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標題: Perturbation of local C-semigroups
作者: Shaw, S.Y.
Kuo, C.C.
Li, Y.C.
關鍵字: Local C-semigroup
Abstract Cauchy problem
期刊/報告no:: Nonlinear Analysis-Theory Methods & Applications, Volume 63, Issue 5-7, Page(s) E2569-E2574.
摘要: Let C be a bounded linear injective operator and A be the generator of a local C-semigroup {S(t); 0 <= t < T} on a Banach space X. It is proved that if B is a bounded operator such that R(B) subset of R(C) and BCx = CBx for all x epsilon D(A), then A + B also generates a local C-semigroup. (C) 2004 Elsevier Ltd. All rights reserved.
ISSN: 0362-546X
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