Nonlinear Iterated Difference Inequalities

Abstract:

Motivated by Pachpatte difference inequalities and Abdeldaim integral inequalities, this paper establishes two generalized iterated difference inequalities, which consist of multiple iterated sums and contain both linear terms and nonlinear terms inside the sums. We obtain two new results which provide explicit bounds on unknown functions by difference inequality technique. The inequalities given here can be used as tools in the study of boundedness, uniqueness, stability and boundary value problem of a difference equation, which are important tools in studying of natural science, engineering technology, and the laws of social economic development.

• Periodical: Applied Mechanics and Materials (Volumes 226-228)
• Pages: 2231-2234
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.226-228.2231
• Online since: November 2012
• Authors: Wu Sheng Wang, Lian Juan Zhao
• Keywords: Difference Inequality, Estimation, Inequality Technique, Iterated Difference

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