Global behavior of the Solutions to a Class of Nonlinear, Singular Second Order ODE

Mama Abdelli, Alain Haraux

In this paper the initial value problem and global properties of solutions are studied for the scalar second order ODE: $(|u^{\prime }{|}^l{u}^{\prime }{)}^{\prime }+c|u^{\prime }{|}^{\alpha }{u}^{\prime }+d|u{|}^{\beta }u=0$, where $\alpha ,\beta ,l,c,d$…