Korean Journal of Mathematics
- Volume 9 Issue 2
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- Pages.115-121
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- 2001
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- 1976-8605(pISSN)
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- 2288-1433(eISSN)
CONVERGENCE OF EXPONENTIALLY BOUNDED C-SEMIGROUPS
- Lee, Young S. (Department of Mathematics Seoul Women's University)
- Received : 2001.07.12
- Published : 2001.09.30
Abstract
In this paper, we establish the conditions that a mild C-existence family yields a solution to the abstract Cauchy problem. And we show the relation between mild C-existence family and C-regularized semigroup if the family of linear operators is exponentially bounded and C is a bounded injective linear operator.