Oscillation Criteria for Second-Order Nonlinear Neutral Delay Dynamic Equations with Damping on Time Scales

5th Annual International Conference on Material Science and Environmental Engineering

材料科学;生态环境科学

Liu, Shouhua^1 ; Zhang, Quanxin^1

Department of Mathematics, Binzhou University, Shandong

256603, China^1

关键词: Inequality techniques;    Neutral delay dynamic equations;    Oscillation criterion;    Riccati transformation;    Second orders;    Time-scales;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/301/1/012004/pdf
DOI  :  10.1088/1757-899X/301/1/012004

来源: IOP

【 摘 要 】

In this paper, we discuss oscillation criteria for second-order nonlinear neutral delay dynamic equations with damping on time scales by using the generalized Riccati transformation and the inequality technique. Under certain conditions, we establish four new oscillation criteria. Our results in this paper are new even for the cases of T = R and T = Z.