Displaying similar documents to “On a class of linear ordinary differential equations having k = 0 x k δ ( k ) ( t ) and k = 0 m x k δ ( k ) ( t ) as solutions.”

A criterion of SNT(X) = {[X]} for hyperformal spaces

Jinsong Ni (2009)

Open Mathematics

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We will give a condition characterizing spaces X with SNT(X) = {[X]} which generalizes the corresponding result of McGibbon and Moller [8] for rational H-spaces.

A Kleene-Schützenberger theorem for Lindenmayerian rational power series

Juha Honkala (2010)

RAIRO - Theoretical Informatics and Applications

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We define L rational and L recognizable power series, and establish a Kleene-Schützenberger theorem for Lindenmayerian power series by showing that a power series is L rational if and only if it is L recognizable.

Cauchy type functional equations related to some associative rational functions

Katarzyna Domańska (2019)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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L. Losonczi [4] determined local solutions of the generalized Cauchy equation f(F(x, y))= f(x) + f(y) on components of the denition of a given associative rational function F. The class of the associative rational function was described by A. Chéritat [1] and his work was followed by paper [3] of the author. The aim of the present paper is to describe local solutions of the equation considered for some singular associative rational functions.