Nonlinear discrete inequalities with two variables and their applications. (English) Zbl 1205.26026

Deng, Shengfu

Appl. Math. Comput. 217, No. 5, 2217-2225 (2010).

Summary: An error in the proof of Theorem 1 by K. Zheng, Y. Wu and S. Zhong [Appl. Math. Comput. 207, No. 1, 140–147 (2009; Zbl 1178.26032)] is reported. This paper gives the right proof under some additional condition. Application examples to show boundedness and uniqueness of solutions of a Volterra type difference equation are also given.

MSC:

26D10	Inequalities involving derivatives and differential and integral operators
26D15	Inequalities for sums, series and integrals

Keywords:

discrete inequality; nonlinear; Volterra type; boundedness; uniqueness

Citations:

Zbl 1178.26032

References:

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