有序Banach空间中时滞非局部条件演化方程的单调迭代技术

Pub Date : 2023-11-14 DOI:10.1080/17442508.2023.2280693
Haide Gou
{"title":"有序Banach空间中时滞非局部条件演化方程的单调迭代技术","authors":"Haide Gou","doi":"10.1080/17442508.2023.2280693","DOIUrl":null,"url":null,"abstract":"AbstractIn this paper, based on monotone iterative method in the presence of the lower and upper solutions, we investigate the existence and uniqueness of the S-asymptotically ω-periodic mild solutions to a class of nonlocal problems of evolution equations with delay in ordered Banach spaces. Firstly, we introduce the concept of lower S-asymptotically ω-periodic solution and upper S-asymptotically ω-periodic solution. Secondly, we construct monotone iterative method in the presence of the lower and upper solutions to evolution equations with delay, and obtain the existence of maximal and minimal S-asymptotically ω-periodic mild solutions for the mentioned system under wide monotone conditions and noncompactness measure condition of nonlinear term. Finally, as the application of abstract results, an example is given to illustrate our main results.Keywords: Evolution equationsdelaynonlocal problemsmonotone iterative techniqueC0-semigroupS-asymptotically ω-periodic mild solutionsMathematics Subject Classifications: 35R1235K9047D06 Data availability statementMy manuscript has no associate data.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis research was supported by the National Natural Science Foundation of China [No. 12061062], Science Research Project for Colleges and Universities of Gansu Province [No. 2022A-010].","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Monotone iterative technique for evolution equations with delay and nonlocal conditions in ordered Banach space\",\"authors\":\"Haide Gou\",\"doi\":\"10.1080/17442508.2023.2280693\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"AbstractIn this paper, based on monotone iterative method in the presence of the lower and upper solutions, we investigate the existence and uniqueness of the S-asymptotically ω-periodic mild solutions to a class of nonlocal problems of evolution equations with delay in ordered Banach spaces. Firstly, we introduce the concept of lower S-asymptotically ω-periodic solution and upper S-asymptotically ω-periodic solution. Secondly, we construct monotone iterative method in the presence of the lower and upper solutions to evolution equations with delay, and obtain the existence of maximal and minimal S-asymptotically ω-periodic mild solutions for the mentioned system under wide monotone conditions and noncompactness measure condition of nonlinear term. Finally, as the application of abstract results, an example is given to illustrate our main results.Keywords: Evolution equationsdelaynonlocal problemsmonotone iterative techniqueC0-semigroupS-asymptotically ω-periodic mild solutionsMathematics Subject Classifications: 35R1235K9047D06 Data availability statementMy manuscript has no associate data.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis research was supported by the National Natural Science Foundation of China [No. 12061062], Science Research Project for Colleges and Universities of Gansu Province [No. 2022A-010].\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-11-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/17442508.2023.2280693\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17442508.2023.2280693","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

摘要本文利用有上下解存在的单调迭代方法,研究了有序Banach空间中一类时滞演化方程非局部问题s渐近ω-周期温和解的存在唯一性。首先,我们引入了下s渐近ω周期解和上s渐近ω周期解的概念。其次,构造了具有时滞演化方程上下解存在的单调迭代方法,得到了该系统在广义单调条件和非线性项的非紧性测度条件下最大最小s渐近ω周期温和解的存在性。最后,作为抽象结果的应用,给出了一个例子来说明我们的主要结果。关键词:进化方程;时滞非局部问题;单调迭代技术;0-半群;渐近ω-周期温和解;数学学科分类:35R1235K9047D06数据可用性声明我的稿件没有关联数据。披露声明作者未报告潜在的利益冲突。本研究由国家自然科学基金资助[No. 1];12061062],甘肃省高等学校科研项目[No. 12061062];2022 - 010年)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
分享
查看原文
Monotone iterative technique for evolution equations with delay and nonlocal conditions in ordered Banach space
AbstractIn this paper, based on monotone iterative method in the presence of the lower and upper solutions, we investigate the existence and uniqueness of the S-asymptotically ω-periodic mild solutions to a class of nonlocal problems of evolution equations with delay in ordered Banach spaces. Firstly, we introduce the concept of lower S-asymptotically ω-periodic solution and upper S-asymptotically ω-periodic solution. Secondly, we construct monotone iterative method in the presence of the lower and upper solutions to evolution equations with delay, and obtain the existence of maximal and minimal S-asymptotically ω-periodic mild solutions for the mentioned system under wide monotone conditions and noncompactness measure condition of nonlinear term. Finally, as the application of abstract results, an example is given to illustrate our main results.Keywords: Evolution equationsdelaynonlocal problemsmonotone iterative techniqueC0-semigroupS-asymptotically ω-periodic mild solutionsMathematics Subject Classifications: 35R1235K9047D06 Data availability statementMy manuscript has no associate data.Disclosure statementNo potential conflict of interest was reported by the author(s).Additional informationFundingThis research was supported by the National Natural Science Foundation of China [No. 12061062], Science Research Project for Colleges and Universities of Gansu Province [No. 2022A-010].
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信