5 edition of Functional differential operators and equations found in the catalog.
Includes bibliographical references and indexes.
|Statement||by Vitalii G. Kurbatov.|
|Series||Mathematics and its applications ;, v. 473, Mathematics and its applications (Kluwer Academic Publishers) ;, v. 473.|
|LC Classifications||QA372 .K965 1999|
|The Physical Object|
|Pagination||xx, 432 p. ;|
|Number of Pages||432|
|LC Control Number||99013569|
Functional Equations with Causal Operators explains the connection between equations with causal operators and the classical types of functional equations encountered by mathematicians and engineers. It details the fundamentals of linear equations and stability theory and provides several applications and examples. Graduate students interested in functional analysis and its applications, e.g., to differential equations and Fourier analysis. Reviews & Endorsements Markus Haase's beautiful book lives up to its promise: it provides a well-structured and gentle introduction to the fundamental concepts of functional analysis.
The paper is closely related to the book of A. L. Skubachevskii [Elliptic functional-differential equations and applications. Basel: Birkhäuser (; Zbl )]. View. Functional analysis plays an important role in the applied sciences as well as in mathematics itself. These notes are intended to familiarize the student with the basic concepts, principles andmethods of functional analysis and its applications, and they are intended for senior undergraduate or beginning graduate students.
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Functional Differential Operators and Equations "This book provides a thorough and rigorous presentation of the use of operator theory methods to study the linear theory of functional-differential equations It is a practically self-contained book by means of which students and researchers working in functional analysis can be introduced Cited by: This book deals with linear functional differential equations and operator theory methods for their investigation.
The main topics are: the equivalence of the input-output stability of the equation Lx = &mathsf; and the invertibility of the operator L in the class of casual operators; the equivalence of input-output and exponential stability; the equivalence of the dichotomy of solutions for.
Get this from a library. Functional differential operators and equations. [V G Kurbatov] -- "This book deals with linear functional differential equations and operator theory methods for their investigation." "This monograph will be of interest to students and researchers working in.
In the functional analysis books that I have read, they do not explain how the ideas and theorems of functional analysis (in the sense of operators on Banach spaces) help to deal with differential equations, such as proving existence or uniqueness of solutions.
The chapter also describes general applications to differential equations, classification of nonlinear integral equations, contraction mapping theorems (metric spaces and the pseudometric spaces), Schauder–Theorem and monotonically decomposible operators, the fixed point theorem of Krasnoselskij along with various other theorems and examples.
The differential operator del, Functional differential operators and equations book called nabla operator, is an important vector differential operator. It appears frequently in physics in places like the differential form of Maxwell's three-dimensional Cartesian coordinates, del is defined: ∇ = ^ ∂ ∂ + ^ ∂ ∂ + ^ ∂ ∂.
Del defines the gradient, and is used to calculate the curl, divergence, and Laplacian of various. Definitely the best intro book on ODEs that I've read is Ordinary Differential Equations by Tenebaum and Pollard.
Dover books has a reprint of the book for maybe dollars on Amazon, and considering it has answers to most of the problems found. The book is a valuable reference text for researchers in the areas of differential equations, functional analysis, mathematical physics, and system theory.
Moreover, thanks to its detailed exposition of the theory, it is also accessible and useful for advanced students and researchers in other branches of natural sciences and engineering.
"This book is devoted to functional equations of a special type, namely to those appearing in competitions. The book contains many solved examples and problems at the end of each chapter. The book has pages, 5 chapters and an appendix, a Hints/Solutions section, a short bibliography and an index.
Cited by: "Functional differential equation" is the general name for a number of more specific types of differential equations that are used in numerous applications. There are delay differential equations, integro-differential equations, and so on.
This well illustrated book aims to be self contained so the readers will find in this book all relevant materials in bifurcation, dynamical systems with symmetry, functional differential equations. Harry Bateman was a famous English mathematician. In writing this book he had endeavoured to supply some elementary material suitable for the needs of students who are studying the subject for the first time, and also some more advanced work which may be useful to men who are interested more in physical mathematics than in the developments of differential geometry and.
Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations.
Knowledge of these techniques is particularly useful as. Book Description. Together with the authors' Volume I. C*-Theory, the two parts comprising Functional Differential Equations: II. C*-Applications form a masterful work-the first thorough, up-to-date exposition of this field of modern analysis lying between differential equations and.
We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact. One major change was a complete new presentation of lin ear systems (Chapters 6~9) for retarded and neutral functional differential equations.
This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which PDEs require. This material is intended for second year graduate students of mathematics and is based on a course taught at Michigan State University for a number of years.
In this book, which is basically self-contained, we concentrate on partial differential equations in mathematical physics and on operator semigroups with their generators.
A central theme is a thorough treatment of distribution theory. Techniques of Functional Analysis for Differential and Integral Equations describes a variety of powerful and modern tools from mathematical analysis, for graduate study and further research in ordinary differential equations, integral equations and partial differential equations.
Knowledge of these techniques is particularly useful as preparation for graduate courses and PhD research. The present book describes the state-of-art in the middle of the 20th century, concerning first order differential equations of known solution formulæ. Among the topics can be found exact differential forms, homogeneous differential forms, integrating factors, separation of the variables, and linear differential equations, Bernoulli's equation.
Functional Analysis, Sobolev Spaces, and Partial Differential Equations by Haim Brezis. This violates your rule of not developing the functional analysis material, but is a very good book. You can skip the stuff you know and jump right to the PDE / operator bits. An Introduction to Partial Differential Equations by Michael Renardy and Robert.
Linear Partial Differential Operators. Lars Hörmander. Springer, - Mathematics - pages. 0 Reviews. Preview this book Interior regularity of solutions of differential equations. The Cauchy problem constant coefficients. Differential operators with variable coefficients.
The present book builds upon an earlier work of J. Hale, "Theory of Func- tional Differential Equations" published in We have tried to maintain the spirit of that book and have retained approximately one-third of the material intact.5/5(3).
Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finite-dimensional linear algebra.