Attractors, Shadowing, And Approximation Of Abstract Semilinear Differential Equations

Attractors, Shadowing, And Approximation Of Abstract Semilinear Differential Equations
Author: Sergey I Piskarev
Publisher: World Scientific
Total Pages: 213
Release: 2023-07-05
Genre: Mathematics
ISBN: 9811272794

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.

Handbook of Differential Equations: Evolutionary Equations

Handbook of Differential Equations: Evolutionary Equations
Author: C.M. Dafermos
Publisher: Elsevier
Total Pages: 609
Release: 2008-10-06
Genre: Mathematics
ISBN: 0080931979

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

Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems

Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems
Author: Bernold Fiedler
Publisher: Springer Science & Business Media
Total Pages: 816
Release: 2012-12-06
Genre: Mathematics
ISBN: 3642565891

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.

Dynamical Systems and Numerical Analysis

Dynamical Systems and Numerical Analysis
Author: Andrew Stuart
Publisher: Cambridge University Press
Total Pages: 708
Release: 1998-11-28
Genre: Mathematics
ISBN: 9780521645638

The first three chapters contain the elements of the theory of dynamical systems and the numerical solution of initial-value problems. In the remaining chapters, numerical methods are formulated as dynamical systems and the convergence and stability properties of the methods are examined.

Geometric Asymptotics

Geometric Asymptotics
Author: Victor Guillemin
Publisher: American Mathematical Soc.
Total Pages: 500
Release: 1990
Genre: Mathematics
ISBN: 0821816330

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.

Infinite-Dimensional Dynamical Systems

Infinite-Dimensional Dynamical Systems
Author: James C. Robinson
Publisher: Cambridge University Press
Total Pages: 488
Release: 2001-04-23
Genre: Mathematics
ISBN: 9780521632041

This book treats the theory of global attractors, a recent development in the theory of partial differential equations, in a way that also includes much of the traditional elements of the subject. As such it gives a quick but directed introduction to some fundamental concepts, and by the end proceeds to current research problems. Since the subject is relatively new, this is the first book to attempt to treat these various topics in a unified and didactic way. It is intended to be suitable for first year graduate students.

Hyperbolic Flows

Hyperbolic Flows
Author: Todd Fisher
Publisher:
Total Pages: 0
Release: 2019
Genre: Differential equations
ISBN: 9783037192009

The origins of dynamical systems trace back to flows and differential equations, and this is a modern text and reference on dynamical systems in which continuous-time dynamics is primary. It addresses needs unmet by modern books on dynamical systems, which largely focus on discrete time. Students have lacked a useful introduction to flows, and researchers have difficulty finding references to cite for core results in the theory of flows. Even when these are known substantial diligence and consultation with experts is often needed to find them. This book presents the theory of flows from the topological, smooth, and measurable points of view. The first part introduces the general topological and ergodic theory of flows, and the second part presents the core theory of hyperbolic flows as well as a range of recent developments. Therefore, the book can be used both as a textbook - for either courses or self-study - and as a reference for students and researchers. There are a number of new results in the book, and many more are hard to locate elsewhere, often having appeared only in the original research literature. This book makes them all easily accessible and does so in the context of a comprehensive and coherent presentation of the theory of hyperbolic flows.

Numerical Semigroups

Numerical Semigroups
Author: J.C. Rosales
Publisher: Springer Science & Business Media
Total Pages: 186
Release: 2009-12-24
Genre: Mathematics
ISBN: 1441901604

"Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.