Qualitative Investigation of the Singular Cauchy Problem F(t, x, x ) = 0, x(0) = 0

DOI10.1023/B:UKMA.0000031665.68696.ddzbMath1080.34505OpenAlexW2004395485MaRDI QIDQ5693644

Yu. V. Kuzina, Alexander E. Zernov

Publication date: 28 September 2005

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

Full work available at URL: https://doi.org/10.1023/b:ukma.0000031665.68696.dd

zbMATH Keywords

singular Cauchy problemsolutions with prescribed asymptotics

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)

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Qualitative analysis of the Cauchy problem \(F(t,x,x')=0, x(0)=0\) ⋮ Singular Cauchy problem for an ordinary differential equation unsolved with respect to the derivative of the unknown function

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