某些非局部分散方程正解的精细轮廓

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-11-06 DOI:10.1016/j.jde.2024.10.038

Yan-Hua Xing, Jian-Wen Sun

{"title":"某些非局部分散方程正解的精细轮廓","authors":"Yan-Hua Xing, Jian-Wen Sun","doi":"10.1016/j.jde.2024.10.038","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we study the positive solutions of some nonlocal dispersal equations. We are interested in the new profiles of positive solutions with different reaction functions when spatial degeneracy occurs. It is shown that there can exist six kinds of asymptotic profiles for the nonlocal dispersal problem. Our study also provides the precise effect of reaction functions.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":null,"pages":null},"PeriodicalIF":2.4000,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fine profiles of positive solutions for some nonlocal dispersal equations\",\"authors\":\"Yan-Hua Xing, Jian-Wen Sun\",\"doi\":\"10.1016/j.jde.2024.10.038\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we study the positive solutions of some nonlocal dispersal equations. We are interested in the new profiles of positive solutions with different reaction functions when spatial degeneracy occurs. It is shown that there can exist six kinds of asymptotic profiles for the nonlocal dispersal problem. Our study also provides the precise effect of reaction functions.</div></div>\",\"PeriodicalId\":15623,\"journal\":{\"name\":\"Journal of Differential Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.4000,\"publicationDate\":\"2024-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Differential Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022039624007034\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022039624007034","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了一些非局部分散方程的正解。我们感兴趣的是当空间退化发生时，具有不同反应函数的正解的新剖面。研究表明，非局部分散问题可能存在六种渐近剖面。我们的研究还提供了反应函数的精确效应。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Fine profiles of positive solutions for some nonlocal dispersal equations

In this paper, we study the positive solutions of some nonlocal dispersal equations. We are interested in the new profiles of positive solutions with different reaction functions when spatial degeneracy occurs. It is shown that there can exist six kinds of asymptotic profiles for the nonlocal dispersal problem. Our study also provides the precise effect of reaction functions.

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

来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics