LEADER 07013nam 22008655 450 001 9910299993903321 005 20200629210214.0 010 $a1-4939-1286-0 024 7 $a10.1007/978-1-4939-1286-5 035 $a(CKB)3710000000291284 035 $a(EBL)1968101 035 $a(OCoLC)900364149 035 $a(SSID)ssj0001386522 035 $a(PQKBManifestationID)11994464 035 $a(PQKBTitleCode)TC0001386522 035 $a(PQKBWorkID)11374284 035 $a(PQKB)10843891 035 $a(MiAaPQ)EBC1968101 035 $a(DE-He213)978-1-4939-1286-5 035 $a(PPN)183096878 035 $a(EXLCZ)993710000000291284 100 $a20141121d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aHandbook of Functional Equations $eStability Theory /$fedited by Themistocles M. Rassias 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2014. 215 $a1 online resource (394 p.) 225 1 $aSpringer Optimization and Its Applications,$x1931-6828 ;$v96 300 $aDescription based upon print version of record. 311 $a1-4939-1285-2 320 $aIncludes bibliographical references at the end of each chapters. 327 $aOn 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 Set-Valued Maps Satisfying Some Inclusions and the Hyers-Ulam Stability (J. Brzdek, M. Piszczek) -- Generalized Ulam-Hyers Stability Results: A Fixed Point Approach (L. Caradiu) -- On a Wake Version of Hyers-Ulam 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 Cauchy-Jensen Type Mappings in Quasi-? Normed Spaces (H.-M. Kim, K.-W. Jun, E. Son) -- An AQCQ-Functional Equation in Matrix Paranormed Spaces (J.R. Lee, C. Park, Th.M. Rassias, D.Y. Shin) -- On the GEneralized Hyers-Ulam Stability of the Pexider Equation on Restricted Domains (Y. Manar, E. Elqorachi, Th.M. Rassias) -- Hyers-Ulam 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 Multi-Banach Module (T.L. Shateri, Z. Afshari) -- D'Alembert's Functional Equation and Superstability Problem in Hypergroups (D. Zeglami, A. Roukbi, Th.M. Rassias). 330 $aThis  handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, methods and problems in approximation theory, analytic inequalities, functional analysis, computational algebra and applications.                           The notion of stability of functional equations has its origins with S. M. Ulam, who posed the fundamental problem for approximate homomorphisms in 1940 and with D. H. Hyers, Th. M. Rassias, who provided the first significant solutions for additive and linear mappings in 1941 and 1978, respectively. During the last decade the notion of stability of functional equations has evolved into a very active domain of mathematical research with several applications of interdisciplinary nature.                                                                                         The chapters of this handbook focus mainly on both old and recent developments on the equation of homomorphism for square symmetric groupoids, the linear and polynomial functional equations in a single variable, the Drygas functional equation on amenable semigroups, monomial functional equation,  the Cauchy?Jensen type mappings, differential equations and differential operators, operational equations and inclusions, generalized module left higher derivations, selections of set-valued mappings, D?Alembert?s functional equation, characterizations of information measures,  functional equations in restricted domains, as well as generalized functional stability and fixed point theory. 410 0$aSpringer Optimization and Its Applications,$x1931-6828 ;$v96 606 $aDifference equations 606 $aFunctional equations 606 $aMathematical optimization 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aSpecial functions 606 $aFunctional analysis 606 $aPhysics 606 $aDifference and Functional Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12031 606 $aOptimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26008 606 $aMathematical and Computational Engineering$3https://scigraph.springernature.com/ontologies/product-market-codes/T11006 606 $aSpecial Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M1221X 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aDifference equations. 615 0$aFunctional equations. 615 0$aMathematical optimization. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 0$aSpecial functions. 615 0$aFunctional analysis. 615 0$aPhysics. 615 14$aDifference and Functional Equations. 615 24$aOptimization. 615 24$aMathematical and Computational Engineering. 615 24$aSpecial Functions. 615 24$aFunctional Analysis. 615 24$aMathematical Methods in Physics. 676 $a515.75 702 $aRassias$b Themistocles M$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299993903321 996 $aHandbook of functional equations$91410667 997 $aUNINA