Some properties of solutions of a scalar Riccati equation with complex coefficients

We give the definition of normal and limit solutions of the Riccati equation with complex coefficients and study some properties of these solutions. We prove the minimality property of a solution of a system of two linear first-order ordinary differential equations.

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Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2016-10, Vol.52 (10), p.1366-1370
1. Verfasser:	Grigoryan, G. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Mathematical models Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Short Communications Studies Theorems
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We give the definition of normal and limit solutions of the Riccati equation with complex coefficients and study some properties of these solutions. We prove the minimality property of a solution of a system of two linear first-order ordinary differential equations.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266116100128