Discrete inequalities of the Gronwall-Bellman type in n independent variables
نویسندگان
چکیده
منابع مشابه
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...
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* Correspondence: [email protected] School of Science, Shandong University of Technology, Zibo, 255049 Shandong, China Full list of author information is available at the end of the article Abstract In this paper, some new nonlinear Gronwall-Bellman-type discrete inequalities are established, which can be used as a handy tool in the research of qualitative and quantitative properties of solutions ...
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Discrete inequalities, in particular the discrete analogues of the Gronwall–Bellman inequality, have been extensively used in the analysis of finite difference equations. The aim of the present paper is to establish some fractional difference inequalities of Gronwall–Bellman type which provide explicit bounds for the solutions of fractional difference equations.
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In this paper we shall establish some new discrete inequalities of the Gronwall type in N-independent variables. They will have many applications for finite difference equations involving several independent variables and for numerical analysis. Their consequence for the case of N 3, generalizes all of the known theorems obtained by Pachpatte and Singare in [I]. An example, to which those resul...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1985
ISSN: 0022-247X
DOI: 10.1016/0022-247x(85)90051-4