Teaching linear equations in context
نویسندگان
چکیده
منابع مشابه
Linear delay equations in the Lp-context
We show well-posedness of the Cauchy problem for the delay equation u′(t) = Au(t) + Φut, with initial values in X × Lp(−h, 0; X); X a Banach space, A the generator of a C0-semigroup on X, h ∈ {1,∞}, 1 6 p < ∞. In the first result, Φ is defined by a Stieltjes integral, and p = 1. In the second result, Φ is a continuous linear mapping from W 1 p (−h, 0; X) to the Favard class of A. MSC 2000: 34K06
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ژورنال
عنوان ژورنال: Enseñanza de las Ciencias. Revista de investigación y experiencias didácticas
سال: 2009
ISSN: 2174-6486,0212-4521
DOI: 10.5565/rev/ensciencias.3748