A note to pointwise transformations of linear quasi-differential equations. (English) Zbl 0731.34007

Čadek, Martin

Arch. Math., Brno 26, No. 1, 27-35 (1990).

Scalar differential equation, which can be obtained by elimination from the system \(y'=A(x)y\) (where the elements of \(n\times n\) matrix A satisfy conditions \(A^ i_{i+1}\neq 0\), \(A^ i_ j=0\) for \(1\leq i+2\leq j\leq n)\) is called in this paper a linear quasi-differential equation of n-th order. The author formulates the pointwise transformations of these equations (see the following review).

Reviewer: P.F.Moson (Budapest)

MSC:

34A30	Linear ordinary differential equations and systems
34C20	Transformation and reduction of ordinary differential equations and systems, normal forms

Keywords:

Scalar differential equation; linear quasi-differential equation of n-th order; pointwise transformations

Citations:

Zbl 0731.34008