This article is cited 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.

UDC: 517.923

Received: 30.08.2013

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2015, 59:3, 31–42

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