Regularized cosine existence and uniqueness families for second order abstract Cauchy problems
Jizhou Zhang
Studia Mathematica, Tome 151 (2002), p. 131-145 / Harvested from The Polish Digital Mathematics Library
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Let Ci (i = 1,2) be two arbitrary bounded operators on a Banach space. We study (C₁,C₂)-regularized cosine existence and uniqueness families and their relationship to second order abstract Cauchy problems. We also prove some of their basic properties. In addition, Hille-Yosida type sufficient conditions are given for the exponentially bounded case.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284585 
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Jizhou Zhang. Regularized cosine existence and uniqueness families for second order abstract Cauchy problems. Studia Mathematica, Tome 151 (2002) pp. 131-145. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm152-2-3/