On Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type

El-Owaidy, Hassan Mostafa;Ragab, Abdelwahab Abbas;Eldeeb, Ahmed Abdel-Moneim;Abuelela, Waleed Mostafa Kamal

  • Received : 2012.12.28
  • Accepted : 2013.04.15
  • Published : 2014.12.23


In this paper, we establish some new nonlinear integral inequalities of Gronwall-Bellman type. These inequalities generalize some famous inequalities which can be used in applications as handy tools to study the qualitative as well as quantitative properties of solutions of some nonlinear ordinary differential and integral equations. More accurately we extend certain results which have been proved in A. Abdeldaim and M. Yakout [1] and H. El-Owaidy, A. A. Ragab, A. Abdeldaim [7] too.


Gronwall-Bellman inequality;integral inequalities;ordinary differential equations;integral equations


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