# zbMATH — the first resource for mathematics

Estimations of noncontinuable solutions of second order differential equations with $$p$$-Laplacian. (English) Zbl 1240.34187
The author studies a system of second order differential equations with $$p$$-Laplacian, a middle term and a forcing term. Lower estimations of $$\| y\| +\| y'\| ^p$$, $$p>0$$ are given for a noncontinuable solution $$y$$ (a singular solution $$y$$ of the second kind). Applications to a scalar two-term second order differential equation with $$p$$-Laplacian are given.
##### MSC:
 34C11 Growth and boundedness of solutions to ordinary differential equations 34D05 Asymptotic properties of solutions to ordinary differential equations
Full Text: