Generalizing Hartman’s oscillation result for \((| x'| ^{p- 2}x')'+c(t)| x| ^{p-2}x=0\), \(p>1\). (English) Zbl 0733.34039

del Pino, Manuel A.; Elgueta, Manuel; Manásevich, Raúl

Houston J. Math. 17, No. 1, 63-70 (1991).

The authors give a sufficient condition in order that the differential equation \[ (| x'|^{p-2}x')'+c(t)| x|^{p-2}x=0,\quad p>1,\quad '=d/dt, \] is oscillatory. The result is a simple extension to the nonlinear case of a result of Hartman.

Reviewer: A.Laforgia (Potenza)

MSC:

34C10	Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34A34	Nonlinear ordinary differential equations and systems

Keywords:

nonlinear differential equations; oscillatory solutions