%0 Journal Article
%T A Generalized Pachpatte Type |Inequality on Time Scales and Application to a Boundary Value Problem<br>时标上的推广的Pachpatte型不等式及其在边值问题中的应用
%A WANG Wu-Sheng
%A ZHOU Xiao-Liang
%A <br>王五生
%A 周效良
%J 数学物理学报(A辑)
%D 2012
%I 
%X In this paper, using a technique of monotonization, the authors  investigate a generalized Pachpatte type integral inequality on time scales, which includes both a non-constant term outside the integrals and three distinct nonlinear integrals without assumption of monotonicity. The result not only unifies some continuous inequalities and their discrete analogues but also extends some known dynamic inequalities on time scales. An application of the result to the estimation of a solution of boundary value problem on time scales is given.
%K Inequalitieszz
%K Monotonizationzz
%K Time scaleszz
%K 
%K Boundary value problemzz<br>不等式
%K 单调化
%K 时标
%K 边值问题
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=46DBF3E8FC2736F093822D79EED05F80&yid=99E9153A83D4CB11&vid=9971A5E270697F23&iid=0B39A22176CE99FB&sid=B79ACB6EBBFC9730&eid=09AA1448D1EAF9C1&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=0