A note on comparison results with positive linear operators

Advances in Difference Equations

Meiping Yao¹  Aimin Zhao² 

[1] School of Mathematical Sciences, Shanxi University, Taiyuan, People’s Republic of China

关键词: positive linear operator;    comparison results;    difference inequality;    boundary condition;    34A37;    34B37;   

DOI  :  10.1186/s13662-015-0584-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Recently, Jankowski (Appl. Math. Comput. 218:2549-2557, 2011; Appl. Math. Comput. 219:9348-9355, 2013) established four existence results for four difference equations with causal operators. These results are based on four comparison results, respectively. However, the comparison results in the above papers contain inaccuracies. In this paper, we will establish four new comparison results which correct and supplement the comparison results in the above papers. Two examples are given to illustrate our results.

【 授权许可】

CC BY