Pseudodifferential equations with regular singularity for radial functions of the $p$-adic argument

UDC 517.9 We consider the case of regular singularity for a class of equations with pseudodifferential operator $D^{\alpha},$ $\alpha>0,$ on radial functions $$ |t|_p^{\alpha}(D^{\alpha})(|t|_p)=A(|t|_p)u(|t|_p). $$ Under certain conditi...

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Bibliographic Details
Date:2024
Main Authors: Serdiuk, M., Сердюк, Марія
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2024
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7769
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal