Department of Mathematics
Time transformations for state-dependent delay differential equations
In this paper we analyze particular changes of variable, called time transformations, reducing a delay differential equation with a state-dependent delay to a delay differential equation with a prescribed non-state-dependent delay. We then employ these transformations to compute the breaking points of solutions and to derive optimal superconvergence results for Runge-Kutta methods for state-dependent equations.
Breaking points, Changes of variable, Delay differential equations, State-dependent delays, Superconvergence
Source Publication Title
Communications on Pure and Applied Analysis
American Institute of Mathematical Sciences
Brunner, H., and S. Maset. "Time transformations for state-dependent delay differential equations." Communications on Pure and Applied Analysis 9.1 (2010): 23-45.