Gronwall inequalities on time scales

被引:0
作者
Wong, FH
Yeh, CC
Hong, CH
机构
[1] Natl Taipei Teachers Coll, Dept Math, Taipei 10659, Taiwan
[2] Lunghwa Univ Sci & Technol, Dept Informat Management, Taoyuan 33306, Taiwan
[3] Natl Taipei Univ Technol, Gen Educ Ctr, Taipei 106, Taiwan
来源
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2006年 / 9卷 / 01期
关键词
Gronwall inequality; LaSalle's inequality and Bihari's inequality; time scale;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The authors use several different methods to extend Gronwall's inequality to more general cases on a time scale. Two applications are also given.
引用
收藏
页码:75 / 86
页数:12
相关论文
共 17 条
[1]   Inequalities on time scales: A survey [J].
Agarwal, R ;
Bohner, M ;
Peterson, A .
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (04) :535-557
[2]  
[Anonymous], 1996, DYNAMIC SYSTEMS MEAS
[3]  
Bainov D., 1992, Integral Inequalities and Applications. Mathematics and Its Applications
[4]  
Bihari I., 1956, ACTA MATH ACAD SCI H, V7, P81, DOI DOI 10.1007/BF02022967
[5]  
Bohner M., 2001, Dynamic Equations on Time Scales: AnIntroduction With Applications, DOI DOI 10.1007/978-1-4612-0201-1
[6]   SOME GENERALIZATIONS OF BELLMAN-BIHARI INTEGRAL INEQUALITIES [J].
DHONGADE, UD ;
DEO, SG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1973, 44 (01) :218-226
[7]  
Gronwall TH, 1918, ANN MATH, V20, P292
[8]  
Hilger S., 1990, Results Math, V18, P18, DOI [DOI 10.1007/BF03323153, 10.1007/BF03323153]
[9]   EXISTENCE AND COMPARISON RESULTS FOR DYNAMIC-SYSTEMS ON A TIME SCALE [J].
KAYMAKCALAN, B .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 172 (01) :243-255
[10]  
KAYMAKCALAN B, 1997, P 2 INT VESZPR, P481