WorldCat Identities

Rassias, Themistocles M. 1951-

Overview
Works: 70 works in 442 publications in 2 languages and 8,551 library holdings
Genres: History 
Roles: Editor, Author, Other, ed, Creator, Contributor
Classifications: QA641, 516.36
Publication Timeline
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Most widely held works about Themistocles M Rassias
 
Most widely held works by Themistocles M Rassias
Differential geometry, calculus of variations, and their applications by George M Rassias( Book )

9 editions published in 1985 in English and held by 277 WorldCat member libraries worldwide

Finite sums decompositions in mathematical analysis by Themistocles M Rassias( Book )

14 editions published between 1992 and 1995 in English and held by 235 WorldCat member libraries worldwide

Nonlinear analysis by Themistocles M Rassias( Book )

8 editions published between 1986 and 1987 in English and held by 222 WorldCat member libraries worldwide

Theorem 2.2Proof; Theorem 2.3; Proof; 3. Smoothing Operators Combined with Elliptic Reqularizationand the Degree of Elliptic Regularization; Definition 3.1; Lemma 3.1; Proof; Lemma 3.2; Proof; Lemma 3.3; Proof; Theorem 3.1; Proof; Theorem 3.2; Proof; Remark 3.1; Remark 3.2; 4. Elliptic Regularization; Lemma 4 .1; Proof; Theorem 4.1; Proof; 5. Periodic Solutions of Nonlinear Hyperbolic Partial Differential Equations; REFERENCES; ON GENERALIZED POWER SERIES AND GENERALIZED OPERATIONAL CALCULUSAND ITS APPLICATION; 1. Introduction; Definition 1.1; Theorem 1.1; Theorem 1.2; Theorem 1.3
Selected studies, physics-astrophysics, mathematics, history of science : a volume dedicated to the memory of Albert Einstein( Book )

13 editions published in 1982 in English and German and held by 203 WorldCat member libraries worldwide

Stability of functional equations in several variables by Donald H Hyers( Book )

13 editions published in 1998 in English and German and held by 177 WorldCat member libraries worldwide

The notion of stability of functional equations has been an area of revision and development for the past 20 years, having its origins more than half a century ago when S. Ulam posed the fundamental problem and D.H. Hyers gave the first significant partial solution. This volume is unique in that (to date) none exists as a comprehensive examination to the subject. The authors present both classical results and their original research in an integrated and self-contained fashion. Apart from the main topic of the stability of certain functional equations, related problems are discussed. These include the stability of the convex functional inequality and the stability of minimum points. The techniques used require some basic knowledge of functional analysis, algebra, and topology. The text could be used in graduate seminars or by researchers in the field
Topics in polynomials : extremal problems, inequalities, zeros by G. V Milovanović( Book )

14 editions published between 1991 and 1999 in English and Undetermined and held by 164 WorldCat member libraries worldwide

Survey on classical inequalities by Themistocles M Rassias( Book )

11 editions published in 2000 in English and held by 156 WorldCat member libraries worldwide

"This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, approximation theory, numerical analysis and other subjects of mathematical analysis."--Jacket
Functional equations in mathematical analysis by Themistocles M Rassias( Book )

9 editions published in 2012 in English and held by 37 WorldCat member libraries worldwide

Functional Equations in Mathematical Analysis, dedicated to S.M. Ulam in honor of his 100th birthday, focuses on various important areas of research in mathematical analysis and related subjects, providing an insight into the study of numerous nonlinear problems. Among other topics, it supplies the most recent results on the solutions to the Ulam stability problem. ¡ The original stability problem was posed by S.M. Ulam in 1940 and concerned approximate homomorphisms. The pursuit of solutions to this problem, but also to its generalizations and/or modifications for various classes of equations and inequalities, is an expanding area of research, and has led to the development of what is now called the Hyers{u2013}Ulam stability theory. ¡ Comprised of contributions from eminent scientists and experts from the international mathematical community, the volume presents several important types of functional equations and inequalities and their applications in mathematical analysis, geometry, physics, and applied mathematics. It is intended for researchers and students in mathematics, physics, and other computational and applied sciences
Approximation and computation : in honor of Gradimir V. Milovanović by Walter Gautschi( Book )

11 editions published in 2011 in English and held by 30 WorldCat member libraries worldwide

Approximation theory and numerical analysis are central to the creation of accurate computer simulations and mathematical models. Research in these areas can influence the computational techniques used in a variety of mathematical and computational sciences. This collection of contributed chapters, dedicated to the renowned mathematician Gradimir V. Milovanović, represent the recent work of experts in the fields of approximation theory and numerical analysis. These invited contributions describe new trends in these important areas of research including theoretic developments, new computational algorithms, and multidisciplinary applications. Special features of this volume: - Presents results and approximation methods in various computational settings including polynomial and orthogonal systems, analytic functions, and differential equations. - Provides a historical overview of approximation theory and many of its subdisciplines. - Contains new results from diverse areas of research spanning mathematics, engineering, and the computational sciences. "Approximation and Computation" is intended for mathematicians and researchers focusing on approximation theory and numerical analysis, but can also be a valuable resource to students and researchers in engineering and other computational and applied sciences
Handbook of functional equations : stability theory. by Themistocles M Rassias( Book )

13 editions published in 2014 in English and held by 30 WorldCat member libraries worldwide

"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 Cauchy-Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, D'Alembert's functional equation, characterizations of information measures, functional equations in restricted domains, as well as generalized functional stability and fixed point theory."--Page 4 of cover
Handbook of functional equations : functional inequalities by Themistocles M Rassias( Book )

11 editions published in 2014 in English and held by 29 WorldCat member libraries worldwide

3 The Lagrange Dual Problem. The Deficit and Surplus Variables4 Analysis of Financial Contagion; 5 The ``Shadow Financial Market''; References; Comparisons of Means and Related Functional Inequalities; 1 Preliminaries; 2 Inequalities Between Means; 3 Functional Inequalities; 4 A General Functional Inequality; References; Constructions and Extensions of Free and Controlled Additive Relations; 1 Introduction; 2 A Few Basic Facts on Relations and Groupoids; 3 Divisible and Cancellable Subsets of Groupoids; 4 The Most Important Additivity and Homogeneity Properties of Relations
Essays in mathematics and its applications : in honor of Stephen Smale's 80th birthday by P. M Pardalos( Book )

10 editions published in 2012 in English and held by 29 WorldCat member libraries worldwide

{U200B}The volume is dedicated to Stephen Smale on the occasion of his 80th birthday. Besides his startling 1960 result of the proof of the Poincaré conjecture for all dimensions greater than or equal to five, Smale{u2019}s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century and beyond. Stephen Smale has done pioneering work in differential topology, global analysis, dynamical systems, nonlinear functional analysis, numerical analysis, theory of computation and machine learning as well as applications in the physical and biological sciences and economics. In sum, Stephen Smale has manifestly broken the barriers among the different fields of mathematics and dispelled some remaining prejudices. He is indeed a universal mathematician. Smale has been honored with several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolf Prize (2006/2007)
Mathematics without boundaries : surveys in interdisciplinary research by P. M Pardalos( Book )

11 editions published in 2014 in English and held by 25 WorldCat member libraries worldwide

This volume consists of chapters written by eminent scientists and engineers from the international community and presents significant advances in several theories, and applications of an interdisciplinary research. These contributions focus on both old and recent developments of Global Optimization Theory, Convex Analysis, Calculus of Variations, and Discrete Mathematics and Geometry, as well as several applications to a large variety of concrete problems, including{OCLCbr#A0} applications of computers{OCLCbr#A0} to the study of smoothness and analyticity of functions, applications to epidemiological diffusion, networks, mathematical models of elastic and piezoelectric fields, optimal algorithms, stability of neutral type vector functional differential equations, sampling and rational interpolation for non-band-limited signals, recurrent neural network for convex optimization problems, and experimental design.{OCLCbr#A0} The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical and Engineering subjects and especially to graduate students who search for the latest information
Stability of functional equations in random normed spaces by Yeol Je Cho( Book )

11 editions published in 2013 in English and held by 24 WorldCat member libraries worldwide

This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research. The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research. -- [Source inconnue]
Nonlinear analysis and variational problems : in honor of George Isac by P. M Pardalos( Book )

9 editions published in 2010 in English and held by 24 WorldCat member libraries worldwide

"The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization."--Back cover
Mathematics without boundaries : surveys in pure mathematics by Themistocles M Rassias( Book )

10 editions published in 2014 in English and held by 21 WorldCat member libraries worldwide

The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications. The chapters focus on both old and recent developments in Functional Analysis, Harmonic Analysis, Complex Analysis, Operator Theory, Combinatorics, Functional Equations, Differential Equations as well as a variety of Applications. The book also contains some review works, which could prove particularly useful for a broader audience of readers in Mathematical Sciences, and especially to graduate students looking for the latest information
Topics in mathematical analysis and applications by Themistocles M Rassias( Book )

10 editions published in 2014 in English and held by 18 WorldCat member libraries worldwide

This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community
Optimization in science and engineering : in honor of the 60th birthday of Panos M. Pardalos by Themistocles M Rassias( Book )

10 editions published in 2014 in English and held by 16 WorldCat member libraries worldwide

Optimization in Science and Engineering is dedicated in honor of the 60th birthday of Distinguished Professor Panos M. Pardalos. Pardalos's past and ongoing work has made a significant impact on several theoretical and applied areas in modern optimization. As tribute to the diversity of Dr. Pardalos's work in Optimization, this book comprises a collection of contributions from experts in various fields of this rich and diverse area of science. Topics highlight recent developments and include:Deterministic global optimizationVariational inequalities and equilibrium problemsApproximation and comp
Stability of functional equations in Banach algebras by Yeol Je Cho( Book )

6 editions published in 2015 in English and held by 12 WorldCat member libraries worldwide

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. A brief introduction for functional equations and their stability is provided with historical remarks. Since the homomorphisms and derivations in Banach algebras are additive and R-linear or C-linear, the stability problems for additive functional equations and additive mappings are studied in detail. The latest results are discussed and examined in stability theory for new functional equations and functional inequalities in Banach algebras and C*-algebras, non-Archimedean Banach algebras, non-Archimedean C*-algebras, multi-Banach algebras and multi-C*-algebras. Graduate students with an understanding of operator theory, functional analysis, functional equations and analytic inequalities will find this book useful for furthering their understanding and discovering the latest results in mathematical analysis. Moreover, research mathematicians, physicists and engineers will benefit from the variety of old and new results, as well as theories and methods presented in this book
Nonlinear analysis : stability, approximation, and inequalities by Panos M Pardalos( Book )

2 editions published in 2012 in Undetermined and English and held by 6 WorldCat member libraries worldwide

Nonlinear Analysis: Stability, Approximation, and Inequalities presents some of the most recent results in the field of nonlinear analysis. Dedicated to Themistocles M. Rassias on the occasion of his 60th birthday, this volume contains 44 articles on various developments in the field, pertaining to subjects such as the stability of functional equations, variational systems, geometric analysis, analytic inequalities, approximation theory and optimization, as well as their applications. Many of the chapters are related to the seminal contributions of Th. M. Rassias and are based upon his initial findings. This book is well suited to researchers working in nonlinear analysis and approximation theory, differential equations, variational analysis, optimization and their applications, and also to mathematically oriented engineers. It can be used as a valuable source of supplementary material for graduate research and course work
 
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Stability of functional equations in several variables
Alternative Names
Rassias, Th. M.

Rassias, Th. M. 1951-

Rassias, Th. M. (Themistocles M.), 1951-

Rassias, Themistocles Michael 1951-

Rassias, Themistoklēs M. 1951-

Themistocles M. Rassias Greek mathematician

Themistocles M. Rassias wiskundige uit Griekenland

Languages
English (211)

German (2)

Covers
Survey on classical inequalitiesFunctional equations in mathematical analysisApproximation and computation : in honor of Gradimir V. MilovanovićNonlinear analysis and variational problems : in honor of George Isac