Oscillation of Solutions of Second-order Linear Differential Equations and Corresponding Difference Equations
Abstract
In this paper, we present conditions ensuring that solutions of linear second-order differential equations oscillate, provided solutions of corresponding difference equations oscillate. We also establish the converse result, namely, when oscillation of solutions of difference equations implies oscillation of solutions of corresponding differential equations. © 2014 © 2014 Taylor & Francis.
Recommended Citation
M. Bohner et al., "Oscillation of Solutions of Second-order Linear Differential Equations and Corresponding Difference Equations," Journal of Difference Equations and Applications, vol. 20, no. 7, pp. 1112 - 1126, Taylor and Francis Group; Taylor and Francis, Jan 2014.
The definitive version is available at https://doi.org/10.1080/10236198.2014.893297
Department(s)
Mathematics and Statistics
Keywords and Phrases
amplitude of oscillation; difference equation; finite difference; oscillation; zeros of solutions
International Standard Serial Number (ISSN)
1563-5120; 1023-6198
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Taylor and Francis Group; Taylor and Francis, All rights reserved.
Publication Date
01 Jan 2014
