Abstract
This paper investigates the existence of positive extremal solutions for nonlinear impulsive \(q_{k}\)-difference equations via a monotone iterative method. The main result is well illustrated with the aid of an example.
Highlights
In recent years, there has been put focus on developing the existence theory for initial and boundary value problems of q-difference equations and inclusions
It has been found that the study of qk-difference equations is still at its initial phase and needs further attention
We construct two explicit monotone iterative sequences, which converge to positive extremal solutions of nonlinear impulsive qk-difference equations ( . ): t k– ti+
Summary
Ravi P Agarwal1,2*, Guotao Wang[3], Bashir Ahmad[2], Lihong Zhang[3] and Aatef Hobiny[2]
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