On the group classification of systems of two linear second-order ordinary differential equations with constant coefficients

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Meleshko, S. V.¹  Moyo, S.^2,3  Oguis, G. F.¹ 

[1] Suranaree Univ Technol, Sch Math, Nakhon Ratchasima 30000, Thailand

[2] Durban Univ Technol, Dept Math Stat & Phys, ZA-4000 Durban, South Africa

[3] Inst Syst Sci, ZA-4000 Durban, South Africa

关键词: Group classification;    Linear equations;    Admitted Lie group;    Equivalence transformation;   

DOI  :  10.1016/j.jmaa.2013.08.033

来源: Elsevier

【 摘 要 】

The completeness of the group classification of systems of two linear second-order ordinary differential equations with constant coefficients is delineated in the paper. The new cases extend what has been done in the literature. These cases correspond to the type of equations where the commutative property of the coefficient matrices with respect to the dependent variables and the first-order derivatives in the considered system does not hold. A discussion of the results as well as a note on the extension to linear systems of second-order ordinary differential equations with more than two equations are given. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free