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Author : Zvi Artstein
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (661 download)
Download or read book Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations written by Zvi Artstein and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lasalle Joseph P.
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (18 download)
Download or read book Appendix A: Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations written by Lasalle Joseph P. and published by . This book was released on 1976 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Junji Kato
Publisher : Routledge
ISBN 13 : 1351414860
Total Pages : 304 pages
Book Rating : 4.3/5 (514 download)
Download or read book Stability of Motion of Nonautonomous Systems (Methods of Limiting Equations) written by Junji Kato and published by Routledge. This book was released on 2019-09-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the strong tradition of functional analysis and stability theory for differential and integral equations already established by the previous volumes in this series, this innovative monograph considers in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov's direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed. For the first time, the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems is applied to a new field: that of the stability problem of systems with small parameters. This important development should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids, and nuclear reactors.
Author : Joseph P. LaSalle
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (15 download)
Download or read book The Stability of Dynamical Systems Appendix A, Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations, Z. Artstein written by Joseph P. LaSalle and published by . This book was released on 1976 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph P. LaSalle
Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (15 download)
Download or read book The Stability of Dynamical Systems. Appendix A: Limiting Equations and Stability of Nonautonomous Ordinary Differential Equations written by Joseph P. LaSalle and published by . This book was released on 1976 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Junji Kato
Publisher : CRC Press
ISBN 13 : 9780367455965
Total Pages : 304 pages
Book Rating : 4.4/5 (559 download)
Download or read book Stability of Motion of Nonautonomous Systems written by Junji Kato and published by CRC Press. This book was released on 2019-11-25 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the strong tradition of functional analysis and stability theory for differential and integral equations already established by the previous volumes in this series, this innovative monograph considers in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov's direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed. For the first time, the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems is applied to a new field: that of the stability problem of systems with small parameters. This important development should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids, and nuclear reactors.
Author : J. P. LaSalle
Publisher : SIAM
ISBN 13 : 9781611970432
Total Pages : 81 pages
Book Rating : 4.9/5 (74 download)
Download or read book The Stability of Dynamical Systems written by J. P. LaSalle and published by SIAM. This book was released on 1976-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to aspects of the theory of dynamial systems based on extensions of Liapunov's direct method. The main ideas and structure for the theory are presented for difference equations and for the analogous theory for ordinary differential equations and retarded functional differential equations. The latest results on invariance properties for non-autonomous time-varying systems processes are presented for difference and differential equations.
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 : Junji Kato
Publisher : Routledge
ISBN 13 : 1351414852
Total Pages : 280 pages
Book Rating : 4.3/5 (514 download)
Download or read book Stability of Motion of Nonautonomous Systems (Methods of Limiting Equations) written by Junji Kato and published by Routledge. This book was released on 2019-09-09 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing the strong tradition of functional analysis and stability theory for differential and integral equations already established by the previous volumes in this series, this innovative monograph considers in detail the method of limiting equations constructed in terms of the Bebutov-Miller-Sell concept, the method of comparison, and Lyapunov's direct method based on scalar, vector and matrix functions. The stability of abstract compacted and uniform dynamic processes, dispersed systems and evolutionary equations in Banach space are also discussed. For the first time, the method first employed by Krylov and Bogolubov in their investigations of oscillations in almost linear systems is applied to a new field: that of the stability problem of systems with small parameters. This important development should facilitate the solution of engineering problems in such areas as orbiting satellites, rocket motion, high-speed vehicles, power grids, and nuclear reactors.
Author : Anna Capietto
Publisher : Springer
ISBN 13 : 3642329063
Total Pages : 314 pages
Book Rating : 4.6/5 (423 download)
Download or read book Stability and Bifurcation Theory for Non-Autonomous Differential Equations written by Anna Capietto and published by Springer. This book was released on 2012-12-14 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the notes from five lecture courses devoted to nonautonomous differential systems, in which appropriate topological and dynamical techniques were described and applied to a variety of problems. The courses took place during the C.I.M.E. Session "Stability and Bifurcation Problems for Non-Autonomous Differential Equations," held in Cetraro, Italy, June 19-25 2011. Anna Capietto and Jean Mawhin lectured on nonlinear boundary value problems; they applied the Maslov index and degree-theoretic methods in this context. Rafael Ortega discussed the theory of twist maps with nonperiodic phase and presented applications. Peter Kloeden and Sylvia Novo showed how dynamical methods can be used to study the stability/bifurcation properties of bounded solutions and of attracting sets for nonautonomous differential and functional-differential equations. The volume will be of interest to all researchers working in these and related fields.
Author : Ivan Kiguradze
Publisher : Springer Science & Business Media
ISBN 13 : 9401118086
Total Pages : 343 pages
Book Rating : 4.4/5 (11 download)
Download or read book Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations written by Ivan Kiguradze and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides a comprehensive review of the developments which have taken place during the last thirty years concerning the asymptotic properties of solutions of nonautonomous ordinary differential equations. The conditions of oscillation of solutions are established, and some general theorems on the classification of equations according to their oscillatory properties are proved. In addition, the conditions are found under which nonlinear equations do not have singular, proper, oscillatory and monotone solutions. The book has five chapters: Chapter I deals with linear differential equations; Chapter II with quasilinear equations; Chapter III with general nonlinear differential equations; and Chapter IV and V deal, respectively, with higher-order and second-order differential equations of the Emden-Fowler type. Each section contains problems, including some which presently remain unsolved. The volume concludes with an extensive list of references. For researchers and graduate students interested in the qualitative theory of differential equations.
Author : Moshe Marcus
Publisher : American Mathematical Soc.
ISBN 13 : 0821822780
Total Pages : 69 pages
Book Rating : 4.8/5 (218 download)
Download or read book Limiting Equations for Problems Involving Long Range Memory written by Moshe Marcus and published by American Mathematical Soc.. This book was released on 1983 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asymptotic solution behavior and relevant limit equations are studied for a broad class of nonautonomous hereditary equations. These problems are presented on a function space consisting of locally integrable functions defined on semi-axes of the reals, and the operators occurring in the equations map this function space into the space of continuous functions--in a 'nonanticipative' manner.
Author : William E. Hornor
Publisher :
ISBN 13 :
Total Pages : 170 pages
Book Rating : 4.:/5 (19 download)
Download or read book Limiting Equations and Invariance Principles for Nonautonomous Functional Differential Equations written by William E. Hornor and published by . This book was released on 1988 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Xiaoying Han
Publisher : Springer
ISBN 13 : 3319619349
Total Pages : 121 pages
Book Rating : 4.3/5 (196 download)
Download or read book Attractors Under Discretisation written by Xiaoying Han and published by Springer. This book was released on 2017-08-11 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation. In the 1980s, key results for autonomous ordinary differential equations were obtained – by Beyn for saddle points and by Kloeden & Lorenz for attractors. One-step numerical schemes with a constant step size were considered, so the resulting discrete time dynamical system was also autonomous. One of the aims of this book is to present new findings on the discretisation of dissipative nonautonomous dynamical systems that have been obtained in recent years, and in particular to examine the properties of nonautonomous omega limit sets and their approximations by numerical schemes – results that are also of importance for autonomous systems approximated by a numerical scheme with variable time steps, thus by a discrete time nonautonomous dynamical system.
Author : Martin Rasmussen
Publisher : Springer Science & Business Media
ISBN 13 : 3540712240
Total Pages : 222 pages
Book Rating : 4.5/5 (47 download)
Download or read book Attractivity and Bifurcation for Nonautonomous Dynamical Systems written by Martin Rasmussen and published by Springer Science & Business Media. This book was released on 2007-06-08 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions.
Author : Tomás Caraballo
Publisher : Springer
ISBN 13 : 3319492470
Total Pages : 115 pages
Book Rating : 4.3/5 (194 download)
Download or read book Applied Nonautonomous and Random Dynamical Systems written by Tomás Caraballo and published by Springer. This book was released on 2017-01-31 with total page 115 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the theory of non-autonomous and stochastic dynamical systems, with a focus on the importance of the theory in the Applied Sciences. It starts by discussing the basic concepts from the theory of autonomous dynamical systems, which are easier to understand and can be used as the motivation for the non-autonomous and stochastic situations. The book subsequently establishes a framework for non-autonomous dynamical systems, and in particular describes the various approaches currently available for analysing the long-term behaviour of non-autonomous problems. Here, the major focus is on the novel theory of pullback attractors, which is still under development. In turn, the third part represents the main body of the book, introducing the theory of random dynamical systems and random attractors and revealing how it may be a suitable candidate for handling realistic models with stochasticity. A discussion of future research directions serves to round out the coverage.
Author : G. Sansone
Publisher : Elsevier
ISBN 13 : 1483135969
Total Pages : 553 pages
Book Rating : 4.4/5 (831 download)
Download or read book Non-Linear Differential Equations written by G. Sansone and published by Elsevier. This book was released on 2016-06-06 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.
