BOUNDS FOR SOLUTIONS TO RETARDED NONLINEAR DOUBLE INTEGRAL INEQUALITIES

被引:0
|
作者
Hussain, Sabir [1 ]
Riaz, Tanzila [1 ]
Ma, Qing-Hua [2 ]
Pecaric, Josip [3 ]
机构
[1] Univ Engn & Technol, Dept Math, Lahore, Pakistan
[2] Guangdong Univ Foreign Studies, Dept Appl Math, Guangzhou 510420, Guangdong, Peoples R China
[3] Univ Zagreb, Fac Text Technol, Zagreb 10000, Croatia
关键词
Integral inequalities; Gronwall integral inequality; integro-differential equation; double integral; GRONWALL-LIKE INEQUALITY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We present bounds for the solution to three types retarded nonlinear integral inequalities in two variables. By doing this, we generalizing the results presented in [3, 12]. To illustrate our results, we present some applications.
引用
收藏
页数:18
相关论文
共 50 条
  • [41] On certain new nonlinear retarded integral inequalities for functions in two variables and their applications
    Ma, Qing-Hua
    Pecaric, Josip
    JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (01) : 121 - 136
  • [42] Some new generalized retarded nonlinear integral inequalities with iterated integrals and their applications
    Wang, Wu-Sheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [43] New Retarded Integral Inequalities with Applications
    Ravi P. Agarwal
    Young-Ho Kim
    S. K. Sen
    Journal of Inequalities and Applications, 2008
  • [44] ON SOME RETARDED INTEGRAL INEQUALITIES AND APPLICATIONS
    Jing Shao1
    2. Dept. of Math.
    Annals of Applied Mathematics, 2010, (03) : 314 - 321
  • [45] SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
    Kim, Young Jin
    JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS, 2016, 23 (02): : 181 - 199
  • [46] ON BIVARIATE RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
    Usta, Fuat
    Sarikaya, Mehmet Zeki
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2019, 34 (03): : 553 - 561
  • [47] Integral inequalities for retarded Volterra equations
    Lipovan, Olivia
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 322 (01) : 349 - 358
  • [48] EXPLICIT BOUNDS OF UNKNOWN FUNCTION OF SOME NEW WEAKLY SINGULAR RETARDED INTEGRAL INEQUALITIES WITH APPLICATIONS
    Luo, Ricai
    Wang, Wu-Sheng
    Hou, Zongyi
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (01): : 235 - 248
  • [49] New retarded integral inequalities with applications
    Agarwal, Ravi P.
    Kim, Young-Ho
    Sen, S. K.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2008, 2008 (1)
  • [50] INTEGRAL BOUNDS FOR SOLUTIONS OF NONLINEAR REACTION-DIFFUSION EQUATIONS
    HORGAN, CO
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1977, 28 (02): : 197 - 204