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On the Liouville-type transformation for differential systems. (English) Zbl 0631.34042
The Liouville-type transformation for linear differential systems of the second order \(y''+P(x)y=0\), where P(x) is a symmetric nonsingular \(n\times n\) matrix, is established. By means of this transformation the well-known oscillation and asymptotic criteria for scalar differential equations are extended to differential systems.
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34E05 Asymptotic expansions of solutions to ordinary differential equations
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