대한수학회보 (Bulletin of the Korean Mathematical Society)
- 제27권2호
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- Pages.157-164
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- 1990
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
LINEAR ABSTRACT CAUCHY PROBLEM ASSOCIATED WITH AN EXPONENTIALLY BOUNDED C-SEMIGROUP IN A BANACH SPAC $E^*$
- Ha, Ki-Sik (Pusan National University) ;
- Kim, Jai-Heui (Pusan National University) ;
- Kim, Jong-Kyu (Kyungnam National University)
- 발행 : 1990.08.01
초록
The purpose of this paper is to consider the inhomogeneous initial value problem (Fig.) in a Banach space X, where Z is the generator of an exponentially bounded C-semigroup in X, f9t) : [0, T].rarw.X and x.mem.X. Davies-Pang [1] showed the corresponding homogeneous equation, this is, the equation with f(t).iden.0, has a unique solution depending continuoously on the initial value x.mem.CD(z) in the
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