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math.NA2018
Functional Continuous Runge-Kutta Methods with Reuse
Alexey S. Eremin
In the paper explicit functional continuous Runge-Kutta and Runge-Kutta-Nyström methods for retarded functional differential equations are considered. New methods for first order e…
math.DS2018
Delay-induced blow-up in a planar oscillation model
Alexey Eremin, Emiko Ishiwata, Tetsuya Ishiwata +1
In this paper we study a system of delay differential equations from the viewpoint of a finite time blow-up of the solution. We prove that the system admits a blow-up solution, no…