UT Dallas 2021 Graduate Catalog

MATH6338 - Delay Differential Equations

MATH 6338 Delay Differential Equations (3 semester credit hours) Delay differential equations (DDEs) describe the phenomenon that the rate of change of the state variable is dependent on its historical memory. Course topics will be selected from: Existence and uniqueness of solutions, continuation and continuous dependence on parameters of solutions; Linear systems of delay differential equations; Basic notions of dynamical systems induced by DDEs; Periodic solutions and Hopf bifurcation; Analysis of DDE models; DDEs with state-dependent delays and their local and global Hopf bifurcation. Prerequisite: MATH 6315, or instructor consent required. (3-0) T