Results for Functional Differential Equations with State-Dependent Delays

Explore the latest findings on functional differential equations with state-dependent delays in this 46-minute lecture by Jaqueline Mesquita from the University of Miami. Delve into the existence and uniqueness of solutions for these equations and examine their practical applications. Investigate neutral functional differential equations with state-dependent delays, focusing on a linearized instability principle. The talk draws from two recent works, including a forthcoming publication in Mathematische Annalen and a paper in the Electronic Journal of Qualitative Theory of Differential Equations, providing a comprehensive overview of current research in this mathematical field.