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Improved Oscillation Results for Functional Nonlinear Dynamic Equations of Second Order

2020; Multidisciplinary Digital Publishing Institute; Volume: 8; Issue: 11 Linguagem: Inglês

10.3390/math8111897

2227-7390

Taher S. Hassan, Yuangong Sun, Amir Abdel Menaem,

Differential Equations and Numerical Methods

In this paper, the functional dynamic equation of second order is studied on an arbitrary time scale under milder restrictions without the assumed conditions in the recent literature. The Nehari, Hille, and Ohriska type oscillation criteria of the equation are investigated. The presented results confirm that the study of the equation in this formula is superior to other previous studies. Some examples are addressed to demonstrate the finding.