摘要
在一个线性算子群应用于二阶线性发展方程求解的思路基础上[1],归纳其中的生成算子为n阶矩阵形式,进一步提出了该生成算子的线性算子群,在巴拿赫空间中证明了这个线性算子群的基本特征,且是高阶线性发展方程求解理论的基础部分。当然。
Based on idea of a linear operation group applied to the solution to secon order linear evolution equation,the linear operation group is developed by the generating operator of the equation popularized n order matrix and its basic characters are also proved in Banach space,which are the key to the solvability of high order linear evolution equations.The solution to low order linear evolution equations is the special case of the linear operation group.
出处
《电子科技大学学报》
EI
CAS
CSCD
北大核心
1997年第1期89-92,共4页
Journal of University of Electronic Science and Technology of China
关键词
线性算子半群
线性算子群
线性发展方程
linear operation semigroup
linear operation group
generating operator
linear evolution equation