A Generalized Taylor's Formula for Functions of Several Variables and Certain of its Applications PDF Download

Author: J A Riestra
Publisher: CRC Press
ISBN: 1000658376
Category : Mathematics
Languages : en
Pages : 137

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Book Description
The classical Taylor's formula of advanced calculus is generalized, extending the notion of the differentiability class Cm, with applications to maxima and minima and to sufficiency of jets.

Author: J. - A. Riestra
Publisher: Longman Sc & Tech
ISBN: 9780470235607
Category : Science
Languages : en
Pages : 125

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Author: M Nedeljkov
Publisher: CRC Press
ISBN: 9780582356832
Category : Mathematics
Languages : en
Pages : 172

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Book Description
Results from the now-classical distribution theory involving convolution and Fourier transformation are extended to cater for Colombeau's generalized functions. Indications are given how these particular generalized functions can be used to investigate linear equations and pseudo differential operators. Furthermore, applications are also given to problems with nonregular data.

Author: Min-You Qi
Publisher: CRC Press
ISBN: 9780582292123
Category : Mathematics
Languages : en
Pages : 248

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Author: Doina Cioranescu
Publisher: CRC Press
ISBN: 9780582369269
Category : Mathematics
Languages : en
Pages : 354

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Book Description
This book presents the texts of selected lectures on recent work in the field of nonlinear partial differential equations delivered by leading international experts at the well-established weekly seminar held at the Collège de France. Emphasis is on applications to numerous areas, including control theory, theoretical physics, fluid and continuum mechanics, free boundary problems, dynamical systems, scientific computing, numerical analysis, and engineering. Proceedings of this seminar will be of particular interest to postgraduate students and specialists in the area of nonlinear partial differential equations.

Author: Saburou Saitoh
Publisher: CRC Press
ISBN: 1000158047
Category : Mathematics
Languages : en
Pages : 300

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Book Description
The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.

Author: T M Rassias
Publisher: CRC Press
ISBN: 9780582317116
Category : Mathematics
Languages : en
Pages : 284

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Book Description
In this volume, the contributing authors deal primarily with the interaction among problems of analysis and geometry in the context of inner product spaces. They present new and old characterizations of inner product spaces among normed linear spaces and the use of such spaces in various research problems of pure and applied mathematics. The methods employed are accessible to students familiar with normed linear spaces. Some of the theorems presented are at the same time simple and challenging.

Author: Martin Brokate
Publisher: CRC Press
ISBN: 9780582312609
Category : Mathematics
Languages : en
Pages : 136

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Book Description
This volume constitutes the proceedings of a conference on functional analysis and its applications, which took place in India during December 1996. Topics include topological vector spaces, Banach algebras, meromorphic functions, partial differential equations, variational equations and inequalities, optimization, wavelets, elastroplasticity, numerical integration, fractal image compression, reservoir simulation, forest management, and industrial maths.

Author: Robert Deville
Publisher: CRC Press
ISBN: 9780582286986
Category : Mathematics
Languages : en
Pages : 288

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Book Description
Multivariable complex analysis and harmonic analysis provide efficient techniques to study many applied mathematical problems. The main objective of a conference held in Bordeaux in June 1995, in honour of Professor Roger Gay, was to connect these mathematical fields with some of their applications. This was also the guideline for the fourteen contributions collected in this volume. Besides presenting new results, each speaker made a substantial effort in order to present an up to date survey of his field of research. All the subjects presented here are very active domains of research: integral geometry (with its relation to X-ray tomography), classical harmonic analysis and orthogonal polynomials, pluricomplex potential theory (with its deep connection with polynomial approximation), complex analytic methods in the theory of partial differentiable operators with constant coefficients (in the spirit of those initiated by Leon Ehrenpreis), Calderon-Zygmund operators and nonlinear operators, oscillatory integrals and resonance, and finally multivariable residue theory in its most recent developments. It is hoped that the reader will find enough insight in the different survey papers presented here to become involved with one of these subjects or to pursue further applications.

Author: Fethi Belgacem
Publisher: CRC Press
ISBN: 9780582315976
Category : Mathematics
Languages : en
Pages : 260

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Book Description
Elliptic Boundary Value Problems With Indefinite Weights presents a unified approach to the methodologies dealing with eigenvalue problems involving indefinite weights. The principal eigenvalue for such problems is characterized for various boundary conditions. Such characterizations are used, in particular, to formulate criteria for the persistence and extinctions of populations, and applications of the formulations obtained can be quite extensive.