New Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with a Nonpositive Neutral Term on Time Scales | ||||
| Benha Journal of Applied Sciences | ||||
| Article 30, Volume 5, Issue 7 part (1) - (2), October 2020, Page 183-187 PDF (313.53 K) | ||||
| Document Type: Original Research Papers | ||||
| DOI: 10.21608/bjas.2020.226977 | ||||
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| Authors | ||||
| A.A. Soliman; A.M. Hassan; S.E. Affan | ||||
| Mathematics Dept., Faculty of Science, Benha Univ., Benha, Egypt | ||||
| Abstract | ||||
| n this paper, we investigate the oscillatory behavior of solutions of a class of second order nonlinear neutral delay dynamic equations with nonpositive coefficient [𝑟(𝑡)(𝑧Δ(𝑡))𝛼]Δ + 𝑞(𝑡)𝑥𝛽(𝛿(𝑡)) = 0, where 𝛼 ≥ 𝛽 are ratios of odd positive integers and 𝑧(𝑡): = 𝑥(𝑡) - 𝑝(𝑡)𝑥(𝜏(𝑡)). The obtained result not only new but also answered the question that introduced by Li [12]. | ||||
| Keywords | ||||
| Second order; Nonlinear dynamic equations; Oscillation; Riccati transformation | ||||
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