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Keywords:
Riccati equation; oscillation; non-oscillation; conjoined (prepared, preferred) solution; Liouville's formula
Riccati equation; oscillation; non-oscillation; conjoined (prepared, preferred) solution; Liouville's formula
Summary:
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.
References:
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