05014nam 2200673Ia 450 991045441450332120200520144314.01-281-95142-09786611951429981-279-987-7(CKB)1000000000537992(EBL)1681530(SSID)ssj0000127267(PQKBManifestationID)11138621(PQKBTitleCode)TC0000127267(PQKBWorkID)10051051(PQKB)11703359(MiAaPQ)EBC1681530(WSP)00004754(Au-PeEL)EBL1681530(CaPaEBR)ebr10255537(CaONFJC)MIL195142(OCoLC)815754662(EXLCZ)99100000000053799220020226d2001 uy 0engur|n|---|||||txtccrComplex vector functional equations[electronic resource] /Ice Risteski, Valéry CovachevSingapore ;River Edge, NJ World Scientific Pub. Co.c20011 online resource (336 p.)Description based upon print version of record.981-02-4683-8 Includes bibliographical references (p. 319-322) and index.Preface; 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 Functions11 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 CoefficientsChapter 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 Equation29 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 EquationChapter 10 Systems of Nonlinear Functional Equations37 Systems of Quadratic Functional Equations; 38 Systems of Higher Order Functional Equations; Bibliography; IndexThe 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 withFunctional equationsVector fieldsVector valued functionsElectronic books.Functional equations.Vector fields.Vector valued functions.515.7Risteski Ice909969Covachev Valéry724497MiAaPQMiAaPQMiAaPQBOOK9910454414503321Complex vector functional equations2036537UNINA