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Oscillatory properties for linear Hamiltonian systems. (English) Zbl 1088.34025
Summary: Using generalized Riccati transformation, some new oscillation criteria of Kamenev type and Yan type for linear matrix Hamiltonian systems are established. These results improve and generalize some known oscillation criteria for second-order matrix differential systems in the literature.

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