The Resource Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)
Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)
Resource Information
The item Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.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, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
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 Cauchy✹Jensen 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
 X, 396 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
 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 Cauchy✹Jensen 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.
 Assigning source
 Provided by Publisher
 Image bit depth
 0
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Rassias, Themistocles M.
 SpringerLink (Online service)
 Series statement
 Springer Optimization and Its Applications,
 Series volume
 96
 http://library.link/vocab/subjectName

 Mathematics
 Difference equations
 Functional equations
 Functional analysis
 Special functions
 Mathematical optimization
 Physics
 Applied mathematics
 Engineering mathematics
 Label
 Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 9781493912865
 Dimensions
 unknown
 Extent
 X, 396 pages
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781493912865
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493912865
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)900364149
 Label
 Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier.
 Color
 not applicable
 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
 9781493912865
 Dimensions
 unknown
 Extent
 X, 396 pages
 File format
 multiple file formats
 Form of item
 electronic
 Governing access note
 Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, noncommercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
 Isbn
 9781493912865
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia.
 Media type code

 c
 Other control number
 10.1007/9781493912865
 Other physical details
 1 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)900364149
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/HandbookofFunctionalEquationsStability/_x1cdxVvEXs/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/HandbookofFunctionalEquationsStability/_x1cdxVvEXs/">Handbook of Functional Equations : Stability Theory, edited by Themistocles M. Rassias, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>