Publicationes Mathematicae Banner
2020/96/1-2 (15) — DOI: 10.5486/PMD.2020.8648 — pp. 195-206

Oscillation of even-order nonlinear differential equations with sublinear and superlinear neutral terms

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

Abstract:

This paper is concerned with the oscillatory behavior of solutions to a class of even-order nonlinear differential equations with sublinear and superlinear neutral terms. The results are obtained by a comparison with first-order delay differential equations whose oscillatory characters are known as well as by an integral criteria. Examples are provided to illustrate the main results.

Keywords: oscillation, nonlinear differential equation, even-order, neutral term

Mathematics Subject Classification: 34C10, 34K11, 34K40