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Oscillation criteria for second-order nonlinear differential equations with damping. (English) Zbl 0977.34027

The authors consider second-order nonlinear differential equations with damping of the form \[ (a(t)\Psi(x)x')'+p(t)x'+q(t)f(x)=0,\quad t\geq t_0, \] where \(p\) and \(q\) are allowed to change signs. Using Philos’ technique some new oscillatory criteria are established.

MSC:

34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations

Keywords:

oscillation; damping
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