摘要
In this article, we study the following initial value problem for the nonlinear equation {u″u（t）=c1＋c2u′（t）^2, c1≥0, c2≥0, u（0）=u0, u′（0）=u1. We are interested in properties of solutions of the above problem. We find the life-span, blow-up rate, blow-up constant and the regularity, null point, critical point, and asymptotic behavior at infinity of the solutions.
In this article, we study the following initial value problem for the nonlinear equation {u″u（t）=c1＋c2u′（t）^2, c1≥0, c2≥0, u（0）=u0, u′（0）=u1. We are interested in properties of solutions of the above problem. We find the life-span, blow-up rate, blow-up constant and the regularity, null point, critical point, and asymptotic behavior at infinity of the solutions.
