On Some New Impulsive Integral Inequalities

被引:37
作者
Li, Jianli [1 ]
机构
[1] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1155/2008/312395
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We establish some new impulsive integral inequalities related to certain integral inequalities arising in the theory of differential equalities. The inequalities obtained here can be used as handy tools in the theory of some classes of impulsive differential and integral equations. Copyright (C) 2008 Jianli Li. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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页数:8
相关论文
共 8 条
[1]  
Laksmikantham V., 1989, SERIES MODERN APPL M, V6
[2]   Periodic boundary value problems for delay differential equations with impulses [J].
Li, Jianli ;
Shen, Jianhua .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 193 (02) :563-573
[3]   The method of Lyapunov functionals and exponential stability of impulsive systems with time delay [J].
Liu, Xinzhi ;
Wang, Qing .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 66 (07) :1465-1484
[4]   On some new inequalities related to a certain inequality arising in the theory of differential equations [J].
Pachpatte, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2000, 251 (02) :736-751
[5]   ON SOME NEW INEQUALITIES RELATED TO CERTAIN INEQUALITIES IN THE THEORY OF DIFFERENTIAL-EQUATIONS [J].
PACHPATTE, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (01) :128-144
[6]  
Pachpatte BG, 2002, MATH INEQUAL APPL, V5, P649
[7]   An impulsive nonlinear singular version of the Gronwall-Bihari inequality [J].
Tatar, Nasser-Eddine .
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2006, 2006 (1)
[8]  
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