pages
Book Rating : 4.4/5 (822 download)
Download or read book Evolution Equations and Their Applications in Physical and Life Sciences written by G Lumer and published by CRC Press. This book was released on 2019-04-24 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of lectures on linear partial differntial equations and semigroups, nonlinear equations, stochastic evolutionary processes, and evolution problems from physics, engineering and mathematical biology. The contributions come from the 6th International Conference on Evolution Equations and Their Applications in Physica
Author : Uri M. Ascher
Publisher : SIAM
ISBN 13 : 9781611971231
Total Pages : 620 pages
Book Rating : 4.9/5 (712 download)
Download or read book Numerical Solution of Boundary Value Problems for Ordinary Differential Equations written by Uri M. Ascher and published by SIAM. This book was released on 1994-12-01 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner.
Author : Christian Pötzsche
Publisher : Springer Science & Business Media
ISBN 13 : 3642142575
Total Pages : 422 pages
Book Rating : 4.6/5 (421 download)
Download or read book Geometric Theory of Discrete Nonautonomous Dynamical Systems written by Christian Pötzsche and published by Springer Science & Business Media. This book was released on 2010-09-17 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to provide an approach to the corresponding geometric theory of nonautonomous discrete dynamical systems in infinite-dimensional spaces by virtue of 2-parameter semigroups (processes).
Author : Aristide Halanay
Publisher : Birkhäuser
ISBN 13 : 3034884990
Total Pages : 237 pages
Book Rating : 4.0/5 (348 download)
Download or read book Time-Varying Discrete Linear Systems written by Aristide Halanay and published by Birkhäuser. This book was released on 2012-12-06 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete-time systems arise as a matter of course in modelling biological or economic processes. For systems and control theory they are of major importance, particularly in connection with digital control applications. If sampling is performed in order to control periodic processes, almost periodic systems are obtained. This is a strong motivation to investigate the discrete-time systems with time-varying coefficients. This research monograph contains a study of discrete-time nodes, the discrete counterpart of the theory elaborated by Bart, Gohberg and Kaashoek for the continuous case, discrete-time Lyapunov and Riccati equations, discrete-time Hamiltonian systems in connection with input-output operators and associated Hankel and Toeplitz operators. All these tools aim to solve the problems of stabilization and attenuation of disturbances in the framework of H2- and H-control theory. The book is the first of its kind to be devoted to these topics and consists mainly of original, recently obtained results.
Author : Maria Tomas-Rodriguez
Publisher : Springer
ISBN 13 : 1849961018
Total Pages : 303 pages
Book Rating : 4.8/5 (499 download)
Download or read book Linear, Time-varying Approximations to Nonlinear Dynamical Systems written by Maria Tomas-Rodriguez and published by Springer. This book was released on 2010-01-12 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.
