Nonlinear second order differential equation with force u''(t)=uP(t)(c1+c2u'(t)q)

Abstract

在這一篇論文中，我們討論的是常微分方程u" =uP(C1+C2(u')q")我們發現一些現象，爆破率、爆破常數、爆破時間。而且我們還發現爆破時問與係數之間的關係，我們將在之後討論。In this paper we work with the ordinary differential equation u" = uP(C1+C2(u')q"). We have found some phenomena, blow-up, blow-up rate, blow-up constant, blow-up time are obtained in this work. Further, we have also found the relationship between blow-up time and blow-up coefficients, we shall detail illustrate it later