On a Difference Equation with Exponentially Decreasing Nonlinearity

Table 1

Author(s)	Number	Sufficient condition
Karakostas et al. and Zheng et al.	(C1)	𝑝𝑞<𝛼𝑒
Ma and Yu	(C2)	𝑞𝑥𝛼≤1,
Meng and Yan	(C3)	(𝑝^2𝑞^2/𝛼^2)𝑒^𝑞(𝑄1+𝑥)<1, where 𝑄1=(𝑝/𝛼)𝑒^−𝑝𝑞/𝛼
Li and Cheng	(C4)	𝑝𝑞+𝛼<2
Ivanov	(C5)	𝑝𝑞<𝑒
Györi and Trofimchuk	(C6)	𝑝𝑞<𝑒^1/𝛼
El-Morshedy and Liz	(C7)	𝑝𝑞𝑒^−𝑞𝛽≤1−𝛼, when 𝑝𝑞>𝛼𝑒
Wang and Li	(C8)	𝑝𝑞<1−𝛼
Saker	(C9)	𝑝𝑞𝑒^−𝑞𝑥<2(1−𝛼)