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Solution of a singular Cauchy problem of implicit form

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Publication:1177729
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DOI10.1007/BF01058937zbMath0735.34003MaRDI QIDQ1177729

Alexander E. Zernov

Publication date: 26 June 1992

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

Banach contraction principleexistence and uniquenessimplicit equationsingular Cauchy problemcontinuously differentiable solution


Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Nonlinear ordinary differential equations and systems (34A34)


Related Items (2)

Peano's theorem for implicit differential equations ⋮ Existence of periodic solutions for fully nonlinear first-order differential equations



Cites Work

  • On a singular problem of Cauchy-Nicoletti
  • Unnamed Item
  • Unnamed Item


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