Modulus semigroups and perturbation classes for linear delay equations in Lp
نویسندگان
چکیده
In this paper we studyC0-semigroups onX×Lp(−h, 0;X) associated with linear differential equations with delay, whereX is a Banach space. In the case thatX is a Banach lattice with order continuous norm, we describe the associated modulus semigroup, under minimal assumptions on the delay operator. Moreover, we present a new class of delay operators for which the delay equation is well-posed for p in a subinterval of [1,∞). MSC 2000: 47D06, 34K06, 47B60
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