## On a max-type difference inequality and its applications.(English)Zbl 1192.39008

Summary: We prove a useful max-type difference inequality which can be applied in studying of some max-type difference equations and give an application of it in a recent problem from the research area. We also give a representation of solutions of the difference equation $$x_{n}= \max\left\{ x_{n-1}^{a_1},\dots ,x_{n-k}^{a_k}\right\}$$.

### MSC:

 39A20 Multiplicative and other generalized difference equations
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### References:

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