[PDF] Top 20 On some explicit bounds on certain retarded nonlinear integral inequalities with applications

... In some situations, we need to study some delay nonlinear integral inequalities, so, the inequalities proved in [5] are not directly applicable in the study of delay ... See full document

... new explicit bounds for the unknown functions concerned in some new Gronwall-type ...for applications, we have presented one example, in which the boundedness, uniqueness, and continuous ... See full document

... establish some new retarded weakly singular integral inequalities of Gronwall-Bellman type for discontinuous functions, which generalize some known weakly singular and impulsive ... See full document

... establish some new retarded nonlinear sum- difference inequalities with two independent variables, which provide explicit bounds on unknown ...These inequalities given ... See full document

... and integral inequalities occupy a very privileged position in the theory of differential and integral ...years nonlinear integral inequalities have received considerable ... See full document

... Integral inequalities that give explicit bounds on unknown functions provide a very useful and important device in the study of many qualitative as well as quantitative properties of solutions ... See full document

... Integral inequalities involving functions of one independent variable, which provide explicit bounds on unknown functions play a fundamental role in the development of the theory of ... See full document

... established some new retarded Volterra–Fredholm type integral inequalities on time scales, which extend some known inequalities and provide a handy tool for deriving ... See full document

... differential inequalities have turned out to be important devices in the investi- gation of the differential and integral equations that happen in nature or are built by several mathematicians (see ...and ... See full document

... Dynamic inequalities on time scales has applications in various ...and inequalities on time scales, its properties and applications [1, 5, 6, 7, 8, 9, 10, 11, 12, 13, ...diverse ... See full document

... such inequalities with singular kernel see ...pointwise explicit bounds on solutions of more general weakly singular integral inequalities of the Volterra type, and later Ma and ... See full document

... Integral inequalities involving functions of one independent variable, which provide explicit bounds on unknown functions play a fundamental role in the development of the theory of lin- ear ... See full document

... Various generalizations of Gronwall inequality [1,2] are fundamental tools in the study of existence, uniqueness, boundedness, stability and other qualitative properties of solu- tions of differential equations, ... See full document

... extend certain results that were proved in [–] to obtain new gen- eralizations of formerly famous Gronwall-Bellman-Pachpatte-type ...our inequalities, but also the composite functions of unknown function ... See full document

... new nonlinear integral inequalities of Gronwall type for retarded functions are established, which extend the results Lipovan 2003 and Pachpatte ...These inequalities can be used as ... See full document

... Gronwall-Bellman inequalities [, ] can be used as important tools in the study of exis- tence, uniqueness, boundedness, stability, and other qualitative properties of solutions of differential equations, ... See full document

... investigate some new integral inequalities on time scales, which provide explicit bounds on unknown ...extend some integral inequalities and their corresponding ... See full document

... of inequalities for a two-dimensional case, more attention has also been paid to weakly singular integral inequalities in two variables and their applications to the partial differential ... See full document

... investigate some delay integral inequalities on time scales by using Gronwall’s inequality and comparison ...extend some delay integral inequalities and their corresponding ... See full document

... establish some new integral inequalities of Gronwall type in- volving functions of two independent variables which provide explicit bounds on unknown func- ...The inequalities ... See full document