Geodesic
Oscillatory and non oscillatory criteria for the systems of two linear first order two by two dimensional matrix ordinary differential equations
Archivum mathematicum, Tome 54 (2018) no. 4, pp. 189-203

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The Riccati equation method is used for study the oscillatory and non oscillatory behavior of solutions of systems of two first order linear two by two dimensional matrix differential equations. An integral and an interval oscillatory criteria are obtained. Two non oscillatory criteria are obtained as well. On an example, one of the obtained oscillatory criteria is compared with some well known results.
DOI : 10.5817/AM2018-4-189
Classification : 34C10
Keywords: Riccati equation; oscillation; non oscillation; prepared (preferred) solution; Liouville’s formula 
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Grigorian, Gevorg Avagovich. Oscillatory and non oscillatory criteria for the systems of two linear first order two by two dimensional matrix ordinary differential equations. Archivum mathematicum, Tome 54 (2018) no. 4, pp. 189-203. doi: 10.5817/AM2018-4-189

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