Affine-periodic solutions for higher order differential equations

被引：4
|
作者：
Xu, Fei [1 ]
Yang, Xue [1 ,2 ]
机构：
[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
[2] Northeast Normal Univ, Ctr Math & Interdisciplinary Sci, Changchun 130024, Jilin, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 105卷
关键词：
Affine-periodic solutions; Higher order differential equations; Extremum principle; Lower and upper solutions method; Monotone iterative technique;
D O I：
10.1016/j.aml.2020.106341
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is a continuous work of Liu et al. (2017, first order) and Xu et al. (2019, second order) for affine-periodic solutions to ordinary differential equations. It is a hard problem to obtain satisfied extremum principles. In this paper, we give several extremum principles (Theorem 2.1 and Lemma 2.2) for affine-periodic problems, especially for the case of higher order systems. By these extremum principles, we partly establish the existence of affine-periodic solutions for higher order ordinary differential equations. (C) 2020 Elsevier Ltd. All rights reserved.
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页数：6
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