Nonlinear integral inequalities on time scales with 'maxima'

被引：0
作者：
Thiramanus, Phollakrit [1 ]
Tariboon, Jessada [1 ]
Ntouyas, Sotiris K. [2 ]
机构：
[1] King Mongkuts Univ Technol, Nonlinear Dynam Anal Res Ctr, Dept Math, Fac Sci Appl, Bangkok 10800, Thailand
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
nonlinear integral inequality; time scales; maxima; dynamic equation; differential equations with 'maxima'; EXPLICIT BOUNDS; DELAY;
D O I：
10.1186/1029-242X-2014-255
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, some new types of nonlinear integral inequalities on time scales with 'maxima', which provide explicit bounds on unknown functions, are established. The importance of these integral inequalities is given by their wide applications in qualitative investigations of differential equations with 'maxima'. An example is also presented to illustrate our results.
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页数：20
相关论文
共 24 条
  • [1] Inequalities on time scales: A survey
    Agarwal, R
    Bohner, M
    Peterson, A
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (04): : 535 - 557
  • [2] Bainov DD, 2011, MONOGR TXB PURE APPL, P1
  • [3] Bohner M., 2001, Dynamic Equations on Time Scales: An Introduction with Applications, DOI DOI 10.1007/978-1-4612-0201-1
  • [4] Some Delay Integral Inequalities on Time Scales and Their Applications in the Theory of Dynamic Equations
    Feng, Qinghua
    Meng, Fanwei
    Zhang, Yaoming
    Zhou, Jinchuan
    Zheng, Bin
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [5] 1 Generalized Gronwall-Bellman-type delay dynamic inequalities on time scales and their applications
    Feng, Qinghua
    Zheng, Bin
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (15) : 7880 - 7892
  • [6] Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations
    Feng, Qinghua
    Meng, Fanwei
    Zhang, Yaoming
    Zheng, Bin
    Zhou, Jinchuan
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [7] Gronwall-Bellman type nonlinear delay integral inequalities on time scales
    Feng, Qinghua
    Meng, Fanwei
    Zheng, Bin
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 382 (02) : 772 - 784
  • [8] Nonlinear integral inequalities involving maxima of unknown scalar functions
    Henderson, Johnny
    Hristova, Snezhana
    [J]. MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) : 871 - 882
  • [9] Hilger S., 1990, Result math, V18, P18, DOI [DOI 10.1007/BF03323153, 10.1007/BF03323153]
  • [10] Hristova S., 2011, ADV DYNAMICAL SYSTEM, V6, P57
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