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Generalized Nonlinear Volterra-Fredholm Type Sum-Difference Inequality

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Abstract:

The main objective of this paper is to establish a class of new nonlinear Volterra-Fredholm type difference inequality, where the inequalities consist of multiple iterated sums. By technique of change of variable, difference and summation and inverse function, upper bound estimations of unknown functions are given. The derived results can be applied in the study of solutions of Volterra-Fredholm type difference equations.

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Periodical:

Applied Mechanics and Materials (Volumes 519-520)

Pages:

887-890

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.519-520.887

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Online since:

February 2014

Authors:

Yong Zhou Qin*, Wu Sheng Wang

Keywords:

Analysis Technique, Estimation of Unknown Function, Volterra-Fredholm Type Difference Inequality

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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