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.