Constantin integral inequalities on time scales

被引：2
|
作者：
Ferreira, Rui A. C. [1 ,2 ]
机构：
[1] Lusophone Univ Humanities & Technol, Fac Engn & Nat Sci, P-1749024 Lisbon, Portugal
[2] Univ Aveiro, Ctr Res Optimizat & Control CEOC, P-3800 Aveiro, Portugal
来源：
ARCHIV DER MATHEMATIK | 2009年 / 93卷 / 02期
关键词：
Integrodifferential equation; Dynamic equation; Inequalities; Time scale; PERTURBED DIFFERENTIAL-EQUATIONS;
D O I：
10.1007/s00013-009-0028-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We establish an integral inequality, on a so called time scale, related to those appearing in Constantin (J. Math. Anal. Appl. 197 (1996), 855-863) and Yang and Tan (JIPAM J. Inequal. Pure Appl. Math. 8 (2007), No. 2, Art 57). Our result can be used to obtain estimates for solutions of certain dynamic equations. Moreover, the bounds obtained in this paper are sharper than those known previously in the literature.
引用
收藏
页码：153 / 163
页数：11
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