3 edition of Integral and Functional Differential Equations (Pure and Applied Mathematics (Marcel Dekker)) found in the catalog.
May 1, 1981
Written in English
|The Physical Object|
|Number of Pages||296|
Elementary Differential Equations with Boundary Value Problems is written for students in science, en-gineering,and mathematics whohave completed calculus throughpartialdifferentiation. Ifyoursyllabus includes Chapter 10 (Linear Systems of Differential Equations), your students should have some prepa-ration inlinear algebra. The text also presents general optimal control problems, optimal control of ordinary differential equations, and different types of functional-integral equations. The book discusses control problems defined by equations in Banach spaces, the convex cost functionals, and the weak necessary conditions for an original Edition: 1.
Ulam Stability of Operators presents a modern, unified, and systematic approach to the field. Focusing on the stability of functional equations across single variable, difference equations, differential equations, and integral equations, the book collects, compares, unifies, complements, generalizes, and updates key results. 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 deals with linear integral equations, that is, equations involving an unknown function which appears under the integral sign and contains topics such as Abel's integral equation, Volterra integral equations, Fredholm integral integral equations, singular and nonlinear integral equations, orthogonal systems of functions, Green's. The book can be used as a database of test problems for numerical and approximate methods for solving linear and nonlinear integral equations. Discover the world's research 17+ million members.
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Integral and Functional Differential Equations (Lecture Notes in Pure and Applied Mathematics) 1st Edition by H. Stech (Author) ISBN ISBN Why is ISBN important. ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book.
Cited by: 7. Theory of Functionals and of Integral and Integro-Differential Equations (Dover Books on Mathematics) Hardcover – Janu by Vito Volterra (Author) › Visit Amazon's Vito Volterra Page. Find all the books, read about the author, and more.
See search results for this author Cited by: This is the first comprehensive introduction to collocation methods for the numerical solution of initial-value problems for ordinary differential equations, Volterra integral and integro-differential equations, and various classes of more general functional equations.
Its principal aims are to guide the reader from basic ideas to the current state of the art, to describe important problems and directions Format: Hardcover. 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 in differential equations Format: Paperback. Book Description. The purpose of this book is threefold: to be used for graduate courses on integral equations; to be a reference for researchers; and to describe methods of application of the theory.
The author emphasizes the role of Volterra equations as a unifying tool in the study of functional equations, and investigates the relation between abstract Volterra equations and other types of functional-differential by: This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems.
Differential and Integral Inequalities: Functional Partial, Abstract and Complex Differential Equations v. 2: Theory and Applications: Functional | Lakshmikantham | download | B–OK.
Download books for free. Find books. Description 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.
Theory of functionals and of integral and integro-differential equations Vito Volterra A general theory of the functions depending on a continuous set of values of another function, this volume is based on the author's fundamental notion of the transition from a finite number of.
SOME REMARKS AND NOTATION 1. In Chapters 1–11 in the original integral equations, the independent variable is denoted by x, the integration variable by t, and the unknown function by y = y(x).
For a function of one variable f = f(x), we use the following notation for the derivatives: f. Book description Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical by: functional equations but Sm`ıtal presents beautifully the topic of iterations and functional equations of one variable2.
Similarly, Small’s book  is a very enjoyable, well written book and focuses on the most essential aspects of functional equations. Once the reader. This book explains the following topics: First Order Equations, Numerical Methods, Applications of First Order Equations1em, Linear Second Order Equations, Applcations of Linear Second Order Equations, Series Solutions of Linear Second Order Equations, Laplace Transforms, Linear Higher Order Equations, Linear Systems of Differential Equations, Boundary Value Problems and Fourier.
"The Conference on Integral and Functional Differential Equations was held June, at West Virginia University in Morgantown, West Virginia"--Preface. Description: x, pages ; 26 cm. Series Title: Lecture notes in pure and applied mathematics, v.
Responsibility: edited by Terry L. Herdman and Harlan W. Stech and Samuel M. The theorems for regular integral equations may easily be carried over to cases in which fewer assumptions are made about the kernel. The definitions of regular and singular integral equations used here follow those in Ph.
Frank and R. Mises: Differential-and Integralgleichungen der Mechanik and Physik, 2nd ed., Vol. 1, p. Brunswick Collocation methods for Volterra integral and related functional differential equations Brunner H. This is the first comprehensive introduction to collocation methods for the numerical solution of initial-value problems for ordinary differential equations, Volterra integral and integro-differential equations, and various classes of more general.
ordinary differential equations, partial differential equations, Laplace transforms, Fourier transforms, Hilbert transforms, analytic functions of complex variables and contour integrations are expected on the part of the reader. The book deals with linear integral equations, that is, equations involving an.
Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framework, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general p.
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.
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.
About this book This classic work is now available in an unabridged paperback edition. Hochstatdt's concise treatment of integral equations represents the best compromise between the detailed classical approach and the faster functional analytic approach, while .Linear and Nonlinear Integral Equations - Books.
EqWorld.Collocation Methods for Volterra Integral and Related Functional Differential Equations, Cambridge University Press, Cochran, J. A., The Analysis of Linear Integral Equations, McGraw-Hill Book Co., New York, That is, a functional differential equation is an equation that contains some function and some of its derivatives to different argument values.
 Functional differential equations find use in mathematical models that assume a specified behavior or phenomenon depends on the present as well as the past state of a system.