Symmetry and transformation properties of iterative ordinary differential equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:415

Article

Folly-Gbetoula, M.¹  Kara, A. H.^1,2 

[1] Univ Witwatersrand, Sch Math, ZA-2001 Johannesburg, South Africa

[2] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, ZA-2001 Johannesburg, South Africa

关键词: Symmetries;    Iterative equation;    Equivalence transformation;   

DOI  :  10.1016/j.jmaa.2014.01.038

来源: Elsevier

【 摘 要 】

Symmetries of linear iterative equations and new conditions on the infinitesimals are obtained. Regarding the expressions of the solutions in terms of the parameters of the source equation, an ansatz is made on the original parameters. We have also obtained an expression for the source parameters of the transformed equation under equivalence transformations. We conducted this work with a special emphasis on second-, third- and fourth-order equations, although some of our results are valid for equations of a general order. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

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