On some new integral inequalities of Gronwall–Bellman–Pachpatte type

Estimation of Unknown Function of a Class of Nonlinear Integral Inequality

“…In this paper, on the basis of [3,4,5], we discuss a class of nonlinear weakly singular integral inequality…”

“…During the past few years, some investigators have established a lot of useful and interesting integral inequalities in order to achieve various goals; see [3][4][5][6][7][8][9][10] and the references cited therein. In this paper, on the basis of [3,4,5], we discuss a class of nonlinear weakly singular integral inequality…”

Integral Inequalities of Gronwall-Bellman Type

“…Some applications of this result can be used to the study of existence, uniqueness theory of differential equations and the stability of the solution of linear and nonlinear differential equations. During the past few years, several authors have established several Gronwall type integral inequalities in one or two independent real variables [1]- [15]. Of course, such results have application in the theory of partial differential equations and Volterra integral equations.…”

On Some New Nonlinear Integral Inequalities of Gronwall-Bellman Type

“…These inequalities are directly useful in studying some properties of solutions of ordinary differential equations. The aim of this paper is to extend certain results which have been proved in [1] and [7] to obtain new generalizations for some former famous inequalities, which can be used as handy tools to study the qualitative as well as the quantitative properties of solutions of some nonlinear ordinary differential and integral equations. …”