Soliman, A., Hassan, A., Affan, S. (2020). New Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with a Nonpositive Neutral Term on Time Scales. Benha Journal of Applied Sciences, 5(Issue 7 part (1) - (2)), 183-187. doi: 10.21608/bjas.2020.226977
A.A. Soliman; A.M. Hassan; S.E. Affan. "New Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with a Nonpositive Neutral Term on Time Scales". Benha Journal of Applied Sciences, 5, Issue 7 part (1) - (2), 2020, 183-187. doi: 10.21608/bjas.2020.226977
Soliman, A., Hassan, A., Affan, S. (2020). 'New Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with a Nonpositive Neutral Term on Time Scales', Benha Journal of Applied Sciences, 5(Issue 7 part (1) - (2)), pp. 183-187. doi: 10.21608/bjas.2020.226977
Soliman, A., Hassan, A., Affan, S. New Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with a Nonpositive Neutral Term on Time Scales. Benha Journal of Applied Sciences, 2020; 5(Issue 7 part (1) - (2)): 183-187. doi: 10.21608/bjas.2020.226977
New Oscillation Criteria for Second-Order Neutral Delay Dynamic Equations with a Nonpositive Neutral Term on Time Scales
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].