Some remarks on Nagumo's theorem

Thomas Mejstrik

Displaying similar documents to “Some remarks on Nagumo's theorem”

A note on the Cauchy problem for first order linear differential equations with a deviating argument

Robert Hakl, Alexander Lomtatidze (2002)

Archivum Mathematicum

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Conditions for the existence and uniqueness of a solution of the Cauchy problem $u^{'} (t) = p (t) u (τ (t)) + q (t), u (a) = c,$ established in [2], are formulated more precisely and refined for the special case, where the function $τ$ maps the interval $] a, b [$ into some subinterval $[τ_{0}, τ_{1}] \subseteq [a, b]$ , which can be degenerated to a point.

A barrier method for quasilinear ordinary differential equations of the curvature type

Toshiaki Kusahara, Hiroyuki Usami (2000)

Czechoslovak Mathematical Journal

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On a variational inequality for the nonhomogeneous degenerated Kirchhoff equation with a frictional damping.

Frota, C.L., Lar'kin, N.A. (1998)

Portugaliae Mathematica

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Functional differential equations

Tadeusz Jankowski (2002)

Czechoslovak Mathematical Journal

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The method of quasilinearization is a well-known technique for obtaining approximate solutions of nonlinear differential equations. In this paper we apply this technique to functional differential problems. It is shown that linear iterations converge to the unique solution and this convergence is superlinear.