C-半群和对抽象Cauchy问题的应用
C-Semigroups and its Applications to Abstract Cauchy Problems
-
摘要: 本文研究了C-半群的无穷小生成元定义中强弱极限的等价性及生成元的有关性质,讨论了C-半群在齐次与非齐次Cauchy问题中的应用.Abstract: This paper studies the equivalence of strong and weak limits in definition of the infinitesimal generator of C-semigroups and the related properties of the generator,and discusses the applications of C-semigroups to homogeneous and inhomogeneous abstract Cauchy problems.