Second order evolution equations with parameter
Annales Polonici Mathematici, Tome 59 (1994) no. 1, pp. 41-52.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-59-1-41-52
Keywords: evolution problem, cosine family, evolution problem with parameter

Jan Bochenek 1 ; Teresa Winiarska 1

1
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Jan Bochenek; Teresa Winiarska. Second order evolution equations with parameter. Annales Polonici Mathematici, Tome 59 (1994) no. 1, pp. 41-52. doi : 10.4064/ap-59-1-41-52. http://geodesic.mathdoc.fr/articles/10.4064/ap-59-1-41-52/

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