Geometrical approach to the study of the Riccati differential equation with complex-valued coefficients

DOI10.1016/0022-0396(77)90183-8zbMath0347.34004OpenAlexW2047028271MaRDI QIDQ1233965

Milos Rab

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90183-8

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations in the complex domain (34M99)

Related Items (12)

Stability of complex-valued impulsive system with delay ⋮ Stability analysis of complex-valued impulsive systems with time delay ⋮ On one approach to the study of the asymptotic behaviour of the Riccati equation with complex-valued coefficients ⋮ Stability analysis of complex-valued nonlinear differential system ⋮ Existence and uniqueness of solutions to complex-valued nonlinear impulsive differential systems ⋮ Stability of complex-valued impulsive and switching system and application to the Lü system ⋮ On certain asymptotic properties of the solutions of the equation $\dot z=f(t,z)$ with a complex-valued function $f$ ⋮ Stability analysis of complex-valued nonlinear delay differential systems ⋮ The existence and stability of two periodic solutions on a class of Riccati's equation ⋮ Planar nonautonomous polynomial equations: the Riccati equation ⋮ Periodic solutions of quaternionic-valued ordinary differential equations ⋮ Contributions to the asymptotic behaviour of the equation $\dot z=f(t,z)$ with a complex-valued function $f$

Cites Work

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• The Riccati differential equation with complex-valued coefficients

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