LEADER 04981nam 2200661Ia 450 001 9910782396603321 005 20230607222129.0 010 $a1-281-95142-0 010 $a9786611951429 010 $a981-279-987-7 035 $a(CKB)1000000000537992 035 $a(EBL)1681530 035 $a(SSID)ssj0000127267 035 $a(PQKBManifestationID)11138621 035 $a(PQKBTitleCode)TC0000127267 035 $a(PQKBWorkID)10051051 035 $a(PQKB)11703359 035 $a(MiAaPQ)EBC1681530 035 $a(WSP)00004754 035 $a(Au-PeEL)EBL1681530 035 $a(CaPaEBR)ebr10255537 035 $a(CaONFJC)MIL195142 035 $a(OCoLC)815754662 035 $a(EXLCZ)991000000000537992 100 $a20020226d2001 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aComplex vector functional equations$b[electronic resource] /$fIce Risteski, Vale?ry Covachev 210 $aSingapore ;$aRiver Edge, NJ $cWorld Scientific Pub. Co.$dc2001 215 $a1 online resource (336 p.) 300 $aDescription based upon print version of record. 311 $a981-02-4683-8 320 $aIncludes bibliographical references (p. 319-322) and index. 327 $aPreface; Contents; PART 1 Linear Complex Vector Functional Equations; Chapter 1 General Classes of Cyclic Functional Equations; 1 Basic Cyclic Functional Equation; 2 Derived Cyclic Functional Equation; 3 Paracyclic Functional Equation; 4 Semicyclic Functional Equation; 5 Special Cyclic Functional Equation; 6 Condensed Cyclic Functional Equation; Chapter 2 Functional Equations with Operations between Arguments; 7 Operator Functional Equation; 8 Generalized Functional Equation; 9 Simple Functional Equations; 10 Functional Equations with Several Unknown Functions 327 $a11 Frechet's Functional Equations12 Functional Equations with Two Operations; Chapter 3 Functional Equations with Constant Parameters; 13 General Parametric Functional Equation; 14 Special Parametric Functional Equation; 15 Expanded Parametric Functional Equation; 16 General Expanded Parametric Functional Equation; Chapter 4 Functional Equations with Constant Coefficients; 17 Matrix Equations; 18 Homogeneous Functional Equations with Constant Coefficients; 19 Nonhomogeneous Functional Equations with Constant Coefficients; 20 Paracyclic Functional Equations with Constant Coefficients 327 $aChapter 5 Systems of Linear Functional Equations21 Systems in Which Each Equation Contains All Unknown Functions; 22 Systems in Which Not All Equations Contain All Unknown Functions; PART 2 Nonlinear Complex Vector Functional Equations; Chapter 6 Quadratic Functional Equations; 23 Simple Quadratic Functional Equation; 24 Special Quadratic Functional Equation; Chapter 7 Modified Quadratic Functional Equations; 25 Basic Quadratic Functional Equation; 26 Permuted Quadratic Functional Equation; 27 First Modified Quadratic Functional Equation; 28 Second Modified Quadratic Functional Equation 327 $a29 Third Modified Quadratic Functional EquationChapter 8 Expanded Quadratic Functional Equations; 30 Expanded Quadratic Functional Equations with Functional Arguments; 31 Expanded Quadratic Functional Equations with the Same Signs between the Functions; 32 Expanded Quadratic Functional Equation with Alternating Signs between the Functions; 33 Generalized Quadratic Functional Equation; Chapter 9 Higher Order Functional Equations; 34 Higher Order Functional Equation without Parameters; 35 Higher Order Functional Equation with Complex Parameters; 36 Nonlinear Operator Functional Equation 327 $aChapter 10 Systems of Nonlinear Functional Equations37 Systems of Quadratic Functional Equations; 38 Systems of Higher Order Functional Equations; Bibliography; Index 330 $aThe subject of complex vector functional equations is a new area in the theory of functional equations. This monograph provides a systematic overview of the authors' recently obtained results concerning both linear and nonlinear complex vector functional equations, in all aspects of their utilization. It is intended for mathematicians, physicists and engineers who use functional equations in their investigations. Contents: Linear Complex Vector Functional Equations: General Classes of Cyclic Functional Equations; Functional Equations with Operations Between Arguments; Functional Equations with 606 $aFunctional equations 606 $aVector fields 606 $aVector valued functions 615 0$aFunctional equations. 615 0$aVector fields. 615 0$aVector valued functions. 676 $a515.7 700 $aRisteski$b Ice$01508225 701 $aCovachev$b Vale?ry$0724497 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910782396603321 996 $aComplex vector functional equations$93739505 997 $aUNINA