Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses

被引：38
|
作者：
Agarwal, Ravi [1 ]
O'Regan, D. [2 ]
Hristova, S. [3 ]
机构：
[1] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[2] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland
[3] Paisij Hilendarski Univ Plovdiv, Dept Appl Math, Plovdiv, Bulgaria
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 298卷
关键词：
Non-instantaneous impulses; Lower solution; Upper solutions; Monotone iterative technique; BOUNDARY-VALUE-PROBLEMS; SYSTEMS;
D O I：
10.1016/j.amc.2016.10.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An algorithm for constructing two monotone sequences of upper and lower solutions of the initial value problem for a scalar nonnlinear differential equation with non instantaneous impulses is given. The impulses start abruptly at some points and their action continue on given finite intervals. We prove that the functional sequences are convergent and their limits are minimal and maximal solutions of the considered problem. An example is given to illustrate the results. (C) 2016 Elsevier Inc. All rights reserved.
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页码：45 / 56
页数：12
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