Existence results for damped regular equations under periodic or Neumann boundary conditions

被引：2

作者：

Wang, Feng ^{[1
]}

Cid, Jose Angel ^{[2
]}

Li, Shengjun ^{[3
]}

Zima, Miroslawa ^{[4
]}

机构：

[1] Changzhou Univ, Dept Math, Changzhou 213164, Peoples R China

[2] Univ Vigo, Dept Matemat, ECOBAS, Campus Ourense, Vigo 32004, Spain

[3] Hainan Univ, Coll Sci, Haikou 570228, Hainan, Peoples R China

[4] Univ Rzeszow, Inst Math, Pigonia 1, PL-35959 Rzeszow, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 509卷 / 02期

基金：

中国国家自然科学基金; 海南省自然科学基金;

关键词：

Existence analysis; Dynamic analysis; Regular equations; Periodic solutions; UNIQUENESS; STABILITY;

D O I：

10.1016/j.jmaa.2021.125978

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a version of the averaging and a method to construct lower and upper solutions in the reversed order that are suitable for both the periodic and the Neumann boundary conditions. As an application, we obtain new results for a periodic problem related to the Liebau phenomenon and for a Neumann boundary value problem arising in fluid dynamics.(c) 2021 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

引用

页数：10

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