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# đź“™ Handbook of Functional Equations: Stability Theory by Themistocles M. Rassias (eds.) â€” epub download

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This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, methods and problems in approximation theory, analytic inequalities, functional analysis, computational algebra and applications.

The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers, Th. M. Rassias, who provided the first significant solutions for additive and linear mappings in 1941 and 1978, respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature.

The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids, the linear and polynomial functional equations in a single variable, the Drygas functional equation on amenable semigroups, monomial functional equation, the Cauchyâ€“Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, Dâ€™Alembertâ€™s functional equation, characterizations of information measures, functional equations in restricted domains, as well as generalized functional stability and fixed point theory.

- Series:
**Springer Optimization and Its Applications 96** - Author:
**Themistocles M. Rassias (eds.)** - Year:
**2014** - Publisher:
**Springer-Verlag New York** - Language:
**English** - ISBN:
**978-1-4939-1285-8,978-1-4939-1286-5**

- File size:
**3 131 436** - Format:
**pdf**

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This textbook at the advanced undergraduate/graduate level will complement the books of D.H. Hyers, G. Isac, and Th.M. Rassias (Â© Birkhauser 1998) and of S. Czerwik (2002) by integrating and presenting the primary developments applying to almost all the c...

As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), â€śThere are three reasons for the study of inequalities: practical, theoretical, and aesthetic.â€ť On the aesthetic aspects, he sai...

The subject of complex vector functional equations is a new area in the theory of functional equations. This monograph provides a systematic overview of the authors' recently obtained results concerning both linear and nonlinear complex vector functional ...

J. AczĂ©l: Some applications of functional equations and inequalities to information measures.- J.A. Baker: Functional equations in vector space, part II.- I Fenyo: Sur les Ă©quations distributionnelles.- B. Forte: Applications of functional equations and i...

The subject of complex vector functional equations is a new area in the theory of functional equations. This monograph provides a systematic overview of the authors' recently obtained results concerning both linear and nonlinear complex vector functional ...

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...

This book deals with fundamental problems, concepts, and methods of multiparameter stability theory with applications in mechanics. It presents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, gen...

The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved. A general methodology for solving functional equations is provided in Chapter 2. The different typ...

Handbook of Computational Group Theory by Derek F. Holt (Discrete Mathematics and Its Applications: Chapman & Hall/CRC) is about computational group theory, which we shall frequently abbreviate to CGT. The origins of this lively and active branch of mathe...

"This volume looks at such critical aspects of the assignment process as the selection process, the training required, factors that affect adjustment, performance, and commitment, and how to retain and capitalize on the international experience once emplo...

This handbook is aquick reference to International Accounting Standards and is designed for all those who interact with financial information, and need an accelerated route to understanding the key principles of international accounting rules. It is esse...

Prepare for your internal medicine clinical rounds and the end-of-rotation exam with the fully revised and updated Internal Medicine Essentials for Clerkship Students 2! This new edition is organized around the major training areas included in the nationa...

Focusing on phenomena important in implementing the performance of a broad range of fluid devices, this work describes the behavior of internal flows encountered in propulsion systems, fluid machinery (compressors, turbines, and pumps) and ducts (diffuser...

A wide range of projects are described in the latest Biennial Report of the International Agency for Research on Cancer (IARC), the cancer research branch of the World Health Organization. Most of these projects involve collaborations with scientists in i...

This text, by a leading authority in the field, presents a fundamental and factual development of the science and engineering underlying the design of combustion engines and turbines. An extensive illustration program supports the concepts and theories di...

Water professionals know much about the problems caused by internal pipe corrosion: water quality degradation, customer complaints, reduced pipe capacity, and home plumbing failures. Surprisingly, however, there is little practical guidance available to p...