LEADER 03871nam 2200445 450 001 9910583329803321 005 20230120002722.0 010 $a0-12-809830-9 010 $a0-12-809829-5 035 $a(CKB)4100000001786945 035 $a(MiAaPQ)EBC5217415 035 $a(EXLCZ)994100000001786945 100 $a20180209h20182018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 00$aUlam stability operators /$fauthors, Janusz Brzdek [and three others] ; series editor, Themistocles M. Rassias 210 1$aLondon, England :$cAcademic Press,$d2018. 210 4$dİ2018 215 $a1 online resource (238 pages) $cillustrations 225 0 $aMathematical Analysis and its Applications 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aMachine generated contents note:$g1.$tIntroduction to Ulam stability theory --$g1.$tHistorical background --$g2.$tStability of additive mapping --$g3.$tApproximate isometries --$g4.$tOther functional equations and inequalities in several variables --$g5.$tStability of functional equations in a single variable --$g6.$tIterative stability --$g7.$tDifferential and integral equations --$g8.$tSuperstability and hyperstability --$g9.$tComposite type equations --$g10.$tNonstability --$tReferences --$g2.$tOperators in normed spaces --$g1.$tIntroduction --$g2.$tUlam stability with respect to gauges --$g3.$tClosed operators --$g4.$tSome differential operators on bounded intervals --$g5.$tStability of the linear differential operator with respect to different norms --$g6.$tSome classical operators from the approximation theory --$g6.1.$tBernstein operators --$g6.2.$tSzasz-Mirakjan operators --$g6.3.$tOther classical operators --$g6.4. 327 $tIntegral operators --$g6.5.$tBernstein-Schnabl operators --$tReferences --$g3.$tUlam stability of differential operators --$g1.$tIntroduction --$g2.$tLinear differential equation of the first order --$g3.$tLinear differential equation of a higher order with constant coefficients --$g4.$tFirst-order linear differential operator --$g5.$tHigher-order linear differential operator --$g6.$tPartial differential equations --$g7.$tLaplace operator --$tReferences --$g4.$tBest constant in Ulam stability --$g1.$tIntroduction --$g2.$tBest constant for Cauchy, Jensen, and Quadratic functional equations --$g3.$tBest constant for linear operators --$g3.1.$tStancu operators --$g3.2.$tKantorovich operators --$g3.3.$tAn extremal property of K(Bn) --$g4.$tUlam stability of operators with respect to different norms --$tReferences --$g5.$tUlam stability of operators of polynomial form --$g1.$tIntroduction --$g2.$tAuxiliary results --$g3. 327 $tA general stability theorem --$g4.$tComplementary results for the second-order equations --$g5.$tLinear difference equation with constant coefficients --$g6.$tDifference equation with a matrix coefficient --$g7.$tLinear functional equations with constant coefficients --$g8.$tLinear differential equations --$g9.$tIntegral equations --$tReferences --$g6.$tNonstability theory --$g1.$tPreliminary information --$g2.$tPossible definitions of nonstability --$g3.$tLinear difference equation of the first order --$g4.$tLinear difference equation of a higher order --$g5.$tLinear functional equation of the first order --$g6.$tLinear functional equation of a higher order --$tReferences. 606 $aFunctional equations 615 0$aFunctional equations. 676 $a515.75 700 $aBrzde?k$b Janusz$01249176 702 $aBrzde?k$b Janusz 702 $aRassias$b Themistocles M. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910583329803321 996 $aUlam stability operators$92894942 997 $aUNINA