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S. Lie, “Klassifikation und Integration Vongewohnlichen Differentialgleichungenzwischen x, y die eine Gruppe von Transformation engestatten. III,” Archiv for Matematikog Naturvidenskab, Vol. 8, No. 4, 1883, pp. 371-427.

has been cited by the following article:

• TITLE: Criteria for System of Three Second-Order Ordinary Differential Equations to Be Reduced to a Linear System via Restricted Class of Point Transformation

  AUTHORS: Supaporn Suksern, Nawee Sakdadech

  KEYWORDS: Linearization Problem; Point Transformation; System of Three Second-Order Ordinary Differential Equation

  JOURNAL NAME: Applied Mathematics, Vol.5 No.3, February 13, 2014

  ABSTRACT: This paper is devoted to the study of the linearization problem of system of three second-order ordinary differential equations and . The necessary conditions for linearization by general point transformation and are found. The sufficient conditions for linearization by restricted class of point transformation and are obtained. Moreover, the procedure for obtaining the linearizing transformation is provided in explicit forms. Examples demonstrating the procedure of using the linearization theorems are presented.