KETAKSAMAAN INTEGRAL GRONWALL-BELLMAN UNTUK FUNGSI BERPANGKAT

Advanced Gronwall-Bellman-Type Integral Inequalities and Their Applications

In this paper, some new nonlinear generalized Gronwall-Bellman-Type integral inequalities with mixed time delays are established. These inequalities can be used as handy tools to research stability problems of delayed differential and integral dynamic systems. As applications, based on these new established inequalities, some p-stable results of a integro-differential equation are also given. T...

Nonlinear Gronwall–bellman Type Integral Inequalities with Maxima

Integral inequalities with maxima of the unknown function are useful in the study of control theory. Known results were given for Gronwall-Bellman type integral inequalities with the maxima in the form of linear dependence on the unknown function with a single delay term. In this paper we consider a general form of nonlinear integral inequalities with the maxima and more than one delay terms. R...

Gronwall-Bellman-Type Integral Inequalities and Applications to BVPs

Chur-Jen Chen, Wing-Sum Cheung, and Dandan Zhao Department of Mathematics, Tunghai University, Taichung, Taiwan Correspondence should be addressed to Wing-Sum Cheung, [email protected] Received 9 May 2008; Revised 26 November 2008; Accepted 29 January 2009 Recommended by Alexander Domoshnitsky We establish some new nonlinear Gronwall-Bellman-Ou-Iang type integral inequalities with two variables. ...

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...

A New Generalized Gronwall-Bellman Type Inequality