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Zbl 1099.34059
Agarwal, R.P.; Grace, S.R.; O'Regan, D.
On the oscillation of certain advanced functional differential equations using comparison methods. (English)
[J] Fasc. Math. 35, 5-22 (2005). ISSN 0044-4413

The authors establish some new oscillation criteria for higher-order nonlinear functional-differen\-tial 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.
[Samir H. Saker (Calgary)]
MSC 2000:
*34K11 Oscillation theory of functional-differential equations

Keywords: oscillation; higher-order advanced differential equations

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