Generalized retarded integral inequalities

On Some New Retarded Nonlinear Integral Inequalities and Their Applications

In this paper we present some new generalized retarded nonlinear integral inequalities of Gronwall-Bellman type. Using integral and differential skills, some new results which provide explicit bounds on unknown functions in integral inequalities are investigated. Some applications are also presented to illustrate the usefulness of some of our results.

Some new generalized retarded inequalities for discontinuous functions and their applications

*Correspondence: [email protected] 1School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, P.R. China Full list of author information is available at the end of the article Abstract In this paper, some new generalized retarded inequalities for discontinuous functions are discussed, which are effective in dealing with the qualitative theory of some impulsive differential ...

Some retarded nonlinear integral inequalities and their applications in retarded differential equations

Correspondence: wang4896@126. com Department of Mathematics, Hechi University, Yizhou, Guangxi 546300, P. R. China Abstract In this article, we discuss some generalized retarded nonlinear integral inequalities, which not only include nonlinear compound function of unknown function but also include retard items, and give upper bound estimation of the unknown function by integral inequality techn...

Some new generalized retarded nonlinear integral inequalities with iterated integrals and their applications

On Some New Nonlinear Retarded Integral Inequalities with Iterated Integrals and Their Applications

Some new nonlinear retarded integral inequalities of Gronwall-like type are established, which mainly generalized some results given by Cho, Dragomir and Kim (J. Korean Math. Soc. 43 (2006), No. 3, pp. 563–578) and can be used in the analysis of various problems in the theory of certain classes of differential equations and integral equations. Applications examples are also indicated.