A remark on small divisors problems

Hana Petzeltová; Pavla Vrbová

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A generalized contraction mapping theorem in E-metric spaces

James Daniel (1974)

Studia Mathematica

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On exponents of convergence of subsequences

Tibor Šalát (1984)

Czechoslovak Mathematical Journal

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Asymptotic properties of solutions of the differential equation ${A_{n - 1}^{- 1} (t) \dots {[A_{1}^{- 1} (t) y^{'}]}^{'} \dots}^{'} = A_{n} (t) y + F (t)$

Ivo Res (1979)

Archivum Mathematicum

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Geometric characteristics for convergence and asymptotics of successive approximations of equations with smooth operators

Boris Godunov, Petr Zabreĭko (1995)

Studia Mathematica

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We discuss the problem of characterizing the possible asymptotic behaviour of the iterates of a sufficiently smooth nonlinear operator acting in a Banach space in small neighbourhoods of a fixed point. It turns out that under natural conditions, for the most part of initial approximations these iterates tend to "lie down" along a finite-dimensional subspace generated by the leading (peripherical) eigensubspaces of the Fréchet derivative at the fixed point and moreover the asymptotic...

Displaying similar documents to “A remark on small divisors problems”

A generalized contraction mapping theorem in E-metric spaces

On exponents of convergence of subsequences

Asymptotic properties of solutions of the differential equation { A n - 1 - 1 ( t ) ⋯ [ A 1 - 1 ( t ) y ' ] ' ⋯ } ' = A n ( t ) y + F ( t )

Geometric characteristics for convergence and asymptotics of successive approximations of equations with smooth operators

Asymptotic properties of solutions of the differential equation ${A_{n - 1}^{- 1} (t) \dots {[A_{1}^{- 1} (t) y^{'}]}^{'} \dots}^{'} = A_{n} (t) y + F (t)$