Portal de Periódicos da CAPES

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

2021; Multidisciplinary Digital Publishing Institute; Volume: 9; Issue: 11 Linguagem: Inglês

10.3390/math9111191

2227-7390

Taher S. Hassan, Rami Ahmad El‐Nabulsi, Amir Abdel Menaem,

Differential Equations and Numerical Methods

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.