Approximation of abstract functional differential equations with unbounded delay (Q1917713)

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scientific article; zbMATH DE number 903315
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Approximation of abstract functional differential equations with unbounded delay
scientific article; zbMATH DE number 903315

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    Approximation of abstract functional differential equations with unbounded delay (English)
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    13 January 1997
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    The abstract Cauchy problem with infinite delay \(x'(t) = Ax(t) + F(t, x_t)\), \(x_0 = \varphi\) in a Banach space is investigated and a method of approximation of its solution with the solutions of equations with bounded delay is developed. An emphasis on the existence of periodic solutions is given.
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    abstract Cauchy problem with infinity delay
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    Banach space
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    approximation
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    periodic solutions
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