Oscillation of Second-order Emden–Fowler Neutral Delay Differential Equations

Author

Ravi P. Agarwal
Martin Bohner, Missouri University of Science and TechnologyFollow
Tongxing Li
Chenghui Zhang

Abstract

We establish some new criteria for the oscillation of second-order Emden–Fowler neutral delay differential equations. We study the case of super linear and the case of sublinear equations subject to various conditions. The results obtained show that the presence of a neutral term in a differential equation can cause or destroy oscillatory properties. Several examples are provided to illustrate the relevance of new theorems.

Recommended Citation

R. P. Agarwal et al., "Oscillation of Second-order Emden–Fowler Neutral Delay Differential Equations," Annali di Matematica Pura ed Applicata, vol. 193, no. 6, pp. 1861 - 1875, Springer, Nov 2014.

The definitive version is available at https://doi.org/10.1007/s10231-013-0361-7

Department(s)

Mathematics and Statistics

Comments

National Key Research and Development Program of China, Grant 51107069

Keywords and Phrases

Emden–Fowler equation; Neutral differential equation; Oscillation; Second-order

International Standard Serial Number (ISSN)

1618-1891; 0373-3114

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 Springer, All rights reserved.

Publication Date

08 Nov 2014