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

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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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