PACHPATTE'S TYPE INTEGRAL INEQUALITIES WITH INTEGRAL IMPULSES

被引：4
|
作者：
Thiramanus, Phollakrit [1 ]
Tariboon, Jessada [1 ]
Ntouyas, Sotiris K. [2 ]
机构：
[1] King Mongkuts Univ Technol North Bangkok, Fac Sci Appl, Dept Math, Bangkok 10800, Thailand
[2] Univ Ioannina, Dept Math, GR-45110 Ioannina, Greece
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2014年 / 8卷 / 04期
关键词：
Impulsive integral inequalities; impulsive differential equations; integral jump; Pachpatte's integral inequalities; FUNCTIONAL-DIFFERENTIAL EQUATIONS; GRONWALL-LIKE INEQUALITY; DISCONTINUOUS FUNCTIONS; DELAY; STABILITY; SYSTEMS;
D O I：
10.7153/jmi-08-63
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of the present paper is to establish some new Pachpatte's type integral inequalities with integral impulses, which provide explicit bounds on unknown functions and extend some results of Pachpatte's inequalities. These inequalities can be used as basic tools to investigate the qualitative properties of certain impulsive differential equations and impulsive integral equations.
引用
收藏
页码：839 / 853
页数：15
相关论文
共 50 条
  • [1] GENERALIZATIONS OF PACHPATTE'S INTEGRAL AND DISCRETE INEQUALITIES
    杨恩浩
    Annals of Applied Mathematics, 1997, (02) : 180 - 188
  • [2] Gronwall, Bellman and Pachpatte type integral inequalities with applications
    Kim, Young-Ho
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : E2641 - E2656
  • [3] Hilbert-Pachpatte type general integral inequalities
    Anastassiou, George A.
    APPLICABLE ANALYSIS, 2007, 86 (08) : 945 - 961
  • [4] New Hilbert-Pachpatte type integral inequalities
    Handley, GD
    Koliha, JJ
    Pecaric, JE
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 257 (01) : 238 - 250
  • [5] ON GENERALIZATION OF PACHPATTE TYPE INEQUALITIES FOR CONFORMABLE FRACTIONAL INTEGRAL
    Usta, F.
    Sarikaya, M. Z.
    TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2018, 8 (01): : 106 - 113
  • [6] Hilbert-Pachpatte type fractional integral inequalities
    Anastassiou, George A.
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (7-8) : 1539 - 1550
  • [7] ON NEW HILBERT-PACHPATTE TYPE INTEGRAL INEQUALITIES
    Zhao, C. -J.
    Cheung, W. -S.
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04): : 1271 - 1282
  • [8] On Hilbert-Pachpatte Multiple Integral Inequalities
    Zhao, Changjian
    Chen, Lian-ying
    Cheung, Wing-Sum
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [9] Gronwall-Bellman and Pachpatte type double integral inequalities with applications
    Hussain, Sabir
    Shahadat, Shazia
    Rafeeq, Sobia
    PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2023, 55 (7-8): : 291 - 311
  • [10] On Hilbert-Pachpatte Multiple Integral Inequalities
    Changjian Zhao
    Lian-ying Chen
    Wing-Sum Cheung
    Journal of Inequalities and Applications, 2010
12345