On the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. I

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dc.creatorGorbachuk, Myroslav L.
dc.creatorGorbachuk, Valentyna I.
dc.date2003-05-05
dc.date2003-12-01
dc.date.accessioned2026-07-07T04:57:46Z
dc.date.available2026-07-07T04:57:46Z
dc.descriptionFor the Cauchy problem for an operator differential equation of the form $y'(z) = Ay(z)$, where $A$ is a closed linear operator on a Banach space over the completion of an algebraic closure of the field of $p$-adic numbers, a criterion of correct solvability in the class of locally analytic vector-functions is established. It is shown how the Cauchy-Kovalevskaya theorem for $p$-adic partial differential equations may be obtained as a particular case from this criterion.
dc.description7 pages, LaTeX-2e
dc.identifierhttps://arxiv.org/abs/math/0305074
dc.identifierhttp://arxiv.org/abs/math/0305074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67373
dc.subjectNumber Theory
dc.subjectAnalysis of PDEs
dc.subject12H25; 34G10
dc.titleOn the Cauchy Problem for Differential Equations in a Banach Space over the Field of p-Adic Numbers. I
dc.typetext

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