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On singularly perturbed partial integro-differential equations with irregular singularity - MaRDI portal

On singularly perturbed partial integro-differential equations with irregular singularity (Q2466407)

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On singularly perturbed partial integro-differential equations with irregular singularity
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    On singularly perturbed partial integro-differential equations with irregular singularity (English)
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    14 January 2008
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    The goal of the author is to investigate exact asymptotics of actual solutions of certain classes of singular, singularly perturbed partial integro-differential equations of irregular type in the complex domain in its perturbation parameter. The main tool a is global Cauchy-Kowalewski theorem. A result of \(k\)-summability is presented.
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    singular perturbed partial integro-differential equation
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    perturbation
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    asymptotics
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    irregular type
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    global Cauchy-Kowalewski theorem
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    \(k\)-summability
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