Second order evolution equations with parameter

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Title

Authors ¹, ¹

Institute of Mathematics, Cracow University of Technology, Warszawska 24, 31-155 Kraków, Poland

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 \in Ω \subset ℝ^{m}

. Our main tool is the theory of strongly continuous cosine families of linear operators in Banach spaces.

evolution problem, cosine family, evolution problem with parameter

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