## Oscillation theorems for nonlinear differential equations of second order.(English)Zbl 0767.34017

Oscillation criteria are obtained for nonlinear differential equations of the type (1) $$[rg(x)x']'+px'=qf(x)$$, where $$p$$, $$q$$, $$r$$ are real-valued continuous functions in a non-negative interval $$[t_ 0,\infty)$$, $$f$$, $$g$$ are real-valued continuous functions in $$(-\infty,\infty)$$, $$r(t)>0$$ in $$[t_ 0,\infty)$$, $$xf(x)>0$$, and $$g(x)>0$$ for all $$x\neq 0$$. The theorems generalize several earlier ones of similar type.

### MSC:

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

### Keywords:

oscillation criteria; nonlinear differential equations
Full Text:

### References:

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