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.
出处
《计算数学》
CSCD
北大核心
2003年第2期185-192,共8页
Mathematica Numerica Sinica
