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6: Paper Source PDF document

Paper's Title:

Some New Nonlinear Integro-Differential Inequalities of Gronwall-Bellman-Pachpatte Type



Department of Mathematics and Computer Sciences,
Faculty of Science,
Port Said University, Port Said,

Department of Mathematics,
Faculty of Science and Humanities,
Shaqra University, Dawadmi,



In this paper we establish some new nonlinear integro-differential inequalities of Gronwall-Bellman-Pachpatte type for function of one independent variable. The purpose of this paper is to extend certain results which proved by Pachpatte in [On some fundamental integrodifferential and integral inequalities, An. Sti. Univ. Al. I. Cuza, Iasi, Vol.23 (1977), 77-86]. The inequalities obtained here can be used in the theory of some new classes of nonlinear integro-differential equations. Some applications are also given to illustrate the usefulness of our results.

2: Paper Source PDF document

Paper's Title:

Estimation for Bounded Solutions of Some Nonlinear Integral Inequalities with Delay in Several Variables


Smakdji Mohamed Elhadi, Denche Mouhamed and Khellaf Hassane

Department of Mathematics
University of Frères Mentouri
PO Box 25000, Ain Elbay,


In this paper, some new nonlinear retarded integral inequalities of Gronwall-Bellman type for functions of two and n-independents variables are investigated. The derived results can be applied in the study of differential-integral equations with time delay. An example is given to illustrate the application of our results.

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