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On the oscillation of certain advanced functional differential equations using comparison methods. (English) Zbl 1099.34059
The authors establish some new oscillation criteria for higher-order nonlinear functional-differential equations of advanced type. The results are obtained by reducing the oscillation of the higher-order equation to the nonexistence of eventually positive solutions of advanced differential inequality of first order. The results are extended to equations of neutral type. Some examples are given to illustrate the main results.
MSC:
34K11Oscillation theory of functional-differential equations