G. A. Grigorian
Published 2022-09-02Version 1
The Riccati equation method is used to establish new oscillation criteria for linear matrix Hamiltonian systems. New approaches allow to extend and completed a result, obtained by S. Kumary and S. Umamaheswaram. The oscillation problem for linear matrix Hamiltonian systems in a new direction, which is to break the positive definiteness condition, imposed on one of the coeffcients of the system, is investigated. Some examples are provided for comparing the obtained results with each other and with the result of S. Kumary and S. Umamaheswaram, as well as to illustrate the applicability of these results.
A new oscillation criterion for linear matrix Hamiltonian systems
Oscillation criteria for extended linear matrix Hamiltonian systems
Oscillation criteria for second order linear systems of ordinary differential equations
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