LINEAR INTEGRAL INEQUALITIES INVOLVING MAXIMA OF THE UNKNOWN SCALAR FUNCTIONS

被引：0
作者：
Hristova, Snezhana G. [1 ]
Stefanova, Kremena V. [1 ]
机构：
[1] Paisij Hilendarski Univ Plovdiv, BG-4000 Plovdiv, Bulgaria
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2010年 / 4卷 / 04期
关键词：
Integral inequalities; maxima; scalar functions of one variable; differential equations with "maxima; EXPLICIT BOUNDS; 2; VARIABLES; EQUATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with linear integral inequalities that include the maximum of the unknown scalar function of one variable. The considered inequalities are generalizations of the classical integral inequality of Gronwall-Bellman. The importance of these integral inequalities is defined by their wide applications in qualitative investigations of differential equations with "maxima" and it is illustrated by some direct applications.
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页码：523 / 535
页数：13
相关论文
共 13 条
  • [1] ON THE FUNCTIONAL-DIFFERENTIAL EQUATIONS WITH MAXIMUMS
    ANGELOV, VG
    BAINOV, DD
    [J]. APPLICABLE ANALYSIS, 1983, 16 (03) : 187 - 194
  • [2] Bainov D.D., 1989, INTEGRAL INEQUALITIE
  • [3] Buse C, 2005, MATH INEQUAL APPL, V8, P347
  • [4] NEW GRONWALL-OU-IANG TYPE INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
    Cho, Yeol Je
    Kim, Young-Ho
    Pecaric, Josip
    [J]. ANZIAM JOURNAL, 2008, 50 (01) : 111 - 127
  • [5] Hadeler K. P., 1979, DELAY EQUATIONS BIOL
  • [6] HRISTOVA S. G., 2000, INT J APPL MATH, V4, P231
  • [7] On some new integral inequalities for functions in one and two variables
    Kim, YH
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2005, 21 (02) : 423 - 434
  • [8] On certain new nonlinear retarded integral inequalities for functions in two variables and their applications
    Ma, Qing-Hua
    Pecaric, Josip
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (01) : 121 - 136
  • [9] EXPLICIT BOUNDS ON SOME NEW NONLINEAR RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
    Ma, Qing-Hua
    Pecaric, Josip
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2009, 13 (01): : 287 - 306
  • [10] MISHKIS AD, 1977, RUSS MATH SURV, V32, P181
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