## Oscillation criteria for second-order nonlinear differential equations with damping.(English)Zbl 1147.34026

The authors derive conditions for every solution of the class of second order half-linear differential equations
$(\Phi_{p}(x'))' +a(t)\Phi_{p}(x')+b(t)\Phi_{p}(x)=0$
to approach zero if the zero solution is globally asymptotically stable.

### MSC:

 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34D05 Asymptotic properties of solutions to ordinary differential equations 37B25 Stability of topological dynamical systems

### Keywords:

phase plane analysis; global asymptotic stability
Full Text:

### References:

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