Ulam Stability of Operators

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  • Publisher : Academic Press
  • Release : 10 January 2018
  • ISBN : 9780128098301
  • Page : 236 pages
  • Rating : 4.5/5 from 103 voters

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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

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Ulam Stability of Operators

Ulam Stability of Operators
  • Author : Janusz Brzdek,Dorian Popa,Ioan Rasa,Bing Xu
  • Publisher : Academic Press
  • Release Date : 2018-01-10
  • ISBN : 9780128098301
GET THIS BOOKUlam Stability of Operators

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

Ulam Stability of Operators

Ulam Stability of Operators
  • Author : Janusz Brzdek,Dorian Popa,Ioan Rasa,Bing Xu
  • Publisher : Academic Press
  • Release Date : 2018-01-04
  • ISBN : 0128098295
GET THIS BOOKUlam Stability of Operators

6. Difference equation with a matrix coefficient -- 7. Linear functional equations with constant coefficients -- 8. Linear differential equations -- 9. Integral equations -- References -- CHAPTER 6: Nonstability theory -- 1. Preliminary information -- 2. Possible definitions of nonstability -- 3. Linear difference equation of the first order -- 4. Linear difference equation of a higher order -- 5. Linear functional equation of the first order -- 6. Linear functional equation of a higher order -- References -- Index -- Back Cover

Ulam Type Stability

Ulam Type Stability
  • Author : Janusz Brzdęk,Dorian Popa,Themistocles M. Rassias
  • Publisher : Springer Nature
  • Release Date : 2019-10-29
  • ISBN : 9783030289720
GET THIS BOOKUlam Type Stability

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.,

Frontiers in Functional Equations and Analytic Inequalities

Frontiers in Functional Equations and Analytic Inequalities
  • Author : George A. Anastassiou,John Michael Rassias
  • Publisher : Springer Nature
  • Release Date : 2019-11-23
  • ISBN : 9783030289508
GET THIS BOOKFrontiers in Functional Equations and Analytic Inequalities

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

Hyers-Ulam Stability of Ordinary Differential Equations

Hyers-Ulam Stability of Ordinary Differential Equations
  • Author : Arun Kumar Tripathy
  • Publisher : CRC Press
  • Release Date : 2021-05-24
  • ISBN : 9781000386899
GET THIS BOOKHyers-Ulam Stability of Ordinary Differential Equations

Hyers-Ulam Stability of Ordinary Differential Equations undertakes an interdisciplinary, integrative overview of a kind of stability problem unlike the existing so called stability problem for Differential equations and Difference Equations. In 1940, S. M. Ulam posed the problem: When can we assert that approximate solution of a functional equation can be approximated by a solution of the corresponding equation before the audience at the University of Wisconsin which was first answered by D. H. Hyers on Banach space in 1941. Thereafter, T.

Nonlinear Analysis, Differential Equations, and Applications

Nonlinear Analysis, Differential Equations, and Applications
  • Author : Themistocles M. Rassias
  • Publisher : Springer Nature
  • Release Date : 2021-08-20
  • ISBN : 9783030725631
GET THIS BOOKNonlinear Analysis, Differential Equations, and Applications

This contributed volume showcases research and survey papers devoted to a broad range of topics on functional equations, ordinary differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash equilibria, critical point theory, calculus of variations, nonlinear functional analysis, convex analysis, variational inequalities, topology, global differential geometry, curvature flows, perturbation theory, numerical analysis, mathematical finance and a variety of applications in interdisciplinary topics. Chapters in this volume investigate compound superquadratic functions, the Hyers–Ulam Stability of

Contributions in Mathematics and Engineering

Contributions in Mathematics and Engineering
  • Author : Panos M. Pardalos,Themistocles M. Rassias
  • Publisher : Springer
  • Release Date : 2016-10-04
  • ISBN : 9783319313177
GET THIS BOOKContributions in Mathematics and Engineering

The contributions in this volume aim to deepen understanding of some of the current research problems and theories in modern topics such as calculus of variations, optimization theory, complex analysis, real analysis, differential equations, and geometry. Applications to these areas of mathematics are presented within the broad spectrum of research in Engineering Science with particular emphasis on equilibrium problems, complexity in numerical optimization, dynamical systems, non-smooth optimization, complex network analysis, statistical models and data mining, and energy systems. Additional emphasis

Handbook of Functional Equations

Handbook of Functional Equations
  • Author : Themistocles M. Rassias
  • Publisher : Springer
  • Release Date : 2014-11-21
  • ISBN : 9781493912865
GET THIS BOOKHandbook of Functional Equations

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

Functional Equations in Mathematical Analysis

Functional Equations in Mathematical Analysis
  • Author : Themistocles M. Rassias,Janusz Brzdek
  • Publisher : Springer Science & Business Media
  • Release Date : 2011-09-18
  • ISBN : 9781461400554
GET THIS BOOKFunctional Equations in Mathematical Analysis

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

Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery

Advances in Natural Computation, Fuzzy Systems and Knowledge Discovery
  • Author : Hongying Meng,Tao Lei,Maozhen Li,Kenli Li,Ning Xiong,Lipo Wang
  • Publisher : Springer Nature
  • Release Date : 2021-06-26
  • ISBN : 9783030706654
GET THIS BOOKAdvances in Natural Computation, Fuzzy Systems and Knowledge Discovery

This book consists of papers on the recent progresses in the state of the art in natural computation, fuzzy systems and knowledge discovery. The book is useful for researchers, including professors, graduate students, as well as R & D staff in the industry, with a general interest in natural computation, fuzzy systems and knowledge discovery. The work printed in this book was presented at the 2020 16th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD 2020), held in Xi'an, China,

Stability of Functional Equations in Banach Algebras

Stability of Functional Equations in Banach Algebras
  • Author : Yeol Je Cho,Choonkil Park,Themistocles M. Rassias,Reza Saadati
  • Publisher : Springer
  • Release Date : 2015-06-26
  • ISBN : 9783319187082
GET THIS BOOKStability of Functional Equations in Banach Algebras

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

Infinite Products of Operators and Their Applications

Infinite Products of Operators and Their Applications
  • Author : Simeon Reich,Alexander J. Zaslavski
  • Publisher : American Mathematical Soc.
  • Release Date : 2015-03-30
  • ISBN : 9781470414801
GET THIS BOOKInfinite Products of Operators and Their Applications

This volume contains the proceedings of the workshop on Infinite Products of Operators and Their Applications, held from May 21-24, 2012, at the Technion-Israel Institute of Technology, Haifa, Israel. The papers cover many different topics regarding infinite products of operators and their applications: projection methods for solving feasibility and best approximation problems, arbitrarily slow convergence of sequences of linear operators, monotone operators, proximal point algorithms for finding zeros of maximal monotone operators in the presence of computational errors, the Pascoletti-Serafini problem,

Fractional-Order Equations and Inclusions

Fractional-Order Equations and Inclusions
  • Author : Michal Fečkan,JinRong Wang,Michal Pospíšil
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2017-11-07
  • ISBN : 9783110522075
GET THIS BOOKFractional-Order Equations and Inclusions

This book presents fractional difference, integral, differential, evolution equations and inclusions, and discusses existence and asymptotic behavior of their solutions. Controllability and relaxed control results are obtained. Combining rigorous deduction with abundant examples, it is of interest to nonlinear science researchers using fractional equations as a tool, and physicists, mechanics researchers and engineers studying relevant topics. Contents Fractional Difference Equations Fractional Integral Equations Fractional Differential Equations Fractional Evolution Equations: Continued Fractional Differential Inclusions

Implicit Fractional Differential and Integral Equations

Implicit Fractional Differential and Integral Equations
  • Author : Saïd Abbas,Mouffak Benchohra,John R. Graef,Johnny Henderson
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release Date : 2018-02-05
  • ISBN : 9783110553185
GET THIS BOOKImplicit Fractional Differential and Integral Equations

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals. A wide variety of topics is covered in a mathematically rigorous manner making this work a valuable source of information for graduate students and researchers working with problems in fractional calculus. Contents Preliminary Background Nonlinear Implicit Fractional Differential Equations Impulsive Nonlinear Implicit Fractional Differential Equations Boundary

Approximation and Computation in Science and Engineering

Approximation and Computation in Science and Engineering
  • Author : Nicholas J. Daras
  • Publisher : Springer Nature
  • Release Date : 2022-06-28
  • ISBN : 9783030841225
GET THIS BOOKApproximation and Computation in Science and Engineering