The Resource Handbook of functional equations : stability theory, edited by Themistocles M. Rassias
Handbook of functional equations : stability theory, edited by Themistocles M. Rassias
Resource Information
The item Handbook of functional equations : stability theory, edited by Themistocles M. Rassias represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Handbook of functional equations : stability theory, edited by Themistocles M. Rassias represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 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 CauchyJensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of setvalued 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
 Language
 eng
 Extent
 1 online resource (376 pages).
 Contents

 On Some Functional Equations (M. Adam, S. Czerwik, K. Krol)
 Remarks on Stability of the Equation of Homomorphism for Square Symmetric Groupoids (A. Bahyrycz, J. Brzdek)
 On Stability of the Linear and Polynomial Functional Equations in Single Variable (J. Brzdek, M. Piszczek)
 Selections of SetValued Maps Satisfying Some Inclusions and the HyersUlam Stability (J. Brzdek, M. Piszczek)
 Generalized UlamHyers Stability Results: A Fixed Point Approach (L. Caradiu)
 On a Wake Version of HyersUlam Stability Theorem in Restricted Domain (J. Chung, J. Chang)
 On the Stability of Drygas Functional Equation on Amenable Semigroups (E. Elqorachi, Y. Manar, Th. M. Rassias)
 Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation (G.L. Forti)
 A Functional Equation Having Monomials and its Stability (M.E. Gorgji, H. Khodaei, Th. M. Rassias)
 Some Functional Equations Related to the Characterizations of Information Measures and their Stability (E. Gselmann, G. Maksa)
 Approximate CauchyJensen Type Mappings in QuasiÝ Normed Spaces (H.M. Kim, K.W. Jun, E. Son)
 An AQCQFunctional Equation in Matrix Paranormed Spaces (J.R. Lee, C. Park, Th. M. Rassias, D.Y. Shin)
 On the GEneralized HyersUlam Stability of the Pexider Equation on Restricted Domains (Y. Manar, E. Elqorachi, Th. M. Rassias)
 HyersUlam Stability of Some Differential Equations and Differential Operators (D. Popa, I. Rasa)
 Results and Problems in Ulam Stability of Operational Equations and Inclusions (I.A. Rus)
 Superstability of Generalized Module Left Higher Derivations on a MultiBanach Module (T.L. Shateri, Z. Afshari)
 D'Alembert's Functional Equation and Superstability Problem in Hypergroups (D. Zeglami, A. Roukbi, Th. M. Rassias)
 Isbn
 9781493912865
 Label
 Handbook of functional equations : stability theory
 Title
 Handbook of functional equations
 Title remainder
 stability theory
 Statement of responsibility
 edited by Themistocles M. Rassias
 Subject

 Appl. Mathematics/Computational Methods of Engineering
 Difference and Functional Equations
 Difference equations
 Difference equations
 Difference equations
 Functional Analysis
 Functional equations
 Functional equations
 Functional equations
 Integral equations
 Integral equations
 Integral equations
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematical Methods in Physics
 Mathematics
 Optimization
 Special Functions
 Language
 eng
 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 CauchyJensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of setvalued 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
 Cataloging source
 N$T
 Dewey number
 515.8
 Index
 no index present
 LC call number
 QA431
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorDate
 1951
 http://library.link/vocab/relatedWorkOrContributorName
 Rassias, Themistocles M.
 Series statement
 Springer optimization and its applications
 Series volume
 volume 96
 http://library.link/vocab/subjectName

 Functional equations
 Difference equations
 Integral equations
 Mathematics
 Difference and Functional Equations
 Optimization
 Appl. Mathematics/Computational Methods of Engineering
 Special Functions
 Functional Analysis
 Mathematical Methods in Physics
 MATHEMATICS
 MATHEMATICS
 Difference equations
 Functional equations
 Integral equations
 Label
 Handbook of functional equations : stability theory, edited by Themistocles M. Rassias
 Antecedent source
 unknown
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 On Some Functional Equations (M. Adam, S. Czerwik, K. Krol)  Remarks on Stability of the Equation of Homomorphism for Square Symmetric Groupoids (A. Bahyrycz, J. Brzdek)  On Stability of the Linear and Polynomial Functional Equations in Single Variable (J. Brzdek, M. Piszczek)  Selections of SetValued Maps Satisfying Some Inclusions and the HyersUlam Stability (J. Brzdek, M. Piszczek)  Generalized UlamHyers Stability Results: A Fixed Point Approach (L. Caradiu)  On a Wake Version of HyersUlam Stability Theorem in Restricted Domain (J. Chung, J. Chang)  On the Stability of Drygas Functional Equation on Amenable Semigroups (E. Elqorachi, Y. Manar, Th. M. Rassias)  Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation (G.L. Forti)  A Functional Equation Having Monomials and its Stability (M.E. Gorgji, H. Khodaei, Th. M. Rassias)  Some Functional Equations Related to the Characterizations of Information Measures and their Stability (E. Gselmann, G. Maksa)  Approximate CauchyJensen Type Mappings in QuasiÝ Normed Spaces (H.M. Kim, K.W. Jun, E. Son)  An AQCQFunctional Equation in Matrix Paranormed Spaces (J.R. Lee, C. Park, Th. M. Rassias, D.Y. Shin)  On the GEneralized HyersUlam Stability of the Pexider Equation on Restricted Domains (Y. Manar, E. Elqorachi, Th. M. Rassias)  HyersUlam Stability of Some Differential Equations and Differential Operators (D. Popa, I. Rasa)  Results and Problems in Ulam Stability of Operational Equations and Inclusions (I.A. Rus)  Superstability of Generalized Module Left Higher Derivations on a MultiBanach Module (T.L. Shateri, Z. Afshari)  D'Alembert's Functional Equation and Superstability Problem in Hypergroups (D. Zeglami, A. Roukbi, Th. M. Rassias)
 Control code
 896826602
 Dimensions
 unknown
 Extent
 1 online resource (376 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781493912865
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)896826602
 Label
 Handbook of functional equations : stability theory, edited by Themistocles M. Rassias
 Antecedent source
 unknown
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 On Some Functional Equations (M. Adam, S. Czerwik, K. Krol)  Remarks on Stability of the Equation of Homomorphism for Square Symmetric Groupoids (A. Bahyrycz, J. Brzdek)  On Stability of the Linear and Polynomial Functional Equations in Single Variable (J. Brzdek, M. Piszczek)  Selections of SetValued Maps Satisfying Some Inclusions and the HyersUlam Stability (J. Brzdek, M. Piszczek)  Generalized UlamHyers Stability Results: A Fixed Point Approach (L. Caradiu)  On a Wake Version of HyersUlam Stability Theorem in Restricted Domain (J. Chung, J. Chang)  On the Stability of Drygas Functional Equation on Amenable Semigroups (E. Elqorachi, Y. Manar, Th. M. Rassias)  Stability of Quadratic and Drygas Functional Equations, with an Application for Solving an Alternative Quadratic Equation (G.L. Forti)  A Functional Equation Having Monomials and its Stability (M.E. Gorgji, H. Khodaei, Th. M. Rassias)  Some Functional Equations Related to the Characterizations of Information Measures and their Stability (E. Gselmann, G. Maksa)  Approximate CauchyJensen Type Mappings in QuasiÝ Normed Spaces (H.M. Kim, K.W. Jun, E. Son)  An AQCQFunctional Equation in Matrix Paranormed Spaces (J.R. Lee, C. Park, Th. M. Rassias, D.Y. Shin)  On the GEneralized HyersUlam Stability of the Pexider Equation on Restricted Domains (Y. Manar, E. Elqorachi, Th. M. Rassias)  HyersUlam Stability of Some Differential Equations and Differential Operators (D. Popa, I. Rasa)  Results and Problems in Ulam Stability of Operational Equations and Inclusions (I.A. Rus)  Superstability of Generalized Module Left Higher Derivations on a MultiBanach Module (T.L. Shateri, Z. Afshari)  D'Alembert's Functional Equation and Superstability Problem in Hypergroups (D. Zeglami, A. Roukbi, Th. M. Rassias)
 Control code
 896826602
 Dimensions
 unknown
 Extent
 1 online resource (376 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781493912865
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)896826602
Subject
 Appl. Mathematics/Computational Methods of Engineering
 Difference and Functional Equations
 Difference equations
 Difference equations
 Difference equations
 Functional Analysis
 Functional equations
 Functional equations
 Functional equations
 Integral equations
 Integral equations
 Integral equations
 MATHEMATICS  Calculus
 MATHEMATICS  Mathematical Analysis
 Mathematical Methods in Physics
 Mathematics
 Optimization
 Special Functions
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