Cauchy problem \(F(t,x(t),x^{\prime}(t)) = 0, x(0) = 0\): solvability and asymptotics of solutions

DOI10.1007/s10958-009-9490-3zbMath1184.34018OpenAlexW2014040391MaRDI QIDQ844388

Yu. V. Kuzina, Alexander E. Zernov

Publication date: 19 January 2010

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-009-9490-3

zbMATH Keywords

initial value problemsasymptotic expansionsimplicit equations

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) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

• Unnamed Item
• Sulla risoluzione dell'equazione \(F(t, x, dx/dt) = 0\)
• Actions with a finite number of orbits
• On proper singular points of ordinary differential equations unsolved for derivatives
• The polygonal method of solving the differential equation y' = h(t, y, y, y')

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