New reducibility criteria for systems of two linear first-order ordinary differential equations

DOI10.1007/S00605-022-01671-8zbMath1498.34055OpenAlexW4224095713WikidataQ115385526 ScholiaQ115385526MaRDI QIDQ2139192

G. A. Grigorian

Publication date: 17 May 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-022-01671-8

zbMATH Keywords

reducibilityglobal solvabilitylinear systems of ordinary differential equationsthe Riccati equation

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Explicit solutions, first integrals of ordinary differential equations (34A05) Linear ordinary differential equations and systems (34A30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Cites Work

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• On the reducibility systems of two linear first-order ordinary differential equations
• On the reducibility of 2-dimensional linear quasi-periodic systems with small parameters

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