Perturbations of bi-continuous semigroups

  title={Perturbations of bi-continuous semigroups},
  author={B{\'a}lint Farkas},
  journal={Studia Mathematica},
  • B. Farkas
  • Published 2004
  • Mathematics
  • Studia Mathematica
initial value problems (Cauchy problems) are usually studied via operator semigroups. In many cases, the well-developed theory of C0-semigroups, i.e., one-parameter operator semigroups which are strongly continuous for the norm on a Banach space X , suffices and provides a powerful machinery to study such problems. The applications range from partial differential equations, Volterra integro-differential equations and dynamic boundary problems to delay equations. It seems that a linear… 
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