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Periodic solutions to partial neutral functional differential equations in admissible spaces on a half-line - MaRDI portal

Periodic solutions to partial neutral functional differential equations in admissible spaces on a half-line (Q2244685)

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Periodic solutions to partial neutral functional differential equations in admissible spaces on a half-line
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    Periodic solutions to partial neutral functional differential equations in admissible spaces on a half-line (English)
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    12 November 2021
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    The authors study the existence, uniqueness, and stability of a periodic mild solution to a certain abstract neutral functional differential equation. They also prove the existence of local stable manifolds around such periodic solutions. As an example, the main results are applied to semi-linear delay partial neutral differential equations.
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    partial neutral functional differential equations
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    periodic solutions
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    exponential dichotomy
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    conditional stability
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    local stable manifolds
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