A retarded integral inequality and its applications

An Integral Inequality and Its Applications

A Hilbert-type fractal integral inequality and its applications

By using thefractal theory and the methods of weight function, a Hilbert-type fractal integral inequality and its equivalent form are given. Their constant factors are proved being the best possible, and their applications are discussed briefly.

On a Generalized Retarded Integral Inequality with Two Variables

New Retarded Integral Inequalities with Applications

Some new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan 2003 and Pachpatte 2004 . These inequalities can be used as basic tools in the study of certain classes of functional differential equations as well as integral equations. A existence and a uniqueness on the solution of the functional differential equation involving...

Nonlinear Retarded Integral Inequalities of Gronwall–bellman Type and Applications

The aim of this paper is to establish some new nonlinear retarded integral inequalities of Gronwall-Bellman type. More accurately we extend certain results which have been proved in El-Owaidy et. al, [12] and Abdeldaim and Yakout [2] to some nonlinear retarded integral inequalities. We also give some applications to estimate the solutions of some nonlinear retarded differential equations to ill...