ANZIAM  J.  44 (2003), 583-590
A variation-of-constants formula for a linear abstract evolution equation in Hilbert space

Hanzhong Wu
  Department of Mathematics
  Fudan University
  Shanghai 200433
  P. R. China
    hzwu@fudan.edu.cn


Abstract
A variation-of-constants formula is obtained for a linear abstract evolution equation in Hilbert space with unbounded perturbation and free term. As an application, the state of the abstract controlled system with unbounded mixed controls is explicitly given.
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