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Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem - MaRDI portal

Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem (Q1190583)

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scientific article; zbMATH DE number 55699
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Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
scientific article; zbMATH DE number 55699

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    Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem (English)
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    26 September 1992
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    Theorem on existence and uniqueness for semilinear evolution equations in Banach spaces are given. The problem is a ``nonlocal'' one, i.e., a relation between the solution values at different time-points is given. The theory of semigroups of linear operators is the main tool used.
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    nonlocal Cauchy problem
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    existence
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    uniqueness
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    semilinear evolution equations
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    Banach spaces
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    nonlocal
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