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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Jozef Rovder (1975)
Matematický časopis
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Švec, M.
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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.
I. Brailovsky, M. Frankel, L. Kagan, G. Sivashinsky (2010)
Mathematical Modelling of Natural Phenomena
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The experimentally known phenomenon of oscillatory instability in convective burning of porous explosives is discussed. A simple phenomenological model accounting for the ejection of unburned particles from the consolidated charge is formulated and analyzed. It is shown that the post-front hydraulic resistance induced by the ejected particles provides a mechanism for the oscillatory burning.