Download or read book Theory of Differential Equations written by I. M. Gel'fand and published by Academic Press. This book was released on 2014-05-12 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized Functions, Volume 3: Theory of Differential Equations focuses on the application of generalized functions to problems of the theory of partial differential equations. This book discusses the problems of determining uniqueness and correctness classes for solutions of the Cauchy problem for systems with constant coefficients and eigenfunction expansions for self-adjoint differential operators. The topics covered include the bounded operators in spaces of type W, Cauchy problem in a topological vector space, and theorem of the Phragmén-Lindelöf type. The correctness classes for the Cauchy problem, systems that are Petrovski?-correct, and generalized eigenfunctions of self-adjoint operators are also reviewed. This text likewise covers the differentiation of functionals of strongly and weakly bounded variation. This volume is beneficial to students and researchers interested in the theory of differential equations.
Download or read book Generalized Functions Volume 3 written by I. M. Gel'fand and published by American Mathematical Soc.. This book was released on 2016-03-30 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects were developed much earlier, most notably in the definition of the Green's function in mathematics and in the work of Paul Dirac on quantum electrodynamics in physics. The six-volume collection, Generalized Functions, written by I. M. Gel'fand and co-authors and published in Russian between 1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and representation theory. In Volume 3, applications of generalized functions to the Cauchy problem for systems of partial differential equations with constant coefficients are considered. The book includes the study of uniqueness classes of solutions of the Cauchy problem and the study of classes of functions where the Cauchy problem is well posed. The last chapter of this volume presents results related to spectral decomposition of differential operators related to generalized eigenfunctions.
Download or read book Several Complex Variables III written by G.M. Khenkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space
Download or read book Generalized Functions Theory of differential equations by I M Gel fand and G E Shilov written by Izrailʹ Moiseevich Gelʹfand and published by . This book was released on 1964 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Divergent Dynamics of Economic Growth written by Richard H. Day and published by Cambridge University Press. This book was released on 2003-11-13 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains how changing technology and economizing behaviour induce vast changes in productivity, resource allocation, labour utilization, and patterns of living. Economic growth is seen as a process by which businesses, regimes, countries, and the whole world pass through distinct epochs, each one emerging from its predecessor, each one creating the conditions for its successor. Viewed from a long-run perspective, growth must be characterized as an explosive process, marked by turbulent transitions in social and political life as societies adapt to new opportunities, the demise of old ways of living, and to the vast increase and redistribution of human populations. The book is based on a synthesis of classical economics and contemporary concepts of adaptation and economic evolution. Although it is based on analytical methods, the text has been stripped of all equations and with few exceptions is devoid of technical jargon.
Download or read book Delay Equations written by Odo Diekmann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim here is to provide an introduction to the mathematical theory of infinite dimensional dynamical systems by focusing on a relatively simple - yet rich - class of examples, delay differential equations. This textbook contains detailed proofs and many exercises, intended both for self-study and for courses at graduate level, as well as a reference for basic results. As the subtitle indicates, this book is about concepts, ideas, results and methods from linear functional analysis, complex function theory, the qualitative theory of dynamical systems and nonlinear analysis. The book provides the reader with a working knowledge of applied functional analysis and dynamical systems.
Download or read book Report of NRL Progress written by Naval Research Laboratory (U.S.) and published by . This book was released on 1970 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to the Theory of Entire Functions of Several Variables written by Lev Isaakovich Ronkin and published by American Mathematical Soc.. This book was released on 1974 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Holomorphic Dynamical Systems written by Nessim Sibony and published by Springer Science & Business Media. This book was released on 2010-07-31 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector ?eld) acting on it. The study of a holomorphic dynamical system consists in describing the asymptotic behavior of the system, associating it with some invariant objects (easy to compute) which describe the dynamics and classify the possible holomorphic dynamical systems supported by a given manifold. The behavior of a holomorphic dynamical system is pretty much related to the geometry of the ambient manifold (for instance, - perbolic manifolds do no admit chaotic behavior, while projective manifolds have a variety of different chaotic pictures). The techniques used to tackle such pr- lems are of variouskinds: complexanalysis, methodsof real analysis, pluripotential theory, algebraic geometry, differential geometry, topology. To cover all the possible points of view of the subject in a unique occasion has become almost impossible, and the CIME session in Cetraro on Holomorphic Dynamical Systems was not an exception.
Download or read book Structural Control written by U. Leipholz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of "structural control", which had already experienced some attention through publications, for example by Roorda, Yao, Yang, Abdel-Rohman, Leipholz etc. , mostly in journals of ASCE, was given its fIrst international forum at the University of Waterloo, Waterloo, Ontario, Canada, via an ruTMf - Symposium held in June, 1979. This very successful event gathered experts from a variety of technical and theoretical domains in which control plays tradi tionally an essential role and was meant to present the new idea of structural control to a broad audience, thus triggering interest and commitment as well as cross-fertilization. However, the peculiarities of structural control were already sumciently well pointed out and stressed by those participants of the symposium who had devoted themselves earlier to this specwc topic for some time. The result of presentations and discussions are collected in a set of Proceedings entitled "Structural Control", published by North - Holland Publishing Company and the Solid Mechanics Division (SMD) of the University of Waterloo. The stimulation following this fIrst symposium was quite noticeable in the literature and led to the conviction of many researchers that after a reasonable period of time, a second meeting should be held to collect the fruits produced by the intermediate efforts of those working with increased emphasis on structural control. Therefore, Professors J. T. P. Yao, Department of Civil Engineering, Purdue University and H. H. E.
Download or read book Bulletin of the American Mathematical Society written by American Mathematical Society and published by . This book was released on 1909 with total page 678 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Treatise on Differential Equations written by Andrew Russell Forsyth and published by . This book was released on 1885 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book FAA NASA International Symposium on Advanced Structural Integrity Methods for Airframe Durability and Damage Tolerance written by Charles E. Harris and published by . This book was released on 1994 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Methods of Inverse Problems in Physics written by Dilip N. Ghosh Roy and published by CRC Press. This book was released on 1991-03-14 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interesting volume focuses on the second of the two broad categories into which problems of physical sciences fall-direct (or forward) and inverse (or backward) problems. It emphasizes one-dimensional problems because of their mathematical clarity. The unique feature of the monograph is its rigorous presentation of inverse problems (from quantum scattering to vibrational systems), transmission lines, and imaging sciences in a single volume. It includes exhaustive discussions on spectral function, inverse scattering integral equations of Gel'fand-Levitan and Marcenko, Povzner-Levitan and Levin transforms, Møller wave operators and Krein's functionals, S-matrix and scattering data, and inverse scattering transform for solving nonlinear evolution equations via inverse solving of a linear, isospectral Schrodinger equation and multisoliton solutions of the K-dV equation, which are of special interest to quantum physicists and mathematicians. The book also gives an exhaustive account of inverse problems in discrete systems, including inverting a Jacobi and a Toeplitz matrix, which can be applied to geophysics, electrical engineering, applied mechanics, and mathematics. A rigorous inverse problem for a continuous transmission line developed by Brown and Wilcox is included. The book concludes with inverse problems in integral geometry, specifically Radon's transform and its inversion, which is of particular interest to imaging scientists. This fascinating volume will interest anyone involved with quantum scattering, theoretical physics, linear and nonlinear optics, geosciences, mechanical, biomedical, and electrical engineering, and imaging research.
Download or read book AFOSR written by United States. Air Force. Office of Scientific Research and published by . This book was released on 1950 with total page 1190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopedia of Agrophysics written by Jan Gliński and published by Springer Science & Business Media. This book was released on 2011-06-07 with total page 1075 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Encyclopedia of Agrophysics will provide up-to-date information on the physical properties and processes affecting the quality of the environment and plant production. It will be a "first-up" volume which will nicely complement the recently published Encyclopedia of Soil Science, (November 2007) which was published in the same series. In a single authoritative volume a collection of about 250 informative articles and ca 400 glossary terms covering all aspects of agrophysics will be presented. The authors will be renowned specialists in various aspects in agrophysics from a wide variety of countries. Agrophysics is important both for research and practical use not only in agriculture, but also in areas like environmental science, land reclamation, food processing etc. Agrophysics is a relatively new interdisciplinary field closely related to Agrochemistry, Agrobiology, Agroclimatology and Agroecology. Nowadays it has been fully accepted as an agricultural and environmental discipline. As such this Encyclopedia volume will be an indispensable working tool for scientists and practitioners from different disciplines, like agriculture, soil science, geosciences, environmental science, geography, and engineering.
Download or read book Mercury Cadmium Telluride written by Peter Capper and published by John Wiley & Sons. This book was released on 2011-06-20 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mercury cadmium telluride (MCT) is the third most well-regarded semiconductor after silicon and gallium arsenide and is the material of choice for use in infrared sensing and imaging. The reason for this is that MCT can be ‘tuned’ to the desired IR wavelength by varying the cadmium concentration. Mercury Cadmium Telluride: Growth, Properties and Applications provides both an introduction for newcomers, and a comprehensive review of this fascinating material. Part One discusses the history and current status of both bulk and epitaxial growth techniques, Part Two is concerned with the wide range of properties of MCT, and Part Three covers the various device types that have been developed using MCT. Each chapter opens with some historical background and theory before presenting current research. Coverage includes: Bulk growth and properties of MCT and CdZnTe for MCT epitaxial growth Liquid phase epitaxy (LPE) growth Metal-organic vapour phase epitaxy (MOVPE) Molecular beam epitaxy (MBE) Alternative substrates Mechanical, thermal and optical properties of MCT Defects, diffusion, doping and annealing Dry device processing Photoconductive and photovoltaic detectors Avalanche photodiode detectors Room-temperature IR detectors
