Nonexistence of positive global solutions to the differential equation $u''-t^{-p-1}u^p=0$

Abstract

In this article we consider the ordinary differential equation $$ u'' -t^{-p-1} u^p =0. $$ We show the blow-up for solutions of this equation, under certain on the initial data.

Keywords

• Blow-up
• global solution
• nonlinear differential equation