A new comparison principle and its application to nonlinear impulsive functional integro-differential equations

被引：0
作者：
Hou, Yingmin [1 ]
Zhang, Lihong [2 ]
Wang, Guotao [2 ]
机构：
[1] China Univ Petr, Coll Sci, Qingdao, Peoples R China
[2] Shanxi Normal Univ, Sch Math & Comp Sci, Linfen, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Comparison principle; Impulsive functional integro-differential equations; Monotone iterative technique; Upper and lower solutions; BOUNDARY-VALUE-PROBLEMS; ITERATIVE POSITIVE SOLUTIONS; DIFFERENTIAL-EQUATIONS; EXTREMAL SOLUTIONS; SUCCESSIVE ITERATIONS; EXISTENCE; UNIQUENESS; SYSTEMS; MODEL;
D O I：
10.1186/s13662-018-1849-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, we first create a new comparison principle for a nonlinear impulsive boundary problem involving different deviating arguments. Then we employ the new result and iterative method to study the existence of the max-minimal solution of a second-order impulsive functional integro-differential equation. The results achieved in this paper are more general and complement many previously known results.
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页数：13
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