On the solvability of an abstract Cauchy problem |
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Authors: | A V Chaikovskii |
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Institution: | 1.Taras Shevchenko National University of Kyiv,Kyiv,Ukraine |
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Abstract: | We consider the Cauchy problem for a first-order linear inhomogeneous differential equation for functions ranging in a Banach space in the case of a sectorial operator coefficient. We find conditions for the solvability of the Cauchy problem for the case in which the right-hand side is not necessarily a Hölder function. |
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