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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
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