復(fù)向量功能方程COMPLEX VECTOR FUNCTIONAL EQUATIONS

內(nèi)容概要

The 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.

書籍目錄

PrefacePART 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　　11 Frechet's Functional Equations　　12 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 　Chapter 5  Systems of Linear Functional Equations　　21 Systems in Which Each Equation Contains All Unknown Functions　　22 Systems in Which Not All Equations Contain All Unknown FunctionsPART 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　　29 Third Modified Quadratic Functional Equation　Chapter 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　Chapter 10 Systems of Nonlinear Functional Equations BibliographyIndex

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