Perturbations of existence families for abstract Cauchy problems
نویسندگان
چکیده
منابع مشابه
Perturbations of Existence Families for Abstract Cauchy Problems
In this paper, we establish Desch-Schappacher type multiplicative and additive perturbation theorems for existence families for arbitrary order abstract Cauchy problems in a Banach space: u(n)(t) = Au(t) (t ≥ 0); u(j)(0) = xj (0 ≤ j ≤ n− 1). As a consequence, we obtain such perturbation results for regularized semigroups and regularized cosine operator functions. An example is also given to ill...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06627-3