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The Bolzano-Poincare-Miranda theorem in infinite dimensional Banach spaces

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 نشر من قبل David Ariza-Ruiz
 تاريخ النشر 2018
  مجال البحث
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We study the existence of zeroes of mappings defined in Banach spaces. We obtain, in particular, an extension of the well-known Bolzano-Poincare-Miranda theorem to infinite dimensional Banach spaces. We also establish a result regarding the existence of periodic solutions to differential equations posed in an arbitrary Banach space.



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