Upper and Lower Bounds of Unknown Functions in Several Nonlinear Integral Inequalities in Engineering

Abstract:

In this paper, we discuss the upper and lower bounds of unknown functions in several nonlinear integral inequalities. Firstly, we give out the upper estimation of unknown function of a nonlinear integral inequality. Secondly, we give out the lower estimation of unknown function of another nonlinear integral inequality. Finally, we discuss the upper and lower bounds of a linear integral inequality by adopting novel analysis techniques, such as change of variable, amplification method, differential and integration.

• Periodical: Advanced Materials Research (Volumes 1008-1009)
• Pages: 1517-1520
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.1008-1009.1517
• Online since: August 2014
• Authors: Li Mian Zhao, Ji Ting Huang, Wu Sheng Wang
• Keywords: Constant Variation Formula, Integral Inequality, Lower Bounds, Piecewise Continuous Function, Upper

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