Improved integral inequalities in n independent variables

Nonlinear Integral Inequalities in Two Independent Variables on Time Scales

Some Nonlinear Integral Inequalities in Two Independent Variables

It is well known that the integral inequalities involving functions of one and more than one independent variables which provide explicit bounds on unknown functions play a fundamental role in the development of the theory of differential equations. In the past few years, a number of integral inequalities had been established by many scholars, which are motivated by certain applications. For de...

ON SOME NEW RETARD INTEGRAL INEQUALITIES IN n INDEPENDENT VARIABLES AND THEIR APPLICATIONS

In this paper, we established some retard integral inequalities in n independent variables and by means of examples we show the usefulness of our results.

Some new generalized Gronwall-Bellman-type integral inequalities in two independent variables on time scales

*Correspondence: [email protected] School of Science, Shandong University of Technology, Zhangzhou Road 12, Zibo, Shandong 255049, China Abstract In this paper, some new Gronwall-Bellman-type integral inequalities in two independent variables on time scales are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions of dynamic equation...

Generalized Delay Integral Inequalities In Two Independent Variables On Time Scales

Abstract: In this paper, we discuss some new Gronwall-Bellman type delay integral inequalities in two independent variables on time scales, which contain arbitrary nonlinear items on unknown functions outside the integrals as well as inside the integrals. The inequalities established have different forms compared with the existing GronwallBellman type inequalities so far in the literature. As a...