Causal difference equations with upper and lower solutions in the reverse order

被引：0

作者：

Wang, Wen-Li ^{[1
]}

Tian, Jing-Feng ^{[2
]}

机构：

[1] China Univ Geosci, Great Wall Coll, Dept Basic Course, Baoding, Peoples R China

[2] North China Elect Power Univ, Coll Sci & Technol, Baoding, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 1期

关键词：

Upper and lower solutions method; Causal operators; Extremal solutions; Coupled extremal quasi-solutions; BOUNDARY-VALUE-PROBLEMS; MONOTONE ITERATIVE TECHNIQUE; EXISTENCE; OPERATORS;

D O I：

10.1186/s13662-019-2078-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to studying the existence conditions for difference equations involving causal operators in the presence of upper and lower solutions in the reverse order. To this end, we prove some new comparison theorems and develop the upper and lower solutions method. Our results improve and extend some relevant results in difference equations. Two examples are given to illustrate the obtained results.

引用

页数：15

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