Abstract

In this talk, we will introduce the state-dependent delays differential equations, showing the importance of the investigations of these equations. Also, we will present some results such as stability and instability criteria, and some applications.

Biography

Jaqueline Godoy Mesquita completed her PhD in Mathematics in 2012 at the University of São Paulo with a period at the Academy of Sciences of Czech Republic in Prague. She has won the International Bernd-Aulbach Prize for Students in 2012, awarded by the International Society of Difference Equations. She was selected to participate at the 5th Heidelberg Laureate Forum 2017 and was selected to be an Oberwolfach Leibniz Fellow during 2018. She was elected young affiliated member of The World Academy of Sciences (TWAS-LACREP) (2018–2022), affiliated member of the Brazilian Academy of Sciences (2018–2022) and regional secretary of the Brazilian Mathematical Society (2017-2019) and (2019-2021). In 2019, she was Capes/Alexander von-Humboldt fellow at the Justus Liebig Universität Giessen, Germany. She won the prize “For Women in Sciences” awarded by L’Oreal, UNESCO and Brazilian Academy of Sciences in 2019 at the category of “Mathematics”. She was selected together with Janelle Mason to interview Karen Uhlenbeck, the winner of Abel prize in 2019, at the virtual Heidelberg Laureate Forum 2020. She was elected vice-president of the Brazilian Mathematical Society during 2021-2023. Currently She is a professor at Campinas and the president of Brazilian Math Society.