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Measure pseudo-almost periodic solutions in the \(\alpha\)-norm to some neutral partial differential equations with delay - MaRDI portal

Measure pseudo-almost periodic solutions in the \(\alpha\)-norm to some neutral partial differential equations with delay (Q350227)

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scientific article; zbMATH DE number 6661844
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Measure pseudo-almost periodic solutions in the \(\alpha\)-norm to some neutral partial differential equations with delay
scientific article; zbMATH DE number 6661844

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    Measure pseudo-almost periodic solutions in the \(\alpha\)-norm to some neutral partial differential equations with delay (English)
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    7 December 2016
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    This paper introduce a new concept of \(\mu\)-pseudo almost periodic functions. Then by applying Banach's fixed-point principle, some sufficient conditions are were obtained for the existence and uniqueness of \(\mu\)-pseudo almost periodic solutions in the \(\alpha\)-norm for some partial differential equation with infinite delay. An application for functional differential equations is given.
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    neutral partial differential equation
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    \(\mu\)-pseudo almost periodic function
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    ergodic
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    infinite delay
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