


Paper's Title:
Some New Nonlinear IntegroDifferential Inequalities of GronwallBellmanPachpatte Type
Author(s):
A. ABDELDAIM
Department of Mathematics and Computer
Sciences,
Faculty of Science,
Port Said University, Port Said,
EGYPT.
Department of Mathematics,
Faculty of Science and Humanities,
Shaqra University, Dawadmi,
SAUDI ARABIA.
Email:
ahassen@su.edu.sa
URL:
http://faculty.ksu.edu.sa/DRABDELDAIM/Pages/Home.aspx
Abstract:
In this paper we establish some new nonlinear integrodifferential inequalities of GronwallBellmanPachpatte 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), 7786]. The inequalities obtained here can be used in the theory of some new classes of nonlinear integrodifferential equations. Some applications are also given to illustrate the usefulness of our results.
Paper's Title:
Estimation for Bounded Solutions of Some Nonlinear Integral Inequalities with Delay in Several Variables
Author(s):
Smakdji Mohamed Elhadi, Denche Mouhamed and Khellaf Hassane
Department of Mathematics
University of Frères Mentouri
PO Box 25000, Ain Elbay,
Constantine,
Algeria.
Email: khellafhassane@umc.edu.dz
Abstract:
In this paper, some new nonlinear retarded integral inequalities of GronwallBellman type for functions of two and nindependents variables are investigated. The derived results can be applied in the study of differentialintegral equations with time delay. An example is given to illustrate the application of our results.
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