Abstract

The oscillatory behavior of the solutions to a differential equation with several non-monotone arguments and nonnegative coefficients is studied, and some new oscillation criteria are given. More precisely, sufficient conditions in terms of limsup and liminf are established, which essentially improve several known criteria existing in the literature. The results are illustrated by examples numerically solved in MATLAB.

Details

Title
Oscillations of differential equations with non-monotone deviating arguments
Author
Chatzarakis, George E 1 ; Jadlovská, Irena 2 ; Li, Tongxing 3 

 Department of Electrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Athens, Greece 
 Department of Mathematics and Theoretical Informatics, Faculty of Electrical Engineering and Informatics, Technical University of Košice, Košice, Slovakia 
 School of Control Science and Engineering, Shandong University, Jinan, P.R. China 
Pages
1-20
Publication year
2019
Publication date
Jun 2019
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2239766004
Copyright
Advances in Difference Equations is a copyright of Springer, (2019). All Rights Reserved., © 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.