Nonoscillation of Second-Order Dynamic Equations with Several Delays

Table 1

Forward jump, Δ-derivative, and Δ-integral.

𝕋	ℝ	ℤ	𝑞^ℤ, (𝑞>1)
𝜎(𝑡)	𝑡	𝑡+1	𝑞𝑡
𝑓^Δ(𝑡)	𝑓^(𝑡)	Δ𝑓(𝑡)	𝐷𝑞𝑓(𝑡)∶=(𝑓(𝑞𝑡)−𝑓(𝑡))/((𝑞−1)𝑡)
∫^𝑡𝑠𝑓(𝜂)Δ𝜂	∫^𝑡𝑠𝑓(𝜂)𝑑𝜂	∑^𝑡−1𝜂=𝑠𝑓(𝜂)	∫^𝑡𝑠𝑓(𝜂)𝑑𝑞𝜂∶=(𝑞−1)∑^log𝑞(𝑡/𝑞)𝜂=log𝑞(𝑠)𝑓(𝑞^𝜂)𝑞^𝜂