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

<p>Abstract</p> <p>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...

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Bibliographic Details
Main Authors: Zheng Bin, Feng Qinghua
Format: Article
Language:English
Published: SpringerOpen 2011-01-01
Series:Journal of Inequalities and Applications
Subjects:
Online Access:http://www.journalofinequalitiesandapplications.com/content/2011/1/20
Description
Summary:<p>Abstract</p> <p>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. <b>301</b>, 265-275, 2005), Ferreira and Torres (Appl. Math. Lett. <b>22</b>, 876-881, 2009), Xu and Sun (Appl. Math. Comput. 182, 1260-1266, 2006) and Li et al. (J. Math. Anal. Appl. <b>372</b>, 339-349 2010).</p> <p><b>MSC 2010</b>: 26D15; 26D10</p>
ISSN:1025-5834
1029-242X