Some results in the theory of a third-order linear differential equation
Michal Greguš, Milan Gera (1983)
Annales Polonici Mathematici
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Michal Greguš, Milan Gera (1983)
Annales Polonici Mathematici
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Giorgadze, G. (1995)
Memoirs on Differential Equations and Mathematical Physics
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Zdzisław Frydrych (1975)
Annales Polonici Mathematici
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Švec, M.
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Jozef Rovder (1975)
Matematický časopis
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Lomtatidze, A., Partsvania, N. (1995)
Memoirs on Differential Equations and Mathematical Physics
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A. Lasota, James A. Yorke (1971)
Annales Polonici Mathematici
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D. Willett (1969)
Annales Polonici Mathematici
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Gevorg A. Grigorian (2021)
Mathematica Bohemica
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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.
Gevorg Avagovich Grigorian (2018)
Archivum Mathematicum
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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.