A Uniqueness Theorem of a System of Nonlinear Equations and Its Applications

作     者：Rong LIU 

作者机构：College of Computer and Information Science Fujian Agriculture and Forestry University College of Mathematics and Computer Science Hunan Normal University 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2015年第31卷第1期

页      面：111-120页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Supported by the National Natural Science Foundation of China(No.11171100,10871065 and 11071064) by the Research Project of Fujian Agriculture and Forestry University(No.KXML2028A) 

主　　题：uniqueness theorems power orthogonal polynomials Gaussian quadrature formula extendedChebyshev system Gaussian Birkhoff quadrature formula 

摘      要：A uniqueness theorem of a solution of a system of nonlinear equations is given. Using this result uniqueness theorems for power orthogonal polynomials, for a Gaussian quadrature formula of an extended Chebyshev system, and for a Gaussian Birkhoff quadrature formula are easily deduced.