Positive and unbounded solution of stochastic delayed evolution equations
Guangying Lv, Liang Wang, Xiao Wang · Stochastic Analysis and Applications · 2016
This article is concerned with the blowup phenomenon of stochastic delayed evolution equations. We first establish the sufficient condition to ensure the existence of a unique nonnegative solution of stochastic parabolic equations. Then the problem of blow-up solutions in mean Lq-norm, q ⩾ 1, in a finite time is considered. The main aim in this article is to investigate the effect of time delay and stochastic term. A new result shows that the stochastic delayed term can induce singularities.