Matrix differential transformations

Abstract

Differential transformations can be used in order to transform solutions of a simple differential equation into solutions of a more complicated differential equation. That way one gets explicit representations for solutions of some special differential equations. Initial value problems and boundary value problems can also be solved using differential transformations (see [6] in the case of scalar differential equations)

Keywords:

• Communicating classes of matrices
• Liouville equation
• ordinary differential equations in the complex domine.