Special Session 23: New trends in pattern formations and dynamics for dissipative systems and related topics

Some blow-up problems in delay differential equations
Tetsuya Ishiwata
Shibaura Institute of Technology
Japan
Co-Author(s):    Yukihiko Nakata
Abstract:
It is well known that time lags or histories sometimes cause instability or oscillation. In this talk, we focus on delay differential equations and discuss the effects of time delay for such instabilities from the viewpoint of a finite time blow-up of the solutions. We also show some numerical examples and give our observations.