Attractors Shadowing And Approximation Of Abstract Semilinear Differential Equations

Author : Sergey I Piskarev,Alexey V Ovchinnikov
Publisher : World Scientific
Page : 213 pages
File Size : 51,7 Mb
Release : 2023-07-05
Category : Mathematics
ISBN : 9789811272790

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Attractors, Shadowing, And Approximation Of Abstract Semilinear Differential Equations by Sergey I Piskarev,Alexey V Ovchinnikov Pdf

The book is devoted to some branches of the theory of approximation of abstract differential equations, namely, approximation of attractors in the case of hyperbolic equilibrium points, shadowing, and approximation of time-fractional semilinear problems.In this book, the most famous methods of several urgent branches of the theory of abstract differential equations scattered in numerous journal publications are systematized and collected together, which makes it convenient for the initial study of the subject and also for its use as a reference book. The presentation of the material is closed and accompanied by examples; this makes it easier to understand the material and helps beginners to quickly enter into the circle of ideas discussed.The book can be useful for specialists in partial differential equations, functional analysis, theory of approximation of differential equations, and for all researchers, students, and postgraduates who apply these branches of mathematics in their work.

Author : Sergei Yu. Pilyugin
Publisher : Springer
Page : 284 pages
File Size : 54,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540484295

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Shadowing in Dynamical Systems by Sergei Yu. Pilyugin Pdf

This book is an introduction to the theory of shadowing of approximate trajectories in dynamical systems by exact ones. This is the first book completely devoted to the theory of shadowing. It shows the importance of shadowing theory for both the qualitative theory of dynamical systems and the theory of numerical methods. Shadowing Methods allow us to estimate differences between exact and approximate solutions on infinite time intervals and to understand the influence of error terms. The book is intended for specialists in dynamical systems, for researchers and graduate students in the theory of numerical methods.

Author : C.M. Dafermos,Milan Pokorny
Publisher : Elsevier
Page : 609 pages
File Size : 40,7 Mb
Release : 2008-10-06
Category : Mathematics
ISBN : 9780080931975

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Handbook of Differential Equations: Evolutionary Equations by C.M. Dafermos,Milan Pokorny Pdf

The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications. The seven survey articles present different topics in Evolutionary PDE’s, written by leading experts. - Review of new results in the area- Continuation of previous volumes in the handbook series covering Evolutionary PDEs- Written by leading experts

Author : T.L. Gill,Woodford W. Zachary
Publisher : Lecture Notes in Mathematics
Page : 204 pages
File Size : 46,5 Mb
Release : 1987-05-06
Category : Mathematics
ISBN : STANFORD:36105032362910

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Nonlinear Semigroups, Partial Differential Equations and Attractors by T.L. Gill,Woodford W. Zachary Pdf

The original idea of the organizers of the Washington Symposium was to span a fairly narrow range of topics on some recent techniques developed for the investigation of nonlinear partial differential equations and discuss these in a forum of experts. It soon became clear, however, that the dynamical systems approach interfaced significantly with many important branches of applied mathematics. As a consequence, the scope of this resulting proceedings volume is an enlarged one with coverage of a wider range of research topics.

Author : Anonim
Publisher : Unknown
Page : 752 pages
File Size : 41,9 Mb
Release : 2008
Category : Dynamics
ISBN : UOM:39015072634374

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Discrete and Continuous Dynamical Systems by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 1884 pages
File Size : 46,9 Mb
Release : 2005
Category : Mathematics
ISBN : UVA:X006195258

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Mathematical Reviews by Anonim Pdf

Author : Bernold Fiedler
Publisher : Springer Science & Business Media
Page : 820 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642565892

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Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems by Bernold Fiedler Pdf

Presenting very recent results in a major research area, this book is addressed to experts and non-experts in the mathematical community alike. The applied issues range from crystallization and dendrite growth to quantum chaos, conveying their significance far into the neighboring disciplines of science.

Author : C. M. Dafermos
Publisher : CRC Press
Page : 811 pages
File Size : 42,7 Mb
Release : 2020-08-26
Category : Mathematics
ISBN : 9781000104158

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Differential Equations by C. M. Dafermos Pdf

This volume is an outcome of the EQUADIFF 87 conference in Greece. It addresses a wide spectrum of topics in the theory and applications of differential equations, ordinary, partial, and functional. The book is intended for mathematics and scientists.

Author : B Aulbach,F Colonius
Publisher : World Scientific
Page : 324 pages
File Size : 55,7 Mb
Release : 1996-05-15
Category : Mathematics
ISBN : 9789814499422

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Six Lectures on Dynamical Systems by B Aulbach,F Colonius Pdf

This volume consists of six articles covering different facets of the mathematical theory of dynamical systems. The topics range from topological foundations through invariant manifolds, decoupling, perturbations and computations to control theory. All contributions are based on a sound mathematical analysis. Some of them provide detailed proofs while others are of a survey character. In any case, emphasis is put on motivation and guiding ideas. Many examples are included. The papers of this volume grew out of a tutorial workshop for graduate students in mathematics held at the University of Augsburg. Each of the contributions is self-contained and provides an in-depth insight into some topic of current interest in the mathematical theory of dynamical systems. The text is suitable for courses and seminars on a graduate student level. Contents:Dynamical Systems: The Topological Foundations (E Akin)Integral Manifolds for Carathéodory Type Differential Equations in Banach Spaces (B Aulbach & T Wanner)Control Theory and Dynamical Systems (F Colonius & W Kliemann)Shadowing in Discrete Dynamical Systems (B A Coomes, H Koçak & K J Palmer)Perturbation of Invariant Manifolds of Ordinary Differential Equations (G Osipenko & E Ershov)The Reduction of Discrete Dynamical and Semidynamical Systems in Metric Spaces (A Reinfelds) Readership: Research mathematicians, graduate students in pure and applied mathematics and readers from applied sciences and engineering. keywords:Workshop;Dynamical Systems;Augsburg (Germany);Lectures

Author : Haim Brezis
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 52,8 Mb
Release : 2010-11-02
Category : Mathematics
ISBN : 9780387709147

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Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis Pdf

This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs). Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.

Author : Victor Guillemin,Shlomo Sternberg
Publisher : American Mathematical Soc.
Page : 500 pages
File Size : 47,6 Mb
Release : 1990
Category : Mathematics
ISBN : 9780821816332

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Geometric Asymptotics by Victor Guillemin,Shlomo Sternberg Pdf

Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.

Author : Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu
Publisher : Springer
Page : 382 pages
File Size : 43,9 Mb
Release : 2019-06-29
Category : Mathematics
ISBN : 9783030200169

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Difference Equations, Discrete Dynamical Systems and Applications by Saber Elaydi,Christian Pötzsche,Adina Luminiţa Sasu Pdf

The book presents the proceedings of the 23rd International Conference on Difference Equations and Applications, ICDEA 2017, held at the West University of Timișoara, Romania, under the auspices of the International Society of Difference Equations (ISDE), July 24 - 28, 2017. It includes new and significant contributions in the field of difference equations, discrete dynamical systems and their applications in various sciences. Disseminating recent studies and related results and promoting advances, the book appeals to PhD students, researchers, educators and practitioners in the field.

Author : A M Samoilenko,N A Perestyuk
Publisher : World Scientific
Page : 472 pages
File Size : 49,9 Mb
Release : 1995-08-31
Category : Science
ISBN : 9789814499828

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Impulsive Differential Equations by A M Samoilenko,N A Perestyuk Pdf

Contents:General Description of Impulsive Differential SystemsLinear SystemsStability of SolutionsPeriodic and Almost Periodic Impulsive SystemsIntegral Sets of Impulsive SystemsOptimum Control in Impulsive SystemsAsymptotic Study of Oscillations in Impulsive SystemsA Periodic and Almost Periodic Impulsive SystemsBibliographySubject Index Readership: Researchers in nonlinear science. keywords:Differential Equations with Impulses;Linear Systems;Stability;Periodic and Quasi-Periodic Solutions;Integral Sets;Optimal Control “… lucid … the book … will benefit all who are interested in IDE…” Mathematics Abstracts

Author : Victor Kac,Pokman Cheung
Publisher : Springer Science & Business Media
Page : 121 pages
File Size : 47,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461300717

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Quantum Calculus by Victor Kac,Pokman Cheung Pdf

Simply put, quantum calculus is ordinary calculus without taking limits. This undergraduate text develops two types of quantum calculi, the q-calculus and the h-calculus. As this book develops quantum calculus along the lines of traditional calculus, the reader discovers, with a remarkable inevitability, many important notions and results of classical mathematics. This book is written at the level of a first course in calculus and linear algebra and is aimed at undergraduate and beginning graduate students in mathematics, computer science, and physics. It is based on lectures and seminars given by MIT Professor Kac over the last few years at MIT.

Author : Sergey I. Kabanikhin
Publisher : Walter de Gruyter
Page : 476 pages
File Size : 47,6 Mb
Release : 2011-12-23
Category : Mathematics
ISBN : 9783110224016

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Inverse and Ill-posed Problems by Sergey I. Kabanikhin Pdf

The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a subject in which its creator takes a keen interest. The concept of ill-posed problems was introduced by Hadamard with the comment that these problems are physically meaningless and not worthy of the attention of serious researchers. Despite Hadamard's pessimistic forecasts, however, his unloved "child" has turned into a powerful theory whose results are used in many fields of pure and applied mathematics. What is the secret of its success? The answer is clear. Ill-posed problems occur everywhere and it is unreasonable to ignore them. Unlike ill-posed problems, inverse problems have no strict mathematical definition. In general, they can be described as the task of recovering a part of the data of a corresponding direct (well-posed) problem from information about its solution. Inverse problems were first encountered in practice and are mostly ill-posed. The urgent need for their solution, especially in geological exploration and medical diagnostics, has given powerful impetus to the development of the theory of ill-posed problems. Nowadays, the terms "inverse problem" and "ill-posed problem" are inextricably linked to each other. Inverse and ill-posed problems are currently attracting great interest. A vast literature is devoted to these problems, making it necessary to systematize the accumulated material. This book is the first small step in that direction. We propose a classification of inverse problems according to the type of equation, unknowns and additional information. We consider specific problems from a single position and indicate relationships between them. The problems relate to different areas of mathematics, such as linear algebra, theory of integral equations, integral geometry, spectral theory and mathematical physics. We give examples of applied problems that can be studied using the techniques we describe. This book was conceived as a textbook on the foundations of the theory of inverse and ill-posed problems for university students. The author's intention was to explain this complex material in the most accessible way possible. The monograph is aimed primarily at those who are just beginning to get to grips with inverse and ill-posed problems but we hope that it will be useful to anyone who is interested in the subject.