复向量功能方程COMPLEX VECTOR FUNCTIONAL EQUATIONS
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作者： Ice Risteski著
出 版 社： Penguin
出版时间： 2001-12-1字数：版次： 1页数： 324印刷时间： 2002/02/01开本：印次：纸张： 胶版纸I S B N ： 9789810246839包装： 精装内容简介
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.
目录
Preface
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
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 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
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
Bibliography
Index
