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Nonlinear functionals in oscillation theory of matrix differential systems. (English) Zbl 1055.34067

The author presents general oscillation criteria for the second-order two-terms linear differential system \[ (P(t)Y')'+Q(t)Y=0. \] Obtained results are established by using nonlinear functionals on a suitable matrix space.

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A30 Linear ordinary differential equations and systems
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