Abstract
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) = x j (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 illustrate possible applications.
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