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
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 50 条
  • [1] Gronwall and Bihari type inequalities on time scales
    Ozgun, SA
    Zafer, A
    Kaymakcalan, B
    ADVANCES IN DIFFERENCE EQUATIONS-BOOK, 1997, : 481 - 490
  • [2] SOME GRONWALL TYPE INEQUALITIES ON TIME SCALES
    Li, Wei Nian
    Sheng, Weihong
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2010, 4 (01): : 67 - 76
  • [3] Some Delay Gronwall Type Inequalities on Time Scales
    Wei-Nian LI
    Acta Mathematicae Applicatae Sinica, 2015, 31 (04) : 1103 - 1114
  • [4] Some Delay Gronwall Type Inequalities on Time Scales
    Li, Wei-Nian
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2015, 31 (04): : 1103 - 1114
  • [5] Some delay Gronwall type inequalities on time scales
    Wei-Nian Li
    Acta Mathematicae Applicatae Sinica, English Series, 2015, 31 : 1103 - 1114
  • [6] Generalizations of Gronwall-Bihari inequalities on time scales
    Ferreira, Rui A. C.
    Torres, Delfim F. M.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2009, 15 (06) : 529 - 539
  • [7] Gronwall-OuIang-Type Integral Inequalities on Time Scales
    Liu, Ailian
    Bohner, Martin
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [8] Gronwall-type integral inequalities with impulses on time scales
    Y Peng
    Ying Kang
    Mingxiu Yuan
    Rongfeng Huang
    Liu Yang
    Advances in Difference Equations, 2011
  • [9] Gronwall-OuIang-Type Integral Inequalities on Time Scales
    Ailian Liu
    Martin Bohner
    Journal of Inequalities and Applications, 2010
  • [10] Gronwall-type integral inequalities with impulses on time scales
    Peng, Y.
    Kang, Ying
    Yuan, Mingxiu
    Huang, Rongfeng
    Yang, Liu
    ADVANCES IN DIFFERENCE EQUATIONS, 2011,