Sharp Oscillation Criteria for Second-Order Neutral Delay Differential Equations

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Said R. Grace
Irena Jadlovská

Abstract

This paper is a continuation of a recent work by the authors on the oscillatory properties of second-order half-linear neutral delay differential equations. Providing a new apriori bound for a nonoscillatory solution, we present a new oscillation criterion, which essentially improves the existing ones. In a particular nonneutral case, the obtained oscillation constant is unimprovable.

Recommended Citation

M. Bohner et al., "Sharp Oscillation Criteria for Second-Order Neutral Delay Differential Equations," Mathematical Methods in the Applied Sciences, vol. 43, no. 17, pp. 10041 - 10053, Wiley, Nov 2020.

The definitive version is available at https://doi.org/10.1002/mma.6677

Department(s)

Mathematics and Statistics

Keywords and Phrases

delay; half-linear neutral differential equation; oscillation; second order

International Standard Serial Number (ISSN)

0170-4214; 1099-1476

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2021 Wiley, All rights reserved.

Publication Date

30 Nov 2020