A Concise Guide To Semigroups And Evolution Equations

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A Concise Guide to Semigroups and Evolution Equations

Aldo Belleni-Morante
A Concise Guide to Semigroups and Evolution Equations Book PDF

Author : Aldo Belleni-Morante
Publisher : World Scientific
Page : 188 pages
File Size : 44,7 Mb
Release : 1994
Category : Mathematics
ISBN : 9810212941

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A Concise Guide to Semigroups and Evolution Equations by Aldo Belleni-Morante Pdf

This book is a simple and concise introduction to the theory of semigroups and evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory), and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces.Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).

A Concise Guide To Semigroups And Evolution Equations

Belleni-morante Aldo
A Concise Guide To Semigroups And Evolution Equations Book PDF

Author : Belleni-morante Aldo
Publisher : World Scientific
Page : 180 pages
File Size : 46,5 Mb
Release : 1994-05-18
Category : Mathematics
ISBN : 9789813104570

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A Concise Guide To Semigroups And Evolution Equations by Belleni-morante Aldo Pdf

This book is a simple and concise introduction to the theory of semigroups and evolution equations, both in the linear and in the semilinear case. The subject is presented by a discussion of two standard boundary value problems (from particle transport theory and from population theory), and by showing how such problems can be rewritten as evolution problems in suitable Banach spaces.Each section of the book is completed by some notes, where the relevant notions of functional analysis are explained. Some other definitions and theorems of functional analysis are discussed in the Appendices (so that the only prerequisites to read the book are classical differential and integral calculus).

One-Parameter Semigroups for Linear Evolution Equations

Klaus-Jochen Engel,Rainer Nagel
One Parameter Semigroups for Linear Evolution Equations Book PDF

Author : Klaus-Jochen Engel,Rainer Nagel
Publisher : Springer Science & Business Media
Page : 589 pages
File Size : 51,8 Mb
Release : 2006-04-06
Category : Mathematics
ISBN : 9780387226422

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One-Parameter Semigroups for Linear Evolution Equations by Klaus-Jochen Engel,Rainer Nagel Pdf

This book explores the theory of strongly continuous one-parameter semigroups of linear operators. A special feature of the text is an unusually wide range of applications such as to ordinary and partial differential operators, to delay and Volterra equations, and to control theory. Also, the book places an emphasis on philosophical motivation and the historical background.

Semigroup Theory and Evolution Equations

Philippe Clement
Semigroup Theory and Evolution Equations Book PDF

Author : Philippe Clement
Publisher : CRC Press
Page : 550 pages
File Size : 42,8 Mb
Release : 1991-06-24
Category : Mathematics
ISBN : 0824785452

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Semigroup Theory and Evolution Equations by Philippe Clement Pdf

Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e

Discovering Evolution Equations with Applications

Mark McKibben
Discovering Evolution Equations with Applications Book PDF

Author : Mark McKibben
Publisher : CRC Press
Page : 458 pages
File Size : 46,5 Mb
Release : 2010-07-19
Category : Mathematics
ISBN : 9781420092073

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Discovering Evolution Equations with Applications by Mark McKibben Pdf

Discovering Evolution Equations with Applications: Volume 1-Deterministic Equations provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. It gives nonspecialists, even those with minimal prior exposure to analysis, the foundation to understand what evolution equations are and how to work with them in various areas of practice. After presenting the essentials of analysis, the book discusses homogenous finite-dimensional ordinary differential equations. Subsequent chapters then focus on linear homogenous abstract, nonhomogenous linear, semi-linear, functional, Sobolev-type, neutral, delay, and nonlinear evolution equations. The final two chapters explore research topics, including nonlocal evolution equations. For each class of equations, the author develops a core of theoretical results concerning the existence and uniqueness of solutions under various growth and compactness assumptions, continuous dependence upon initial data and parameters, convergence results regarding the initial data, and elementary stability results. By taking an applications-oriented approach, this self-contained, conversational-style book motivates readers to fully grasp the mathematical details of studying evolution equations. It prepares newcomers to successfully navigate further research in the field.

Singularly Perturbed Evolution Equations with Applications to Kinetic Theory

J. R. Mika,J. Banasiak
Singularly Perturbed Evolution Equations with Applications to Kinetic Theory Book PDF

Author : J. R. Mika,J. Banasiak
Publisher : World Scientific
Page : 332 pages
File Size : 53,7 Mb
Release : 1995
Category : Science
ISBN : 9810221258

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Singularly Perturbed Evolution Equations with Applications to Kinetic Theory by J. R. Mika,J. Banasiak Pdf

In recent years there appeared a large number of papers as well as chapters in more general monographs devoted to evolution equations containing small (or large) parameters. In this book it is intended to gather the existing results as well as to introduce new ones on the field of initial value problems for singularly perturbed evolution equations of the resonance type. Such equations are of great interest in the applied sciences, particularly in the kinetic theory which is chosen as the main field of application for the asymptotic theory developed in the monograph.

Evolution Equations and Approximations

Kazufumi Ito,F. Kappel
Evolution Equations and Approximations Book PDF

Author : Kazufumi Ito,F. Kappel
Publisher : World Scientific
Page : 524 pages
File Size : 48,6 Mb
Release : 2002
Category : Science
ISBN : 9812380264

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Evolution Equations and Approximations by Kazufumi Ito,F. Kappel Pdf

Annotation Ito (North Carolina State U.) and Kappel (U. of Graz, Austria) offer a unified presentation of the general approach for well-posedness results using abstract evolution equations, drawing from and modifying the work of K. and Y. Kobayashi and S. Oharu. They also explore abstract approximation results for evolution equations. Their work is not a textbook, but they explain how instructors can use various sections, or combinations of them, as a foundation for a range of courses. Annotation copyrighted by Book News, Inc., Portland, OR

Qualitative Estimates For Partial Differential Equations

J N Flavin,S. Rionero
Qualitative Estimates For Partial Differential Equations Book PDF

Author : J N Flavin,S. Rionero
Publisher : CRC Press
Page : 390 pages
File Size : 45,5 Mb
Release : 2020-12-18
Category : Mathematics
ISBN : 9781000142372

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Qualitative Estimates For Partial Differential Equations by J N Flavin,S. Rionero Pdf

Qualitative Estimates For Partial Differential Equations: An Introduction describes an approach to the use of partial differential equations (PDEs) arising in the modelling of physical phenomena. It treats a wide range of differential inequality techniques applicable to problems arising in engineering and the natural sciences, including fluid and solid mechanics, physics, dynamics, biology, and chemistry. The book begins with an elementary discussion of the fundamental principles of differential inequality techniques for PDEs arising in the solution of physical problems, and then shows how these are used in research. Qualitative Estimates For Partial Differential Equations: An Introduction is an ideal book for students, professors, lecturers, and researchers who need a comprehensive introduction to qualitative methods for PDEs arising in engineering and the natural sciences.

Impulsive Differential Equations with a Small Parameter

Dimit?r Ba?nov,Val‚ry Covachev
Impulsive Differential Equations with a Small Parameter Book PDF

Author : Dimit?r Ba?nov,Val‚ry Covachev
Publisher : World Scientific
Page : 292 pages
File Size : 49,7 Mb
Release : 1994
Category : Mathematics
ISBN : 9810214340

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Impulsive Differential Equations with a Small Parameter by Dimit?r Ba?nov,Val‚ry Covachev Pdf

This book is devoted to impulsive differential equations with a small parameter. It consists of three chapters. Chapter One serves as an introduction. In Chapter Two, regularly perturbed impulsive differential equations are considered. Modifications of the method of small parameter, the averaging method, and the method of integral manifolds are proposed. In Chapter Three, singularly perturbed differential equations are considered. A modification of the method of boundary functions is proposed, and asymptotic expansions along the powers of the small parameters of the solutions of the initial value problem, the periodic problem, and some boundary value problems are found. Numerous nonstandard applications to the theory of optimal control are made. The application of some other methods to impulsive singularly perturbed equations is illustrated, such as the numerical-analytical method for finding periodic solutions, the method of differential inequalities and the averaging method.The book is written clearly, strictly, and understandably. It is intended for mathematicians, physicists, chemists, biologists and economists, as well as for senior students of these specialities.

Impulsive Differential Equations: Asymptotic Properties Of The Solutions

Drumi D Bainov,Pavel Simeonov
Impulsive Differential Equations Asymptotic Properties Of The Solutions Book PDF

Author : Drumi D Bainov,Pavel Simeonov
Publisher : World Scientific
Page : 246 pages
File Size : 54,5 Mb
Release : 1995-03-29
Category : Mathematics
ISBN : 9789814501880

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Impulsive Differential Equations: Asymptotic Properties Of The Solutions by Drumi D Bainov,Pavel Simeonov Pdf

The question of the presence of various asymptotic properties of the solutions of ordinary differential equations arises when solving various practical problems. The investigation of these questions is still more important for impulsive differential equations which have a wider field of application than the ordinary ones.The results obtained by treating the asymptotic properties of the solutions of impulsive differential equations can be found in numerous separate articles. The systematized exposition of these results in a separate book will satisfy the growing interest in the problems related to the asymptotic properties of the solutions of impulsive differential equations and their applications.

Multigroup Equations for the Description of the Particle Transport in Semiconductors

Martin Galler
Multigroup Equations for the Description of the Particle Transport in Semiconductors Book PDF

Author : Martin Galler
Publisher : World Scientific
Page : 250 pages
File Size : 49,6 Mb
Release : 2005
Category : Technology & Engineering
ISBN : 9789812703385

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Multigroup Equations for the Description of the Particle Transport in Semiconductors by Martin Galler Pdf

Deterministic simulation of the particle transport in semiconductor devices is an interesting alternative to the common Monte Carlo approach. In this book, a state-of-the-art technique called the multigroup approach is presented and applied to a variety of transport problems in bulk semiconductors and semiconductor devices. High-field effects as well as hot-phonon phenomena in polar semiconductors are studied in detail. The mathematical properties of the presented numerical method are studied, and the method is applied to simulating the transport of a two-dimensional electron gas formed at a semiconductor heterostructure. Concerning semiconductor device simulation, several diodes and transistors fabricated of silicon and gallium arsenide are investigated. For all of these simulations, the numerical techniques employed are discussed in detail. This unique study of the application of direct methods for semiconductor device simulation provides the interested reader with an indispensable reference on this growing research area.

Differential Equations, Bifurcations, and Chaos in Economics

Wei-Bin Zhang
Differential Equations Bifurcations and Chaos in Economics Book PDF

Author : Wei-Bin Zhang
Publisher : World Scientific Publishing Company
Page : 512 pages
File Size : 46,7 Mb
Release : 2005-07-18
Category : Business & Economics
ISBN : 9789813106512

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Differential Equations, Bifurcations, and Chaos in Economics by Wei-Bin Zhang Pdf

Although the application of differential equations to economics is a vast and vibrant area, the subject has not been systematically studied; it is often treated as a subsidiary part of mathematical economics textbooks. This book aims to fill that void by providing a unique blend of the theory of differential equations and their exciting applications to dynamic economics. Containing not just a comprehensive introduction to the applications of the theory of linear (and linearized) differential equations to economic analysis, the book also studies nonlinear dynamical systems, which have only been widely applied to economic analysis in recent years. It provides comprehensive coverage of the most important concepts and theorems in the theory of differential equations in a way that can be understood by any reader who has a basic knowledge of calculus and linear algebra. In addition to traditional applications of the theory to economic dynamics, the book includes many recent developments in different fields of economics.

Pedestrian Dynamics

Pushkin Kachroo,Sadeq J. Al-nasur,Sabiha Amin Wadoo,Apoorva Shende
Pedestrian Dynamics Book PDF

Author : Pushkin Kachroo,Sadeq J. Al-nasur,Sabiha Amin Wadoo,Apoorva Shende
Publisher : Springer Science & Business Media
Page : 246 pages
File Size : 49,5 Mb
Release : 2008-01-24
Category : Technology & Engineering
ISBN : 9783540755616

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Pedestrian Dynamics by Pushkin Kachroo,Sadeq J. Al-nasur,Sabiha Amin Wadoo,Apoorva Shende Pdf

Effective evacuations can save lives. This book provides mathematical models of pedestrian movements that can be used specifically for designing feedback control laws for effective evacuation. The book also provides various feedback control laws to accomplish the effective evacuation. It book uses the hydrodynamic hyperbolic PDE macroscopic pedestrian models since they are amenable to feedback control design. The control designs are obtained through different nonlinear techniques.

Modelling Mathematical Methods and Scientific Computation

Nicola Bellomo,Luigi Preziosi
Modelling Mathematical Methods and Scientific Computation Book PDF

Author : Nicola Bellomo,Luigi Preziosi
Publisher : CRC Press
Page : 516 pages
File Size : 50,9 Mb
Release : 1994-12-22
Category : Mathematics
ISBN : 0849383315

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Modelling Mathematical Methods and Scientific Computation by Nicola Bellomo,Luigi Preziosi Pdf

Addressed to engineers, scientists, and applied mathematicians, this book explores the fundamental aspects of mathematical modelling in applied sciences and related mathematical and computational methods. After providing the general framework needed for mathematical modelling-definitions, classifications, general modelling procedures, and validation methods-the authors deal with the analysis of discrete models. This includes modelling methods and related mathematical methods. The analysis of models is defined in terms of ordinary differential equations. The analysis of continuous models, particularly models defined in terms of partial differential equations, follows. The authors then examine inverse type problems and stochastic modelling. Three appendices provide a concise guide to functional analysis, approximation theory, and probability, and a diskette included with the book includes ten scientific programs to introduce the reader to scientific computation at a practical level.

Advanced Mathematical & Computational Tools in Metrology VII

P. Ciarlini
Advanced Mathematical Computational Tools in Metrology VII Book PDF

Author : P. Ciarlini
Publisher : World Scientific
Page : 386 pages
File Size : 43,5 Mb
Release : 2006
Category : Computers
ISBN : 9789812566744

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Advanced Mathematical & Computational Tools in Metrology VII by P. Ciarlini Pdf

This volume collects the refereed contributions based on the presentations made at the Seventh Workshop on Advanced Mathematical and Computational Tools in Metrology, a forum for metrologists, mathematicians and software engineers that will encourage a more effective synthesis of skills, capabilities and resources. The volume contains articles by world renowned metrologists and mathematicians involved in measurement science and, together with the six previous volumes in this series, constitutes an authoritative source of the mathematical, statistical and software tools necessary in modern metrology. Contents: Modeling Measurement Processes in Complex Systems with Partial Differential Equations: From Heat Conduction to the Heart (M Baer et al.); Mereotipological Approach for Measurement Software (E Benoit & R Dapoigny); Data Evaluation of Key Comparisons Involving Several Artefacts (M G Cox et al.); Box-Cox Transformations Versus Robust Control Charts in Statistical Process Control (M I Gomes & F O Figueiredo); Decision Making Using Sensor's Data Fusion and Kohonen Self Organizing Maps (P S Girao et al.); Generic System Design for Measurement Databases Applied to Calibrations in Vacuum Metrology, Bio-Signals and a Template System (H Gro et al.); Repeated Measurements: Evaluation of Their Uncertainty from the Viewpoints of Classical and Bayesian Statistics (I Lira & W Woger); Detection of Outliers in Interlaboratory Testing and Some Thoughts About Multivariate Precision (C Perruchet); On Appropriate Methods for the Validation of Metrological Software (D Richter et al.); Data Analysis-A Dialogue (D S Sivia); Validation of a Virtual Sensor for Monitoring Ambient Parameters (P Ciarlini et al.); Evaluation of Standard Uncertainties in Nested Structures (E Filipe); Linking GUM and ISO 5725 (A B Forbes); Monte Carlo Study on Logical and Statistical Correlation (B Siebert et al.); Some Problems Concerning the Estimate of the Uncertainty of the Degree of Equivalence in MRA Key Comparisons (F Pavese); Preparing for a European Research Area Network in Metrology: Where are We Now? (M Kuhne et al.); and other papers. Readership: Researchers, graduate students, academics and professionals in metrology.