Abstract
This paper is devoted to the study of the inhomogeneous abstract Cauchy problem for time-dependent linear evolution equation u′(t) = A(t)u(t) + f(t) for t ∈ [0, T], under the strong measurability of A and a new type of quasi-stability condition from the viewpoint of the theory of finite difference approximations. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
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