期刊论文详细信息
Mathematics | 卷:9 |
Amended Criteria of Oscillation for Nonlinear Functional Dynamic Equations of Second-Order | |
Amir Abdel Menaem1  TaherS. Hassan2  RamiAhmad El-Nabulsi3  | |
[1] Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia; | |
[2] Department of Mathematics, Faculty of Science, University of Ha’il, Ha’il 2440, Saudi Arabia; | |
[3] Research Center for Quantum Technology, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand; | |
关键词: oscillation behavior; second-order; nonlinear; functional dynamic equation; time scales; | |
DOI : 10.3390/math9111191 | |
来源: DOAJ |
【 摘 要 】
In this paper, the sharp Hille-type oscillation criteria are proposed for a class of second-order nonlinear functional dynamic equations on an arbitrary time scale, by using the technique of Riccati transformation and integral averaging method. The obtained results demonstrate an improvement in Hille-type compared with the results reported in the literature. Some examples are provided to illustrate the significance of the obtained results.
【 授权许可】
Unknown