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Author : Themistocles M. Rassias
Release : 1994
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Stability of Mappings of Hyers-Ulam Type by : Themistocles M. Rassias
Download or read book Stability of Mappings of Hyers-Ulam Type written by Themistocles M. Rassias. This book was released on 1994. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Janusz Brzdek
Release : 2018-01-10
Genre : Mathematics
Kind : eBook
Book Rating : 309/5 ( reviews)
Book Synopsis Ulam Stability of Operators by : Janusz Brzdek
Download or read book Ulam Stability of Operators written by Janusz Brzdek. This book was released on 2018-01-10. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author : Janusz Brzdęk
Release : 2019-10-29
Genre : Mathematics
Kind : eBook
Book Rating : 729/5 ( reviews)
Book Synopsis Ulam Type Stability by : Janusz Brzdęk
Download or read book Ulam Type Stability written by Janusz Brzdęk. This book was released on 2019-10-29. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Themistocles RASSIAS
Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 412/5 ( reviews)
Book Synopsis Functional Equations and Inequalities by : Themistocles RASSIAS
Download or read book Functional Equations and Inequalities written by Themistocles RASSIAS. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an extensive study of some of the most important topics of current interest in functional equations and inequalities. Subjects dealt with include: a Pythagorean functional equation, a functional definition of trigonometric functions, the functional equation of the square root spiral, a conditional Cauchy functional equation, an iterative functional equation, the Hille-type functional equation, the polynomial-like iterative functional equation, distribution of zeros and inequalities for zeros of algebraic polynomials, a qualitative study of Lobachevsky's complex functional equation, functional inequalities in special classes of functions, replicativity and function spaces, normal distributions, some difference equations, finite sums, decompositions of functions, harmonic functions, set-valued quasiconvex functions, the problems of expressibility in some extensions of free groups, Aleksandrov problem and mappings which preserve distances, Ulam's problem, stability of some functional equation for generalized trigonometric functions, Hyers-Ulam stability of Hosszú's equation, superstability of a functional equation, and some demand functions in a duopoly market with advertising. Audience: This book will be of interest to mathematicians and graduate students whose work involves real functions, functions of a complex variable, functional analysis, integral transforms, and operational calculus.
Author : Soon-Mo Jung
Release : 2011-04-11
Genre : Mathematics
Kind : eBook
Book Rating : 370/5 ( reviews)
Book Synopsis Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis by : Soon-Mo Jung
Download or read book Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis written by Soon-Mo Jung. This book was released on 2011-04-11. Available in PDF, EPUB and Kindle. Book excerpt: 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.
