Second order evolution equations with parameter
Annales Polonici Mathematici, Tome 59 (1994) no. 1, pp. 41-52
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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.
Keywords:
evolution problem, cosine family, evolution problem with parameter
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
@article{10_4064_ap_59_1_41_52,
author = {Jan Bochenek and Teresa Winiarska},
title = {Second order evolution equations with parameter},
journal = {Annales Polonici Mathematici},
pages = {41--52},
year = {1994},
volume = {59},
number = {1},
doi = {10.4064/ap-59-1-41-52},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-59-1-41-52/}
}
TY - JOUR AU - Jan Bochenek AU - Teresa Winiarska TI - Second order evolution equations with parameter JO - Annales Polonici Mathematici PY - 1994 SP - 41 EP - 52 VL - 59 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/ap-59-1-41-52/ DO - 10.4064/ap-59-1-41-52 LA - en ID - 10_4064_ap_59_1_41_52 ER -
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