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📒Ulam Stability Of Operators ✍ Janusz Brzdek
✏Author : Janusz Brzdek
✏Publisher : Academic Press
✏Release Date : 2018-01-10
✏Pages : 236
✏ISBN : 9780128098301
✏Available Language : English, Spanish, And French
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✏Ulam Stability of Operators Book Summary : 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. Whenever suitable, open problems are stated in corresponding areas. The book is of interest to researchers in operator theory, difference and functional equations and inequalities, differential and integral equations. Allows readers to establish expert knowledge without extensive study of other books Presents complex math in simple and clear language Compares, generalizes and complements key findings Provides numerous open problems
📒Ulam Type Stability ✍ Janusz Brzdęk
✏Author : Janusz Brzdęk
✏Publisher : Springer Nature
✏Release Date : 2019-10-29
✏Pages : 514
✏ISBN : 9783030289720
✏Available Language : English, Spanish, And French
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✏Ulam Type Stability Book Summary : This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania). It presents up-to-date insightful perspective and very resent research results on Ulam type stability of various classes of linear and nonlinear operators; in particular on the stability of many functional equations in a single and several variables (also in the lattice environments, Orlicz spaces, quasi-b-Banach spaces, and 2-Banach spaces) and some orthogonality relations (e.g., of Birkhoff–James). A variety of approaches are presented, but a particular emphasis is given to that of fixed points, with some new fixed point results and their applications provided. Besides these several other topics are considered that are somehow related to the Ulam stability such as: invariant means, geometry of Banach function modules, queueing systems, semi-inner products and parapreseminorms, subdominant eigenvalue location of a bordered diagonal matrix and optimal forward contract design for inventory. New directions and several open problems regarding stability and non-stability concepts are included. Ideal for use as a reference or in a seminar, this book is aimed toward graduate students, scientists and engineers working in functional equations, difference equations, operator theory, functional analysis, approximation theory, optimization theory, and fixed point theory who wish to be introduced to a wide spectrum of relevant theories, methods and applications leading to interdisciplinary research. It advances the possibilities for future research through an extensive bibliography and a large spectrum of techniques, methods and applications.
📒Frontiers In Functional Equations And Analytic Inequalities ✍ George A. Anastassiou
✏Author : George A. Anastassiou
✏Publisher : Springer Nature
✏Release Date : 2019-11-23
✏Pages : 753
✏ISBN : 9783030289508
✏Available Language : English, Spanish, And French
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✏Frontiers in Functional Equations and Analytic Inequalities Book Summary : This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restricted domains Hyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equations Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces Stabilities of Functional Equations via Fixed Point Technique Measure zero stability problem for the Drygas functional equation with complex involution Fourier Transforms and Ulam Stabilities of Linear Differential Equations Hyers–Ulam stability of a discrete diamond–alpha derivative equation Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation. The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.
📒Functional Equations In Mathematical Analysis ✍ Themistocles M. Rassias
✏Author : Themistocles M. Rassias
✏Publisher : Springer Science & Business Media
✏Release Date : 2011-09-18
✏Pages : 748
✏ISBN : 9781461400554
✏Available Language : English, Spanish, And French
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✏Functional Equations in Mathematical Analysis Book Summary : The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.
📒Operators Of Fractional Calculus And Their Applications ✍ Hari Mohan Srivastava (Ed.)
✏Author : Hari Mohan Srivastava (Ed.)
✏Publisher : MDPI
✏Release Date : 2019-01-16
✏Pages : 136
✏ISBN : 9783038973409
✏Available Language : English, Spanish, And French
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✏Operators of Fractional Calculus and Their Applications Book Summary : This book is a printed edition of the Special Issue "Operators of Fractional Calculus and Their Applications" that was published in Mathematics
✏Author : Yeol Je Cho
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-08-27
✏Pages : 246
✏ISBN : 9781461484776
✏Available Language : English, Spanish, And French
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✏Stability of Functional Equations in Random Normed Spaces Book Summary : 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.
✏Author : Jiu Ding
✏Publisher : Springer Science & Business Media
✏Release Date : 2010-06-28
✏Pages : 270
✏ISBN : 3540853677
✏Available Language : English, Spanish, And French
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✏Statistical Properties of Deterministic Systems Book Summary : Part of Tsinghua University Texts, "Statistical Properties of Deterministic Systems" discusses the fundamental theory and computational methods of the statistical properties of deterministic discrete dynamical systems. After introducing some basic results from ergodic theory, two problems related to the dynamical system are studied: first the existence of absolute continuous invariant measures, and then their computation. They correspond to the functional analysis and numerical analysis of the Frobenius-Perron operator associated with the dynamical system. The book can be used as a text for graduate students in applied mathematics and in computational mathematics; it can also serve as a reference book for researchers in the physical sciences, life sciences, and engineering. Dr. Jiu Ding is a professor at the Department of Mathematics of the University of Southern Mississippi; Dr. Aihui Zhou is a professor at the Academy of Mathematics and Systems Science of the Chinese Academy of Sciences.
📒Functional Equations Inequalities And Applications ✍ Themistocles RASSIAS
✏Author : Themistocles RASSIAS
✏Publisher : Springer Science & Business Media
✏Release Date : 2013-03-09
✏Pages : 224
✏ISBN : 9789401702256
✏Available Language : English, Spanish, And French
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✏Functional Equations Inequalities and Applications Book Summary : Functional Equations, Inequalities and Applications provides an extensive study of several important equations and inequalities, useful in a number of problems in mathematical analysis. Subjects dealt with include the generalized Cauchy functional equation, the Ulam stability theory in the geometry of partial differential equations, stability of a quadratic functional equation in Banach modules, functional equations and mean value theorems, isometric mappings, functional inequalities of iterative type, related to a Cauchy functional equation, the median principle for inequalities and applications, Hadamard and Dragomir-Agarwal inequalities, the Euler formulae and convex functions and approximate algebra homomorphisms. Also included are applications to some problems of pure and applied mathematics. This book will be of particular interest to mathematicians and graduate students whose work involves functional equations, inequalities and applications.
📒Iteration Theory Ecit 06 ✍ Gian Luigi Forti
✏Author : Gian Luigi Forti
✏Publisher :
✏Release Date : 2007
✏Pages : 194
✏ISBN : CORNELL:31924107197687
✏Available Language : English, Spanish, And French
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✏Iteration Theory ECIT 06 Book Summary :
📒Stability Of Mappings Of Hyers Ulam Type ✍ Themistocles M. Rassias
✏Author : Themistocles M. Rassias
✏Publisher :
✏Release Date : 1994
✏Pages : 173
✏ISBN : UOM:39015032706932
✏Available Language : English, Spanish, And French
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✏Stability of Mappings of Hyers Ulam Type Book Summary :
✏Author : Soon-Mo Jung
✏Publisher : Springer Science & Business Media
✏Release Date : 2011-04-11
✏Pages : 362
✏ISBN : 1441996370
✏Available Language : English, Spanish, And French
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✏Hyers Ulam Rassias Stability of Functional Equations in Nonlinear Analysis Book Summary : No books dealing with a comprehensive illustration of the fast developing field of nonlinear analysis had been published for the mathematicians interested in this field for more than a half century until D. H. Hyers, G. Isac and Th. M. Rassias published their book, "Stability of Functional Equations in Several Variables". This book will complement the books of Hyers, Isac and Rassias and of Czerwik (Functional Equations and Inequalities in Several Variables) by presenting mainly the results applying to the Hyers-Ulam-Rassias stability. Many mathematicians have extensively investigated the subjects on the Hyers-Ulam-Rassias stability. This book covers and offers almost all classical results on the Hyers-Ulam-Rassias stability in an integrated and self-contained fashion.
✏Author : Soon-Mo Jung
✏Publisher :
✏Release Date : 2001
✏Pages : 256
✏ISBN : UOM:39015058825186
✏Available Language : English, Spanish, And French
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✏Hyers Ulam Rassias Stability of Functional Equations in Mathematical Analysis Book Summary :
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✏Release Date : 2004
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✏ISBN : UOM:39015059052707
✏Available Language : English, Spanish, And French
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✏Journal of Nonlinear and Convex Analysis Book Summary :
📒General Inequalities 7 ✍ Catherine Bandle
✏Author : Catherine Bandle
✏Publisher : Springer Science & Business Media
✏Release Date : 1997-04
✏Pages : 404
✏ISBN : 3764357223
✏Available Language : English, Spanish, And French
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✏General Inequalities 7 Book Summary : Inequalities continue to play an essential role in mathematics. The subject is per haps the last field that is comprehended and used by mathematicians working in all the areas of the discipline of mathematics. Since the seminal work Inequalities (1934) of Hardy, Littlewood and P6lya mathematicians have laboured to extend and sharpen the earlier classical inequalities. New inequalities are discovered ev ery year, some for their intrinsic interest whilst others flow from results obtained in various branches of mathematics. So extensive are these developments that a new mathematical periodical devoted exclusively to inequalities will soon appear; this is the Journal of Inequalities and Applications, to be edited by R. P. Agar wal. Nowadays it is difficult to follow all these developments and because of lack of communication between different groups of specialists many results are often rediscovered several times. Surveys of the present state of the art are therefore in dispensable not only to mathematicians but to the scientific community at large. The study of inequalities reflects the many and various aspects of mathemat ics. There is on the one hand the systematic search for the basic principles and the study of inequalities for their own sake. On the other hand the subject is a source of ingenious ideas and methods that give rise to seemingly elementary but nevertheless serious and challenging problems. There are many applications in a wide variety of fields from mathematical physics to biology and economics.
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✏Release Date : 2008
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✏ISBN : UOM:39015072642302
✏Available Language : English, Spanish, And French
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✏Bulletin of the Korean Mathematical Society Book Summary :
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✏Publisher :
✏Release Date : 2007
✏Pages :
✏ISBN : CORNELL:31924108177886
✏Available Language : English, Spanish, And French
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✏International Journal of Applied Mathematics Statistics Book Summary :
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✏Release Date : 2006
✏Pages :
✏ISBN : CORNELL:31924099677969
✏Available Language : English, Spanish, And French
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✏Journal of the Korean Mathematical Society Book Summary :
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✏Release Date : 2005
✏Pages :
✏ISBN : UVA:X006195258
✏Available Language : English, Spanish, And French
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✏Mathematical Reviews Book Summary :
📒Handbook Of Functional Equations ✍ Themistocles M. Rassias
✏Author : Themistocles M. Rassias
✏Publisher : Springer
✏Release Date : 2014-11-21
✏Pages : 396
✏ISBN : 9781493912865
✏Available Language : English, Spanish, And French
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✏Handbook of Functional Equations Book Summary : 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.
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✏Release Date : 1992
✏Pages :
✏ISBN : UOM:39015038831213
✏Available Language : English, Spanish, And French
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✏Journal of Natural Geometry Book Summary :
📒Nonlinear Analysis ✍ Panos M. Pardalos
✏Author : Panos M. Pardalos
✏Publisher : Springer Science & Business Media
✏Release Date : 2012-06-02
✏Pages : 893
✏ISBN : 9781461434986
✏Available Language : English, Spanish, And French
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✏Nonlinear Analysis Book Summary : The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.
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✏Release Date : 2003
✏Pages :
✏ISBN : UOM:39015060905323
✏Available Language : English, Spanish, And French
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✏New Zealand Journal of Mathematics Book Summary :
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✏Release Date : 2008
✏Pages :
✏ISBN : UCSD:31822036914778
✏Available Language : English, Spanish, And French
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✏Bulletin of the Belgian Mathematical Society Simon Stevin Book Summary :
📒Approximation Theory And Applications ✍ Themistocles M. Rassias
✏Author : Themistocles M. Rassias
✏Publisher :
✏Release Date : 1999-09
✏Pages : 193
✏ISBN : UOM:39015056193074
✏Available Language : English, Spanish, And French
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✏Approximation Theory and Applications Book Summary :
📒Bolet N De La Sociedad Matem Tica Mexicana ✍ Sociedad Matemática Mexicana
✏Author : Sociedad Matemática Mexicana
✏Publisher :
✏Release Date : 2005
✏Pages :
✏ISBN : CORNELL:31924099696712
✏Available Language : English, Spanish, And French
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✏Bolet n de la Sociedad Matem tica Mexicana Book Summary :
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✏Release Date : 1999
✏Pages :
✏ISBN : UOM:39015053351014
✏Available Language : English, Spanish, And French
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✏Extracta Mathematicae Book Summary :
✏Author : D.H. Hyers
✏Publisher : Springer Science & Business Media
✏Release Date : 1998-09-01
✏Pages : 318
✏ISBN : 081764024X
✏Available Language : English, Spanish, And French
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✏Stability of Functional Equations in Several Variables Book Summary : The notion of stability of functional equations of several variables in the sense used here had its origins more than half a century ago when S. Ulam posed the fundamental problem and Donald H. Hyers gave the first significant partial solution in 1941. The subject has been revised and de veloped by an increasing number of mathematicians, particularly during the last two decades. Three survey articles have been written on the subject by D. H. Hyers (1983), D. H. Hyers and Th. M. Rassias (1992), and most recently by G. L. Forti (1995). None of these works included proofs of the results which were discussed. Furthermore, it should be mentioned that wider interest in this subject area has increased substantially over the last years, yet the pre sentation of research has been confined mainly to journal articles. The time seems ripe for a comprehensive introduction to this subject, which is the purpose of the present work. This book is the first to cover the classical results along with current research in the subject. An attempt has been made to present the material in an integrated and self-contained fashion. 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. A sad note. During the final stages of the manuscript our beloved co author and friend Professor Donald H. Hyers passed away.
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✏Release Date : 2009
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✏ISBN : UOM:39015085199480
✏Available Language : English, Spanish, And French
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✏Dynamics of Continuous Discrete Impulsive Systems Book Summary :
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✏Release Date : 2002
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✏ISBN : CORNELL:31924074897715
✏Available Language : English, Spanish, And French
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✏Scientiae Mathematicae Japonicae Book Summary :
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✏Release Date : 2001
✏Pages :
✏ISBN : UOM:39015056630703
✏Available Language : English, Spanish, And French
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✏Glasnik Matemati ki Book Summary :