Geodesic
Oscillatory and non-oscillatory criteria for linear four-dimensional Hamiltonian systems
Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 289-304

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The Riccati equation method is used to study the oscillatory and non-oscillatory behavior of solutions of linear four-dimensional Hamiltonian systems. One oscillatory and three non-oscillatory criteria are proved. Examples of the obtained results are compared with some well known ones.
DOI : 10.21136/MB.2020.0149-19
Classification : 34C10
Keywords: Riccati equation; oscillation; non-oscillation; conjoined (prepared, preferred) solution; Liouville's formula 
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Grigorian, Gevorg A. Oscillatory and non-oscillatory criteria for linear four-dimensional Hamiltonian systems. Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 289-304. doi: 10.21136/MB.2020.0149-19

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