Electronic Journal of Qualitative Theory of Differential Equations (Jan 2022)

Uniqueness criteria for ordinary differential equations with a generalized transversality condition at the initial condition

  • José Ángel Cid,
  • Rodrigo López Pouso,
  • Jorge Rodríguez-López

DOI
https://doi.org/10.14232/ejqtde.2022.1.6
Journal volume & issue
Vol. 2022, no. 6
pp. 1 – 14

Abstract

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In this paper, we present some uniqueness results for systems of ordinary differential equations. All of them are linked by a weak transversality condition at the initial condition, which generalizes those in the previous literature. Several examples are also provided to illustrate our results.

Keywords