On the reducibility of systems of two linear first-order ordinary differential equations

Monatshefte für Mathematik (2021)Cite this article

Abstract

Some global solvability criteria for the scalar Riccati equations are used to establish new reducibility criteria for systems of two linear first-order ordinary differential equations. Some examples are presented.

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Affiliations

  1. Institute of Mathematics NAS of Armenia, Yerevan, Armenia

    G. A. Grigorian

Authors
  1. G. A. Grigorian
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Correspondence to G. A. Grigorian.

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Communicated by Adrian Constantin.

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Grigorian, G.A. On the reducibility of systems of two linear first-order ordinary differential equations. Monatsh Math (2021). https://doi.org/10.1007/s00605-020-01503-7

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Keywords

  • The Riccati equation
  • Global solvability
  • Linear systems of ordinary differential equations
  • Reducibility

Mathematics Subject Classification

  • 34C10
  • 34C11
  • 34C99