Amended Criteria of Oscillation for Nonlinear Functional Dynamic Equations of Second-Order

Mathematics

卷:9

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