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Stability of Functional Equations in Several Variables, D.H. Hyers; G. Isac; Themistocles Rassias


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Автор: D.H. Hyers; G. Isac; Themistocles Rassias
Название:  Stability of Functional Equations in Several Variables
ISBN: 9780817640248
Издательство: Springer
Классификация:
ISBN-10: 081764024X
Обложка/Формат: Hardcover
Страницы: 318
Вес: 0.62 кг.
Дата издания: 01.09.1998
Серия: Progress in Nonlinear Differential Equations and Their Applications
Язык: English
Размер: 242 x 162 x 21
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The notion of stability of functional equations has been an area of revision and development over the years, having its origins many years ago when S Ulam posed the fundamental problem and D H Hyers gave the first significant partial solution. This volume presents a comprehensive examination of the subject.


L? Approaches in Several Complex Variables

Автор: Takeo Ohsawa
Название: L? Approaches in Several Complex Variables
ISBN: 4431562966 ISBN-13(EAN): 9784431562962
Издательство: Springer
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Цена: 9781.00 р.
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Описание:

Part I Holomorphic Functions and Complex Spaces.- Convexity Notions.- Complex Manifolds.- Classical Questions of Several Complex Variables.- Part II The Method of L Estimates.- Basics of Hilb

ert Space Theory.- Harmonic Forms.- Vanishing Theorems.- Finiteness Theorems.- Notes on Complete Kahler Domains (= CKDs).- Part III L Variant of Oka-Cartan Theory.- Extension Theorems.- Division Theorems.- Multiplier Ideals.- Part IV Bergman Kernels.- The Bergman Kernel and Metric.- Bergman Spaces and Associated Kernels.- Sequences of Bergman Kernels.- Parameter Dependence.- Part V L Approaches to Holomorphic Foliations.- Holomorphic Foliation and Stable Sets.- L Method Applied to Levi Flat Hypersurfaces.- LFHs in Tori and Hopf Surfaces.

Introduction to Functional Equations

Автор: Sahoo
Название: Introduction to Functional Equations
ISBN: 143984111X ISBN-13(EAN): 9781439841112
Издательство: Taylor&Francis
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Цена: 31390.00 р.
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Описание:

Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values.

In order to make the presentation as manageable as possible for students from a variety of disciplines, the book chooses not to focus on functional equations where the unknown functions take on values on algebraic structures such as groups, rings, or fields. However, each chapter includes sections highlighting various developments of the main equations treated in that chapter. For advanced students, the book introduces functional equations in abstract domains like semigroups, groups, and Banach spaces.

Functional equations covered include:

  • Cauchy Functional Equations and Applications
  • The Jensen Functional Equation
  • Pexider's Functional Equation
  • Quadratic Functional Equation
  • D'Alembert Functional Equation
  • Trigonometric Functional Equations
  • Pompeiu Functional Equation
  • Hosszu Functional Equation
  • Davison Functional Equation
  • Abel Functional Equation
  • Mean Value Type Functional Equations
  • Functional Equations for Distance Measures

The innovation of solving functional equations lies in finding the right tricks for a particular equation. Accessible and rooted in current theory, methods, and research, this book sharpens mathematical competency and prepares students of mathematics and engineering for further work in advanced functional equations.

Stability of Functional Equations in Several Variables

Автор: D.H. Hyers; G. Isac; Themistocles Rassias
Название: Stability of Functional Equations in Several Variables
ISBN: 146127284X ISBN-13(EAN): 9781461272847
Издательство: Springer
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Цена: 13974.00 р.
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Описание: In addition to the main topic of the stability of certain functional equa- tions, some other related problems are discussed, including the stability of the convex functional inequality and the stability of minimum points.

Calculus of Several Variables

Автор: Serge Lang
Название: Calculus of Several Variables
ISBN: 1461270014 ISBN-13(EAN): 9781461270010
Издательство: Springer
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Цена: 8378.00 р.
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Описание: The present course on calculus of several variables is meant as a text, either for one semester following A First Course in Calculus, or for a year if the calculus sequence is so structured. For a one-semester course, no matter what, one should cover the first four chapters, up to the law of conservation of energy, which provides a beautiful application of the chain rule in a physical context, and ties up the mathematics of this course with standard material from courses on physics. Then there are roughly two possibilities: One is to cover Chapters V and VI on maxima and minima, quadratic forms, critical points, and Taylor's formula. One can then finish with Chapter IX on double integration to round off the one-term course. The other is to go into curve integrals, double integration, and Green's theorem, that is Chapters VII, VIII, IX, and X, 1. This forms a coherent whole.

A Handbook of Real Variables

Автор: Steven G. Krantz
Название: A Handbook of Real Variables
ISBN: 146126409X ISBN-13(EAN): 9781461264095
Издательство: Springer
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Цена: 13974.00 р.
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Описание: The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along that road. In real analysis we learn the rigorous theories of sequences and series, and the profound new insights that these tools make possible. We learn of the completeness of the real number system, and how this property makes the real numbers the natural set of limit points for the rational numbers. We learn of compact sets and uniform convergence. The great classical examples, such as the Weierstrass nowhere-differentiable function and the Cantor set, are part of the bedrock of the subject. Of course complete and rigorous treatments of the derivative and the integral are essential parts of this process. The Weierstrass approximation theorem, the Riemann integral, the Cauchy property for sequences, and many other deep ideas round out the picture of a powerful set of tools.

Functional Equations And Inequalities: Solutions And Stability Results

Автор: Rassias John Michael Et Al
Название: Functional Equations And Inequalities: Solutions And Stability Results
ISBN: 9813147601 ISBN-13(EAN): 9789813147607
Издательство: World Scientific Publishing
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Цена: 15523.00 р.
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Описание: This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. remove

Functional Equations And Inequalities: Solutions And Stability Results

Автор: Rassias John Michael Et Al
Название: Functional Equations And Inequalities: Solutions And Stability Results
ISBN: 9813149973 ISBN-13(EAN): 9789813149977
Издательство: World Scientific Publishing
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Цена: 7603.00 р.
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Описание: This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability results of different types of functional equations and functional inequalities. This volume starts by taking the reader from the fundamental ideas to higher levels of results that appear in recent research papers. Its step-by-step expositions are easy for the reader to understand and admire the elegant results and findings on the stability of functional equations. remove

Oscillation Theory for Difference and Functional Differential Equations

Автор: R.P. Agarwal; Said R. Grace; Donal O`Regan
Название: Oscillation Theory for Difference and Functional Differential Equations
ISBN: 0792362896 ISBN-13(EAN): 9780792362890
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This text reviews material from more than 300 publications on the oscillation theory of difference and functional differential equations of various types.

Stability of Functional Equations in Banach Algebras

Автор: Yeol Je Cho; Choonkil Park; Themistocles M. Rassia
Название: Stability of Functional Equations in Banach Algebras
ISBN: 3319187074 ISBN-13(EAN): 9783319187075
Издательство: Springer
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Цена: 13974.00 р.
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Описание: Some of the most recent and significant results on homomorphisms and derivations in Banach algebras, quasi-Banach algebras, C*-algebras, C*-ternary algebras, non-Archimedean Banach algebras and multi-normed algebras are presented in this book.

Functional analysis, Sobolev spaces and partial differential equations

Автор: Brezis, H.
Название: Functional analysis, Sobolev spaces and partial differential equations
ISBN: 0387709134 ISBN-13(EAN): 9780387709130
Издательство: Springer
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Цена: 9077.00 р.
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Описание: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations (PDEs).


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