【摘要】 针对高价发展方程的形式解,将二阶发展方程扩展为时滞分布参数系统标准型中的4n?2阶发展方程,同时构造内积形成4n?2维Hilbert空间。将4n?2阶发展方程转化为一阶发展方程组,求得4n?2阶发展方程的生成算子和在一定的条件下生成半群。构造出半群的结构式并证明其具有的基本特征。当n=1时为二阶发展方程型的Golstein算子半群。更多还原

【Abstract】 In allusion to the form solution to high order evolution equation, 4n?2 order evolution equation that is one of the best important standard type about time-delay distributed parameter system expand from two order evolution equation and construct the inner product to become 4n?2 dimension Halberd space at the same time. The generating operator of 4n?2 order evolution equation is obtained and it generates a semigroup when 4n?2 order evolution equation is changed into one order evolution equation set. The configuration form’s semigroup is constructed and it’s basic character is proved. In particular, the semigroup(n=1) intitules Golstein’s .更多还原