Ordinary differential operators possessing invariant subspaces of polynomial type.
type: Item
instance of: scholarly article
title: Ordinary differential operators possessing invariant subspaces of polynomial type.
zbMATH Open document ID: 1036.35014
DOI: 10.1016/S1007-5704(03)00019-4
author: Sergey R. Svirshchevskii
published in: Communications in Nonlinear Science and Numerical Simulation
publication date: 2004-01-06T00:00:00Z
review text: Let \(L\{1,x,\ldots,x^{n-1}\}\) be the linear span of functions \(1,x,\ldots,x^{n-1}\). In this work, the set of all ordinary differential operators leaving \(L\{1,x,\ldots,x^{n-1}\}\) invariant is completely described. He author obtains a complete description of the subset of translation-invariant operators and the subset of translation-invariant operators of submaximal order for \(n\leq 4\).
Mathematics Subject Classification ID: 35A30
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 34L30
zbMATH DE Number: 2021954
zbMATH Keywords: evolution equation
zbMATH Keywords: Lie-Bäcklund symmetry
zbMATH Keywords: highest symmetry
reviewed by: Valeriy Yumaguzhin
MaRDI profile type: Publication
cites work: Q3893000
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cites work: Lie--Bäcklund symmetries of submaximal order of ordinary differential equations
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full work available at URL: s1007-5704(03)00019-4
OpenAlex ID: W2060091845
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description: scientific article; zbMATH DE number 2021954