Systems Of Evolution Equations With Periodic And Quasiperiodic Coefficients


Systems Of Evolution Equations With Periodic And Quasiperiodic Coefficients
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Systems Of Evolution Equations With Periodic And Quasiperiodic Coefficients


Systems Of Evolution Equations With Periodic And Quasiperiodic Coefficients
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Author : Yuri A. Mitropolsky
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Systems Of Evolution Equations With Periodic And Quasiperiodic Coefficients written by Yuri A. Mitropolsky and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In Chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients. Chapter 5 examines the problem concerning the reducibility of a linear system of difference equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients. For mathematicians whose work involves the study of oscillating systems.



Systems Of Evolution Equations With Periodic And Quasiperiodic Coefficients


Systems Of Evolution Equations With Periodic And Quasiperiodic Coefficients
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Author : Yuri A. Mitropolsky
language : en
Publisher:
Release Date : 1993

Systems Of Evolution Equations With Periodic And Quasiperiodic Coefficients written by Yuri A. Mitropolsky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Electronic books categories.


Many problems in celestial mechanics, physics and engineering involve the study of oscillating systems governed by nonlinear ordinary differential equations or partial differential equations. This volume represents an important contribution to the available methods of solution for such systems. The contents are divided into six chapters. Chapter 1 presents a study of periodic solutions for nonlinear systems of evolution equations including differential equations with lag, systems of neutral type, various classes of nonlinear systems of integro-differential equations, etc. A numerical-analytic method for the investigation of periodic solutions of these evolution equations is presented. In Chapters 2 and 3, problems concerning the existence of periodic and quasiperiodic solutions for systems with lag are examined. For a nonlinear system with quasiperiodic coefficients and lag, the conditions under which quasiperiodic solutions exist are established. Chapter 4 is devoted to the study of invariant toroidal manifolds for various classes of systems of differential equations with quasiperiodic coefficients. Chapter 5 examines the problem concerning the reducibility of a linear system of difference equations with quasiperiodic coefficients to a linear system of difference equations with constant coefficients. Chapter 6 contains an investigation of invariant toroidal sets for systems of difference equations with quasiperiodic coefficients. For mathematicians whose work involves the study of oscillating systems.



Trends In Evolution Equation Research


Trends In Evolution Equation Research
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Author : Gaston M. N'Guerekata
language : en
Publisher:
Release Date : 2008

Trends In Evolution Equation Research written by Gaston M. N'Guerekata and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


This book presents, recent and important research from around the world on the theory and methods of linear or non-linear evolution equations as well as their further applications. Equations dealing with the asymptotic behaviour of solutions to evolution equations are included. This book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.



Leading Edge Research On Evolution Equations


Leading Edge Research On Evolution Equations
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Author : Gaston M. N'Guerekata
language : en
Publisher: Nova Publishers
Release Date : 2008

Leading Edge Research On Evolution Equations written by Gaston M. N'Guerekata and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.


This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.



Multifrequency Oscillations Of Nonlinear Systems


Multifrequency Oscillations Of Nonlinear Systems
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Author : Anatolii M. Samoilenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-11

Multifrequency Oscillations Of Nonlinear Systems written by Anatolii M. Samoilenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-11 with Mathematics categories.


In contrast to other books devoted to the averaging method and the method of integral manifolds, in the present book we study oscillation systems with many varying frequencies. In the process of evolution, systems of this type can pass from one resonance state into another. This fact considerably complicates the investigation of nonlinear oscillations. In the present monograph, a new approach based on exact uniform estimates of oscillation integrals is proposed. On the basis of this approach, numerous completely new results on the justification of the averaging method and its applications are obtained and the integral manifolds of resonance oscillation systems are studied. This book is intended for a wide circle of research workers, experts, and engineers interested in oscillation processes, as well as for students and post-graduate students specialized in ordinary differential equations.



Loop Like Solitons In The Theory Of Nonlinear Evolution Equations


Loop Like Solitons In The Theory Of Nonlinear Evolution Equations
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Author : V. O. Vakhnenko
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2022-02-17

Loop Like Solitons In The Theory Of Nonlinear Evolution Equations written by V. O. Vakhnenko and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-17 with Science categories.


This book shows that the physical phenomena and processes that take place in nature generally have complicated nonlinear features, which leads to nonlinear mathematical models for the real processes. It focuses on the practical issues involved here, as well as the development of methods to investigate the associated nonlinear mathematical problems, including nonlinear wave propagation. It acquaints the reader with a series of methods and approaches that can be applied to a wide class of nonlinear equations. The book also outlines a way in which an uninitiated reader could investigate a new nonlinear equation.



Oscillatory Evolution Processes


Oscillatory Evolution Processes
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Author : Igor Gumowski
language : en
Publisher: Manchester University Press
Release Date : 1989

Oscillatory Evolution Processes written by Igor Gumowski and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Mathematics categories.


Very Good,No Highlights or Markup,all pages are intact.



Focus On Evolution Equations


Focus On Evolution Equations
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Author : Gaston M. N'Guerekata
language : en
Publisher: Nova Science Publishers
Release Date : 2012

Focus On Evolution Equations written by Gaston M. N'Guerekata and has been published by Nova Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Evolution equations categories.


This book presents high-quality research on the theory and methods of linear or non-linear evolution equations as well as their further applications. Equations dealing with the asymptotic behaviour of solutions to evolution equations are included. This book also covers degenerate parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic solutions, concave Lagragian systems and integral equations.



Partially Integrable Evolution Equations In Physics


Partially Integrable Evolution Equations In Physics
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Author : R. Conte
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Partially Integrable Evolution Equations In Physics written by R. Conte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


In the many physical phenomena ruled by partial differential equations, two extreme fields are currently overcrowded due to recent considerable developments: 1) the field of completely integrable equations, whose recent advances are the inverse spectral transform, the recursion operator, underlying Hamiltonian structures, Lax pairs, etc 2) the field of dynamical systems, often built as models of observed physical phenomena: turbulence, intermittency, Poincare sections, transition to chaos, etc. In between there is a very large region where systems are neither integrable nor nonintegrable, but partially integrable, and people working in the latter domain often know methods from either 1) or 2). Due to the growing interest in partially integrable systems, we decided to organize a meeting for physicists active or about to undertake research in this field, and we thought that an appropriate form would be a school. Indeed, some of the above mentioned methods are often adaptable outside their original domain and therefore worth to be taught in an interdisciplinary school. One of the main concerns was to keep a correct balance between physics and mathematics, and this is reflected in the list of courses.



Handbook Of Differential Equations Ordinary Differential Equations


Handbook Of Differential Equations Ordinary Differential Equations
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Author : Flaviano Battelli
language : en
Publisher: Elsevier
Release Date : 2008-08-19

Handbook Of Differential Equations Ordinary Differential Equations written by Flaviano Battelli and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-08-19 with Mathematics categories.


This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. * Covers a variety of problems in ordinary differential equations * Pure mathematical and real-world applications * Written for mathematicians and scientists of many related fields