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2018/93/3-4 (10) — DOI: 10.5486/PMD.2018.8205 — pp. 445-455

Oscillation of even-order advanced functional differential equations

Authors: John R. Graef, Said R. Grace and Ercan Tunç

Abstract:

This paper is concerned with the oscillatory behavior of solutions of $n$-th-order nonlinear differential equations with advanced arguments. New sufficient conditions for the oscillation of all solutions are given that essentially improve all previously known results. An example is provided to illustrate the theorems.

Keywords: oscillation, advanced differential equation, even-order, comparison theorem

Mathematics Subject Classification: 34C10, 34K11