Research Article Some Nonlinear Integral Inequalities on Time Scales
نویسندگان
چکیده
The theory of time scales was introduced by Hilger [1] in his Ph.D. thesis in 1988 in order to unify continuous and discrete analysis. Recently, many authors have extended some fundamental integral inequalities used in the theory of differential and integral equations on time scales. For example, we refer the reader to the literatures [2–8] and the references cited therein. In this paper, we investigate some nonlinear integral inequalities on time scales, which unify and extend some inequalities established by Pachpatte in [9]. The obtained inequalities can be used as important tools in the study of certain properties of dynamic equations on time scales.
منابع مشابه
Some nonlinear delay integral inequalities on time scales arising in the theory of dynamics equations
* Correspondence: [email protected] School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong, 273165, China Full list of author information is available at the end of the article Abstract In this paper, some new nonlinear delay integral inequalities on time scales are established, which provide a handy tool in the research of boundedness of unknown functions in delay dynamic equatio...
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