A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity

作者:Huang, Chunmiao; Wang, Wu Sheng*; Zhou, Xiaoliang
来源:Journal of Applied Mathematics, 2014, 2014: 236965.
DOI:10.1155/2014/236965

摘要

We discuss a class of new nonlinear weakly singular difference inequality, which is solved by change of variable, discrete Holder 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.