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Oscillation theorems for second order nonlinear differential equations with damping. (English) Zbl 0673.34041

Summary: We present some new criteria for the oscillation of the differential equation with damping \[ (a(t)\psi (x(t))x^.(t))^.+p(t)x^.(t)+q(t)f(x(t))=0, \] where p(t) and q(t) are allowed to change signs on \([t_ 0,\infty)\). These criteria are obtained by using an integral averaging technique and can be applied in some special cases in which other classical oscillation results are not applicable.

MSC:

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

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