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 solut...
In this article the author works with the ordinary differential equation u″= |u|~p for some p>0 and obtains some interesting phenomena concerning blow-up,blow-up rate,life-span,stability,instabil...
In this paper, we work with the ordinary differential equationn2u(n)′′=u(n)p and obtain some interesting phenomena concerning, boundedness, blow-up, blow-up rate,life-span of solutions to those equ...