Jong-Shenq Guo and Je-Chiang Tsai
Abstract. We study an initial value problem for a semilinear ordinary differential equation. This problem is closely related to the blow-up behaviour of a semilinear parabolic problem. Under some restrictions, we characterize the structure of solutions and derive the uniqueness of positive global solution of this initial value problem.
Keywords: initial value problem, semilinear, blow-up behavior, global solution