A Class of Nonlinear Singular Difference Inequality in Engineering

Wu Sheng Wang; Zong Yi Hou

doi:10.4028/www.scientific.net/AMM.577.824

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 577A Class of Nonlinear Singular Difference...

A Class of Nonlinear Singular Difference Inequality in Engineering

Abstract:

In this paper, we discuss a class of new nonlinear weakly singular difference inequality. Using change of variable, discrete Jensen inequality, amplification method, the mean-value theorem for integrals and Gamma function, explicit bounds for the unknown functions in the inequality is given clearly. The derived results can be applied in the study of fractional difference equations in Engineering.

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Periodical:

Applied Mechanics and Materials (Volume 577)

Pages:

824-827

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.577.824

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Online since:

July 2014

Authors:

Wu Sheng Wang*, Zong Yi Hou

Keywords:

Analysis Technique, Difference Inequality, Estimation, Gamma Function, Singular

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