Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications (Q860613)

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scientific article; zbMATH DE number 5083312
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Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications
scientific article; zbMATH DE number 5083312

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    Existence and uniqueness of pseudo almost periodic solutions to some abstract partial neutral functional-differential equations and applications (English)
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    9 January 2007
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    The authors consider the existence and uniqueness of pseudo almost periodic (mild) solutions to some classes of first-order partial neutral functional-differential equations. Under suitable assumptions, existence and uniqueness results are obtained. Applications include both a partial integro-differential equation arising in control systems and a scalar reaction-diffusion equation with delay.
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    partial functional-differential equations
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    pseudo-almost periodic function
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