Mathematics (Oct 2021)

Periodic Solutions in Slowly Varying Discontinuous Differential Equations: The Generic Case

  • Flaviano Battelli,
  • Michal Fečkan

DOI
https://doi.org/10.3390/math9192449
Journal volume & issue
Vol. 9, no. 19
p. 2449

Abstract

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We study persistence of periodic solutions of perturbed slowly varying discontinuous differential equations assuming that the unperturbed (frozen) equation has a non singular periodic solution. The results of this paper are motivated by a result of Holmes and Wiggins where the authors considered a two dimensional Hamiltonian family of smooth systems depending on a scalar variable which is the solution of a singularly perturbed equation.

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