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Estimation on certain nonlinear discrete inequality and applications to boundary value problem. (English) Zbl 1168.26318

Summary: We investigate certain sum-difference inequalities in two variables which provide explicit bounds on unknown functions. Our result enables us to solve those discrete inequalities considered by Sheng and Li (2008). Furthermore, we apply our result to a boundary value problem of a partial difference equation for estimation.

MSC:

26D15 Inequalities for sums, series and integrals
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