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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 3, Pages 35–48
(Mi ivm8981)
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This article is cited in 6 scientific papers (total in 6 papers)
Criteria of global solvability for Riccati scalar equations
G. A. Grigoryan Institute of Mathematics, National Academy of Sciences, Republic of Armenia, 24/5 Marshal Bagramyan Ave., Erevan, 0019 Republic of Armenia
Abstract:
Based on two comparison theorems we prove certain coefficient criteria of global solvability for Riccati scalar equations. The result is applied to a system of two linear first-order differential equations.
Keywords:
Riccati equation, regular (global) solutions, normal and limit solutions, oscillation, non-oscillation, system of two linear differential first-order equations.
Received: 30.08.2013
Citation:
G. A. Grigoryan, “Criteria of global solvability for Riccati scalar equations”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 3, 35–48; Russian Math. (Iz. VUZ), 59:3 (2015), 31–42
Linking options:
https://www.mathnet.ru/eng/ivm8981 https://www.mathnet.ru/eng/ivm/y2015/i3/p35
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