Seminar 15.4.2021: Ivana Eliasova

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Seminár z kvalitatívnej teórie diferenciálnych rovníc
Seminar on Qualitative Theory of Differential Equations

Thursday 15.4.2021 at 14:00

Ivana Eliašová (KMANM FMFI UK):
Discontinuous fractional differential equations

MS-teams link:
https://teams.microsoft.com/l/meetup-jo ... afe3%22%7d

Abstract:
We study discontinuous fractional differential equation
$$x''+\mu_1{^C D_0^q}x+g_{\pm}(x)=\mu_2h(x),$$
whose solution is $T$-periodic in the unperturbed
case ($\mu_1=\mu_2=0$) and where function $g_\pm$
transversally crosses the discontinuity boundary.
We construct a Poincare map of the equation.