Differential Operators Of Infinite Order With Real Arguments And Their Applications

Author : Nho H…o Dinh
Publisher : World Scientific
Page : 252 pages
File Size : 54,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9810216114

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Differential Operators of Infinite Order with Real Arguments and Their Applications by Nho H…o Dinh Pdf

This book is devoted to the theory of infinite-order linear and nonlinear differential operators with several real arguments and their applications to problems of partial differential equations and numerical analysis.Part I develops the theory of pseudodifferential operators with real analytic symbols, the local representatives of which are linear differential operators of infinite order acting in the spaces of basic and generalized functions based on the duality of the spaces of real analytic functions and functionals. Applications to a variety of problems of PDEs and numerical analysis are given. Part II is devoted to the theory of Sobolev-Orlicz spaces of infinite order and the solvability of nonlinear partial differential equations with arbitrary nonlinearities.

Author : Julii A. Dubinskii
Publisher : Springer Science & Business Media
Page : 265 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401132084

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Analytic Pseudo-Differential Operators and their Applications by Julii A. Dubinskii Pdf

One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aIle:' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.

Author : Dilip N. Ghosh Roy,L. S. Couchman
Publisher : Academic Press
Page : 336 pages
File Size : 53,5 Mb
Release : 2001-10-04
Category : Computers
ISBN : 0080546137

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Inverse Problems and Inverse Scattering of Plane Waves by Dilip N. Ghosh Roy,L. S. Couchman Pdf

The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter. Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.

Author : Julii A. Dubinskii
Publisher : Springer Science & Business Media
Page : 170 pages
File Size : 44,5 Mb
Release : 1986-12-31
Category : Mathematics
ISBN : 9027721475

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Sobolev Spaces of Infinite Order and Differential Equations by Julii A. Dubinskii Pdf

Author : Sabir Umarov
Publisher : Springer
Page : 434 pages
File Size : 40,9 Mb
Release : 2015-08-18
Category : Mathematics
ISBN : 9783319207711

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Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols by Sabir Umarov Pdf

The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.

Author : Julii A. Dubinskii
Publisher : Springer
Page : 252 pages
File Size : 41,7 Mb
Release : 1991-07-31
Category : Mathematics
ISBN : 9780792312963

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Analytic Pseudo-Differential Operators and their Applications by Julii A. Dubinskii Pdf

One service mathematics has rendered the 'Et moi, ... , si j'avait su comment en revenir, je n'y serais point aIle:' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics ... '; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics ... '. All arguably true. And all statements obtainable this way form part of the raison d'elre of this series.

Author : Anonim
Publisher : Unknown
Page : 1952 pages
File Size : 55,8 Mb
Release : 1995
Category : United States
ISBN : UOM:39015033851158

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American Book Publishing Record by Anonim Pdf

Author : Anonim
Publisher : World Scientific
Page : 474 pages
File Size : 46,5 Mb
Release : 1996
Category : Cosmology
ISBN : 9789814531238

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Thermal Field Theories and Their Applications by Anonim Pdf

"Thermal field theory is the study of quantum field theory at non-zero temperature. This proceedings introduces both retrospect and prospect for various aspects of thermal field theory as well as their extensive applications to condensed matter physics, high energy physics, cosmology, nuclear physics, etc. Also included are speeches memorizing the recently lamented Professor Hiroomi Umezawa, a leading physicist in thermal field theory, by his former students and colleagues."--Publisher's website.

Author : Vladimir Shepselevich Burd
Publisher : Chapman and Hall/CRC
Page : 364 pages
File Size : 54,9 Mb
Release : 2007-03-19
Category : Mathematics
ISBN : UVA:X030260537

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Method of Averaging for Differential Equations on an Infinite Interval by Vladimir Shepselevich Burd Pdf

Explains the modern theory of the method of averaging and provides a understanding of the results obtained when applying this theory. This book starts with the less complicated theory of averaging linear differential equations (LDEs), focusing on almost periodic functions. It also includes chapters devoted to systems with a rapidly rotating phase.

Author : New York Public Library Staff
Publisher : Macmillan Reference USA
Page : 684 pages
File Size : 55,7 Mb
Release : 1996-07
Category : Electronic
ISBN : 0783813201

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Bibliographic Guide to East Asian Studies by New York Public Library Staff Pdf

An aid for reseaching non-western cultures, the Bibliographic Guide to East Asian Studies covers Japan, China, North and South Korea, Honk Kong, and Taiwan, with approximately 3,500 listings from LC MARC tapes and the Oriental Division of The New York Public Library. It includes publications about East Asia; materials published in any of the relevant countries; and publications in the Chinese, Japanese and Korean languages. Listings are transcribed into Anglicised characters. Each entry provides complete bibliographic information, along with the NYPL and/or LC call numbers.

Author : A Barut,R Raczka
Publisher : World Scientific Publishing Company
Page : 740 pages
File Size : 55,9 Mb
Release : 1986-11-01
Category : Mathematics
ISBN : 9789813103870

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Theory of Group Representations and Applications by A Barut,R Raczka Pdf

The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be useful in many areas of research. It is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations. Request Inspection Copy

Author : John R. Graef,Johnny Henderson,Abdelghani Ouahab
Publisher : Walter de Gruyter
Page : 410 pages
File Size : 46,8 Mb
Release : 2013-07-31
Category : Mathematics
ISBN : 9783110295313

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Impulsive Differential Inclusions by John R. Graef,Johnny Henderson,Abdelghani Ouahab Pdf

Differential equations with impulses arise as models of many evolving processes that are subject to abrupt changes, such as shocks, harvesting, and natural disasters. These phenomena involve short-term perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. In models involving such perturbations, it is natural to assume these perturbations act instantaneously or in the form of impulses. As a consequence, impulsive differential equations have been developed in modeling impulsive problems in physics, population dynamics, ecology, biotechnology, industrial robotics, pharmacokinetics, optimal control, and so forth. There are also many different studies in biology and medicine for which impulsive differential equations provide good models. During the last 10 years, the authors have been responsible for extensive contributions to the literature on impulsive differential inclusions via fixed point methods. This book is motivated by that research as the authors endeavor to bring under one cover much of those results along with results by other researchers either affecting or affected by the authors' work. The questions of existence and stability of solutions for different classes of initial value problems for impulsive differential equations and inclusions with fixed and variable moments are considered in detail. Attention is also given to boundary value problems. In addition, since differential equations can be viewed as special cases of differential inclusions, significant attention is also given to relative questions concerning differential equations. This monograph addresses a variety of side issues that arise from its simpler beginnings as well.

Author : M W Wong
Publisher : World Scientific Publishing Company
Page : 196 pages
File Size : 47,5 Mb
Release : 2014-03-11
Category : Mathematics
ISBN : 9789814583107

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An Introduction to Pseudo-Differential Operators by M W Wong Pdf

The aim of this third edition is to give an accessible and essentially self-contained account of pseudo-differential operators based on the previous edition. New chapters notwithstanding, the elementary and detailed style of earlier editions is maintained in order to appeal to the largest possible group of readers. The focus of this book is on the global theory of elliptic pseudo-differential operators on Lp(Rn). The main prerequisite for a complete understanding of the book is a basic course in functional analysis up to the level of compact operators. It is an ideal introduction for graduate students in mathematics and mathematicians who aspire to do research in pseudo-differential operators and related topics.

Author : Thomas Meurer
Publisher : Springer Science & Business Media
Page : 373 pages
File Size : 47,5 Mb
Release : 2012-08-13
Category : Technology & Engineering
ISBN : 9783642300158

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Control of Higher–Dimensional PDEs by Thomas Meurer Pdf

This monograph presents new model-based design methods for trajectory planning, feedback stabilization, state estimation, and tracking control of distributed-parameter systems governed by partial differential equations (PDEs). Flatness and backstepping techniques and their generalization to PDEs with higher-dimensional spatial domain lie at the core of this treatise. This includes the development of systematic late lumping design procedures and the deduction of semi-numerical approaches using suitable approximation methods. Theoretical developments are combined with both simulation examples and experimental results to bridge the gap between mathematical theory and control engineering practice in the rapidly evolving PDE control area. The text is divided into five parts featuring: - a literature survey of paradigms and control design methods for PDE systems - the first principle mathematical modeling of applications arising in heat and mass transfer, interconnected multi-agent systems, and piezo-actuated smart elastic structures - the generalization of flatness-based trajectory planning and feedforward control to parabolic and biharmonic PDE systems defined on general higher-dimensional domains - an extension of the backstepping approach to the feedback control and observer design for parabolic PDEs with parallelepiped domain and spatially and time varying parameters - the development of design techniques to realize exponentially stabilizing tracking control - the evaluation in simulations and experiments Control of Higher-Dimensional PDEs — Flatness and Backstepping Designs is an advanced research monograph for graduate students in applied mathematics, control theory, and related fields. The book may serve as a reference to recent developments for researchers and control engineers interested in the analysis and control of systems governed by PDEs.

Author : Michael Darnel
Publisher : CRC Press
Page : 554 pages
File Size : 41,6 Mb
Release : 2021-12-16
Category : Mathematics
ISBN : 9781000105179

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Theory of Lattice-Ordered Groups by Michael Darnel Pdf

Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists interested in topics such as group, order, number and lattice theory, universal algebra, and representation theory; and upper-level undergraduate and graduate students in these disciplines.;College or university bookstores may order five or more copies at a special student price which is available from Marcel Dekker Inc, upon request.