Second order evolution equations with parameter
Tom 59 / 1994
Annales Polonici Mathematici 59 (1994), 41-52 DOI: 10.4064/ap-59-1-41-52
We give some theorems on continuity and differentiability with respect to (h,t) of the solution of a second order evolution problem with parameter $h ∈ Ω ⊂ ℝ^m$. Our main tool is the theory of strongly continuous cosine families of linear operators in Banach spaces.