Some new nonlinear integral inequalities and their applications in the qualitative analysis of differential equations

Abstract

Abstract In this paper, some new nonlinear integral inequalities are established, which provide a handy tool for analyzing the global existence and boundedness of solutions of differential and integral equations. The established results generalize the main results in Sun (J. Math. Anal. Appl. 301, 265-275, 2005), Ferreira and Torres (Appl. Math. Lett. 22, 876-881, 2009), Xu and Sun (Appl. Math. Comput. 182, 1260-1266, 2006) and Li et al. (J. Math. Anal. Appl. 372, 339-349 2010). MSC 2010: 26D15; 26D10

Keywords

• integral inequality
• global existence
• integral equation
• differential equation
• bounded