Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses
Monotone iterative technique for the initial value problem for differential equations with non-instantaneous impulses
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DOI：
10.1016/j.amc.2016.10.009
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发表时间：
2017-04-01
影响因子：
4
通讯作者：
Hristova, S.
中科院分区：
文献类型：
--
作者：
Agarwal, Ravi;O'Regan, D.;Hristova, S.
给出了一类具有非瞬时脉冲的标量非线性微分方程初值问题上下解的两个单调序列的构造算法。脉冲在某些点突然开始，它们的作用在给定的有限间隔内继续。我们证明了函数序列是收敛的，并且它们的极限是所考虑问题的最小解和最大解。文中给出了一个算例来说明结果。(C)2016 Elsevier Inc.保留所有权利。
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.