Oscillatory criteria for the hamiltonian systems

15 Jan 2019  ·  Grigorian G. A. ·

The Riccati equation method is used to establish some new oscillatory criteria for the hamiltonian systems in a new direction, which is to break the positive definiteness restriction imposed on one of coefficients of the hamiltonian system. The obtained results are compared with some known oscillatory criteria.

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Classical Analysis and ODEs