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On some abstract functional integro-differential equations - MaRDI portal

On some abstract functional integro-differential equations (Q804881)

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scientific article; zbMATH DE number 4203037
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English
On some abstract functional integro-differential equations
scientific article; zbMATH DE number 4203037

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    On some abstract functional integro-differential equations (English)
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    1991
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    The authors study the existence, uniqueness, continuation, and asymptotic behaviour of solutions of a certain type of integro-differential equations on a Banach space, which are abstract models of partial differential and partial integro-differential equations arising in heat flow in materials with memory, viscoelasticity, and reaction-diffusion problems. Examples are also given to illustrate the results.
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    abstract functional integro-differential equations
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    existence
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    uniqueness
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    continuation
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    asymptotic behaviour
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    Banach space
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    heat flow in materials with memory
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    viscoelasticity
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    reaction-diffusion problems
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