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Differential equations in a linear ring

Name: Differential equations in a linear ring
Creator: Barbara Mażbic-Kulma
Keywords: 0101 mathematics, Morphisms of commutative rings, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1971Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Studia Mathematica, volume 39, pages 155-159 (issn: 0039-3223, eissn: 1730-6337,

Authors: Barbara Mażbic-Kulma;

doi: 10.4064/sm-39-2-155-159

Differential equations in a linear ring

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Abstract

Using the definition of an algebraic derivative in a linear ring given by \textit{D. Przeworska-Rolewicz} [Anais Acad. Brasil. Ci. 42, 403--409 (1970; Zbl 0205.42801)] with a little modification there is solved the differential equation \[ D^kx+p_1D^{k-1}x+\ldots+p_kx=y \] where \(y\in X\), \(p_i\in X\) \((i=1,2,\dots,k)\), \(X\) is a commutative linear ring and \(D\) is an algebraic derivative on \(X\).

Keywords

Morphisms of commutative rings

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