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Inhomogeneous two-parameter abstract Cauchy problem - MaRDI portal

Inhomogeneous two-parameter abstract Cauchy problem (Q874812)

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scientific article; zbMATH DE number 5141300
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Inhomogeneous two-parameter abstract Cauchy problem
scientific article; zbMATH DE number 5141300

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    Inhomogeneous two-parameter abstract Cauchy problem (English)
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    10 April 2007
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    The authors consider an inhomogeneous two-parameter abstract Cauchy problem on a Banach space \(X\) and study the existence and uniqueness of its solution. The uniqueness condition is deduced for the case when the main operators \((H_1, H_2)\) which generate the Cauchy problem represents the generator of a \(C_0\)-two parameter semigroup.
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    \(N\)-parameter semigroup
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    abstract Cauchy problem
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