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.


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