The modulus semigroup for linear delay equations III

نویسندگان

  • Martin Stein
  • Hendrik Vogt
  • Jürgen Voigt
چکیده

In this paper we describe the modulus semigroup of the C0-semigroup associated with the linear differential equation with delay { u1ptq Auptq Lut (t ¥ 0), up0q x∈X, u0 f ∈Lpp h, 0;Xq, in the Banach lattice X Lpp h, 0;Xq, where X is a Banach lattice with order continuous norm. The progress with respect to previous papers is that A may be an unbounded generator of a C0-semigroup possessing a modulus semigroup. MSC 2000: 47D06, 47B60

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تاریخ انتشار 2003