一类非线性算子方程的求解方法  

THE METHODS SOLVING A CLASS NONLINEAR OPERATOR EQUATIONS

作　　者：李春利[1] 崔明根[1] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《计算数学》2003年第2期185-192,共8页Mathematica Numerica Sinica

摘　　要：The necessary and sufficient condition for the existence and the uniqueness ofsolution of the continuous linear operator equation is given. We give also minimalnorm solution(or generalized) of the equation. Further, we construct a reproducingkernel space W21(Ω)and give the reproducing kerne of the space W21(Ω). In thespace W21(Ω), we study the problem of solving a class nonlinear operator equation.Some examples are also given illustrate of this theory.The necessary and sufficient condition for the existence and the uniqueness of solution of the continuous linear operator equation is given. We give also minimal norm solution(or generalized) of the equation. Further, we construct a reproducing kernel space W21(Ω)and give the reproducing kerne of the space W21(Ω). In the space W21(Ω), we study the problem of solving a class nonlinear operator equation. Some examples are also given illustrate of this theory.

关 键 词：非线性算子方程 解法 再生核空间 最小范数解 投影算子 

分 类 号：O241.7[理学—计算数学]