Let B be a Banach space. The definitions on the strong convergence, continuation, derivative and integral (namely Bochner integral) are the same as Ref. [1]. Definition 1. Let {T_(s,t)0<s<t<∞} be a semigroup...Let B be a Banach space. The definitions on the strong convergence, continuation, derivative and integral (namely Bochner integral) are the same as Ref. [1]. Definition 1. Let {T_(s,t)0<s<t<∞} be a semigroup for two parameters on B(See[2]). If T_(s,s+t+τ)=T_(s,s+t)·T_(s,s+τ),(0<s,t,τ<∞), then{T_(s,t),0<s<t<∞} is said to be a hypo-homogeneous semigroup for two parameters.展开更多
文摘Let B be a Banach space. The definitions on the strong convergence, continuation, derivative and integral (namely Bochner integral) are the same as Ref. [1]. Definition 1. Let {T_(s,t)0<s<t<∞} be a semigroup for two parameters on B(See[2]). If T_(s,s+t+τ)=T_(s,s+t)·T_(s,s+τ),(0<s,t,τ<∞), then{T_(s,t),0<s<t<∞} is said to be a hypo-homogeneous semigroup for two parameters.
