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

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