Generalized Gronwall-Bellman-type discrete inequalities and their applications

Abstract

Abstract In this paper, some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of certain difference equations. The established results generalize some of the recent results obtained by Cheung and Ma, respectively. Mathematics Subject Classification (2010) 26D15

Keywords

• Discrete inequalities
• Difference equations
• Explicit bounds
• Qualitative analysis
• Quantitative analysis