{"title":"一类带延迟的 p 拉普拉斯系统的周期解的存在性","authors":"Chengjun Guo, Xinjie Ye, Junming Liu","doi":"10.1007/s00009-024-02629-w","DOIUrl":null,"url":null,"abstract":"<p>The purpose of this article is to study the existence of periodic solutions for the <i>p</i>-Laplacian systems with delay </p><span>$$\\begin{aligned} -(|z'(t)|^{p-2}z'(t))'= & {} f(t,z(t+\\tau ),z(t),z(t-\\tau )),\\\\ z(\\tau )-z(-\\tau )= & {} z'(\\tau )-z'(-\\tau )=0. \\end{aligned}$$</span><p>Using the saddle point theorem and the linking theorem, some new existence theorems are obtained for second-order <i>p</i>-Laplacian systems with delay.</p>","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":null,"pages":null},"PeriodicalIF":16.4000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Existence of Periodic Solutions for a Class of p-Laplacian Systems with Delay\",\"authors\":\"Chengjun Guo, Xinjie Ye, Junming Liu\",\"doi\":\"10.1007/s00009-024-02629-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The purpose of this article is to study the existence of periodic solutions for the <i>p</i>-Laplacian systems with delay </p><span>$$\\\\begin{aligned} -(|z'(t)|^{p-2}z'(t))'= & {} f(t,z(t+\\\\tau ),z(t),z(t-\\\\tau )),\\\\\\\\ z(\\\\tau )-z(-\\\\tau )= & {} z'(\\\\tau )-z'(-\\\\tau )=0. \\\\end{aligned}$$</span><p>Using the saddle point theorem and the linking theorem, some new existence theorems are obtained for second-order <i>p</i>-Laplacian systems with delay.</p>\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00009-024-02629-w\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00009-024-02629-w","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.