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2014 A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity
Chunmiao Huang, Wu-Sheng Wang, Xiaoliang Zhou
J. Appl. Math. 2014: 1-9 (2014). DOI: 10.1155/2014/236965

Abstract

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.

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Chunmiao Huang. Wu-Sheng Wang. Xiaoliang Zhou. "A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity." J. Appl. Math. 2014 1 - 9, 2014. https://doi.org/10.1155/2014/236965

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131426
MathSciNet: MR3208618
Digital Object Identifier: 10.1155/2014/236965

Rights: Copyright © 2014 Hindawi

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