On Two-Parameter Regularized Semigroups and the Cauchy Problem
Suppose that 𝑋 is a Banach space and 𝐶 is an injective operator in 𝐵(𝑋), the space of all bounded linear operators on 𝑋. In this note, a two-parameter 𝐶-semigroup (regularized semigroup) of operators is introduced, and some of its properties are discussed. As an application we show that the existe...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/415847 |