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

Journal of inequalities and applications

Bin Zheng¹ 

关键词: integral inequality;    global existence;    integral equation;    differential equation;    bounded;   

DOI  :  10.1186/1029-242X-2011-20

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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

【 授权许可】

CC BY