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Journal of Applied Mathematics
Volume 2014, Article ID 236965, 9 pages
Research Article

A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity

1School of Mathematics and Statistics, Hechi University, Yizhou, Guangxi 546300, China
2Department of Mathematics, Zhanjiang Normal University, Zhanjiang, Guangdong 524088, China

Received 27 March 2014; Accepted 28 April 2014; Published 8 May 2014

Academic Editor: Junjie Wei

Copyright © 2014 Chunmiao Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Hölder inequality, discrete Jensen inequality, the mean-value theorem for integrals and amplification method, and Gamma function. Explicit bound for the unknown function is given clearly. Moreover, an example is presented to show the usefulness of our results.