Global solvability of scalar Riccati equations

DOI10.3103/S1066369X15030044zbMath1323.34001OpenAlexW2116836528MaRDI QIDQ2356354

G. A. Grigorian

Publication date: 29 July 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x15030044

zbMATH Keywords

oscillationRiccati equationnon-oscillationnormal and limit solutionsregular (global) solutionssystem of two linear first-order differential equations

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Explicit solutions, first integrals of ordinary differential equations (34A05) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (4)

Necessary conditions and a test for the stability of a system of two linear ordinary differential equations of the first order ⋮ Global solvability tests for a scalar Riccati equation with complex coefficients ⋮ Some properties of solutions of a scalar Riccati equation with complex coefficients ⋮ Oscillation and non-oscillation criteria for linear nonhomogeneous systems of two first-order ordinary differential equations

Cites Work

• Properties of solutions of Riccati equation
• A necessary and sufficient condition for nonoscillatory behavior of the solutions of a system of two linear equations of the first order
• Two comparison criteria for scalar Riccati equations with applications
• A new comparison theorem for scalar Riccati equations
• Remarks on a Comparison Theorem for Scalar Riccati Equations
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