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On conjugate points of solutions of non-selfadjoint differential systems. (English) Zbl 0664.34045
Oscillation properties of the linear differential system (1) \(y'=B(x)z\), \(z'=C(x)y\), where B,C are \(n\times n\) matrices of real-valued functions, are investigated. The principal method used in the paper consists in the transformation of (1) into the so called generalized trigonometric system (2) \(S'=Q(x)C\), \(C'Q^ T(x)S\), where Q(x) is an \(n\times n\) matrix of real valued functions. This method enables to study oscillation properties of (1) by means of oscillation behaviour of certain self- adjoint system of double dimension.
Reviewer: O.Došlý
MSC:
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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References:
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