Two comparison criteria for scalar Riccati equations with applications

DOI10.3103/S1066369X12110023zbMath1270.34062OpenAlexW1969267211MaRDI QIDQ1941803

G. A. Grigorian

Publication date: 22 March 2013

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

Full work available at URL: https://doi.org/10.3103/s1066369x12110023

zbMATH Keywords

dissipativityconservativityRiccaticomparison criteriaMathieu equationsHill\(p\)-conservativity\(p\)-dissipativityRedheffer system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items

Stability criteria for systems of two first-order linear ordinary differential equations, Global solvability tests for a scalar Riccati equation with complex coefficients, Prüfer angle and non-oscillation of linear equations with quasiperiodic data, Properties of solutions of the scalar Riccati equation with complex coefficients and some their applications, Oscillatory and non oscillatory criteria for the systems of two linear first order two by two dimensional matrix ordinary differential equations, Oscillation and non-oscillation criteria for linear nonhomogeneous systems of two first-order ordinary differential equations, Global solvability criteria for quaternionic Riccati equations, Global solvability of scalar Riccati equations

Cites Work

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• Oscillation Criteria for Second Order Linear Differential Equations with Damping
• Kamenev Type Theorems for Second Order Matrix Differential Systems
• A new comparison theorem for scalar Riccati equations
• Remarks on a Comparison Theorem for Scalar Riccati Equations