Faculty of Mathematics, Physics
and Informatics
Comenius University in Bratislava

# Seminar on Qualitative Theory of Differential Equations - Ivana Eliášová (15.4.2021)

## Thursday 15.4.2021 at 14:00, online

07. 04. 2021 14.23 hod.

Ivana Eliašová: Discontinuous fractional differential equations

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.