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Author : Robert Jerome Rath
Publisher :
ISBN 13 :
Total Pages : 120 pages
Book Rating : 4.:/5 (111 download)
Download or read book Eventual Stability of Non-autonomous Systems of Differential Equations written by Robert Jerome Rath and published by . This book was released on 1962 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : James D. White
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (855 download)
Download or read book The Stability of Nonautonomous Systems of Differential Equations written by James D. White and published by . This book was released on 1969 with total page 138 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 : 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 : A. P. Morgan
Publisher :
ISBN 13 :
Total Pages : 23 pages
Book Rating : 4.:/5 (227 download)
Download or read book On the Stability of Non-Autonomous Differential Equations Dx/dt written by A. P. Morgan and published by . This book was released on 1975 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : Lynn D. Maruska
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (544 download)
Download or read book Stability in Autonomous Systems of Differential Equations written by Lynn D. Maruska and published by . This book was released on 1966 with total page 46 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 : Leonard Weiss
Publisher : Elsevier
ISBN 13 : 1483270114
Total Pages : 622 pages
Book Rating : 4.4/5 (832 download)
Download or read book Ordinary Differential Equations written by Leonard Weiss and published by Elsevier. This book was released on 2014-05-10 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary Differential Equations: 1971 NRL–MRC Conference provides information pertinent to the fundamental aspects of ordinary differential equations. This book covers a variety of topics, including geometric and qualitative theory, analytic theory, functional differential equation, dynamical systems, and algebraic theory. Organized into two parts encompassing 51 chapters, this book begins with an overview of the results on the existence of periodic solutions of a differential equation. This text then describes an index for the isolated invariant sets of a flow on a compact metric space, which contains exactly the information of the Morse index. Other chapters consider the studies of certain classes of equations that can be interpreted as models of biological or economic processes. This book discusses as well the absolute stability of some classes of integro-differential systems. The final chapter deals with first-order differential equations. This book is a valuable resource for mathematicians, graduate students, and research workers.
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 : Heinz Rutishauser
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.3/5 (126 download)
Download or read book On the Instability of Methods for the Integration of Ordinary Differential Equations written by Heinz Rutishauser and published by . This book was released on 1956 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: Examples and a criterion for stability of integration methods is provided. The criterion is applied to well-known integration formulas.
Author : Peter E. Kloeden
Publisher : American Mathematical Soc.
ISBN 13 : 0821868713
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)
Download or read book Nonautonomous Dynamical Systems written by Peter E. Kloeden and published by American Mathematical Soc.. This book was released on 2011-08-17 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of nonautonomous dynamical systems in both of its formulations as processes and skew product flows is developed systematically in this book. The focus is on dissipative systems and nonautonomous attractors, in particular the recently introduced concept of pullback attractors. Linearization theory, invariant manifolds, Lyapunov functions, Morse decompositions and bifurcations for nonautonomous systems and set-valued generalizations are also considered as well as applications to numerical approximations, switching systems and synchronization. Parallels with corresponding theories of control and random dynamical systems are briefly sketched. With its clear and systematic exposition, many examples and exercises, as well as its interesting applications, this book can serve as a text at the beginning graduate level. It is also useful for those who wish to begin their own independent research in this rapidly developing area.
Author : Saber Elaydi
Publisher : Springer Nature
ISBN 13 : 303125225X
Total Pages : 534 pages
Book Rating : 4.0/5 (312 download)
Download or read book Advances in Discrete Dynamical Systems, Difference Equations and Applications written by Saber Elaydi and published by Springer Nature. This book was released on 2023-03-25 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book comprises selected papers of the 26th International Conference on Difference Equations and Applications, ICDEA 2021, held virtually at the University of Sarajevo, Bosnia and Herzegovina, in July 2021. The book includes the latest and significant research and achievements in difference equations, discrete dynamical systems, and their applications in various scientific disciplines. The book is interesting for Ph.D. students and researchers who want to keep up to date with the latest research, developments, and achievements in difference equations, discrete dynamical systems, and their applications, the real-world problems.
Author : N.P. Bhatia
Publisher : Springer Science & Business Media
ISBN 13 : 9783540427483
Total Pages : 252 pages
Book Rating : 4.4/5 (274 download)
Download or read book Stability Theory of Dynamical Systems written by N.P. Bhatia and published by Springer Science & Business Media. This book was released on 2002-01-10 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of classic reference work. Over 400 books have been published in the series Classics in Mathematics, many remain standard references for their subject. All books in this series are reissued in a new, inexpensive softcover edition to make them easily accessible to younger generations of students and researchers. "... The book has many good points: clear organization, historical notes and references at the end of every chapter, and an excellent bibliography. The text is well-written, at a level appropriate for the intended audience, and it represents a very good introduction to the basic theory of dynamical systems."
