4 papers
Practicalities of State-Dependent and Threshold Delay Differential Equations
A. R. Humphries, A. S. Eremin, Z. Wang
Delays are ubiquitous in applied problems, but often do not arise as the simple constant discrete delays that analysts and numerical analysts like to treat. In this chapter we show…
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…
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…
Solving Boundary Value Problem for a Nonlinear Stationary Controllable System with Synthesizing Control
Alexander N. Kvitko, Oksana S. Firyulina, Alexey S. Eremin
An algorithm for constructing a control function that transfers a wide class of stationary nonlinear systems of ordinary differential equations from an initial state to a final sta…