Oscillation of higher order nonlinear neutral differential equations with forced term

doi:10.3969/j.issn.1000-1565.2019.02.002

Journal of Hebei University (Natural Science Edition) ›› 2019, Vol. 39 ›› Issue (2): 118-123.DOI: 10.3969/j.issn.1000-1565.2019.02.002

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Oscillation of higher order nonlinear neutral differential equations with forced term

LI Jing¹, CAI Hai², WANG Peiguang²

1.Henan Engineering Research Center of Rail Transit Intelligent Security, Zhengzhou 450000, China; 2. College of Mathematics and Information Science, Hebei University, Baoding 071002, China

Received:2018-10-28 Online:2019-03-25 Published:2019-03-25

Abstract

Abstract: In this paper, we investigate a class of higher order nonlinear neutral differential equations with forced term.By using Krasnoselskii's fixed point theorem and analytical technique, new necessary and sufficient conditions are obtained for every bounded solution which either oscillates or tends to zero. In particular, the obtained results improve some known results and two examples are given to show the applications of the results.

Key words: neutral equations, forced, bounded solutions1〓预备知识

CLC Number:

O175.1

LI Jing, CAI Hai, WANG Peiguang. Oscillation of higher order nonlinear neutral differential equations with forced term[J]. Journal of Hebei University (Natural Science Edition), 2019, 39(2): 118-123.

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Oscillation of higher order nonlinear neutral differential equations with forced term

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