Oscillation Criteria for Four-Dimensional Time-Scale Systems

Author

Elvan Akin, Missouri University of Science and TechnologyFollow
Gulsah Yeni

Abstract

In this paper, we obtain oscillation and nonoscillation criteria for solutions to four-dimensional systems of first-order dynamic equations on time scales. Especially, we are interested in the conditions which insure that every solution is oscillatory in the sub-linear, half-linear, and super-linear cases. Our approach is based on the sign of the components of nonoscillatory solutions. Several examples are included to highlight our main results.

Recommended Citation

E. Akin and G. Yeni, "Oscillation Criteria for Four-Dimensional Time-Scale Systems," Mediterranean Journal of Mathematics, vol. 15, no. 5, Birkhäuser Verlag, Oct 2018.

The definitive version is available at https://doi.org/10.1007/s00009-018-1244-3

Department(s)

Mathematics and Statistics

Keywords and Phrases

Four-dimensional systems; Nonoscillation; Oscillation; Time scales

International Standard Serial Number (ISSN)

1660-5446; 1660-5454

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2018 Birkhäuser Verlag, All rights reserved.

Publication Date

01 Oct 2018