{"title":"Solutions for a boundary value problem at resonance on [0,∞)","authors":"Junling Li , Bingmei Liu , Lishan Liu","doi":"10.1016/j.mcm.2013.06.003","DOIUrl":null,"url":null,"abstract":"<div><p>An <span><math><mi>m</mi></math></span>-point boundary value problem with one-dimensional <span><math><mi>p</mi></math></span>-Laplacian at resonance on <span><math><mrow><mo>[</mo><mn>0</mn><mo>,</mo><mi>∞</mi><mo>)</mo></mrow></math></span> is considered. By establishing a continuation theorem and applying a suitable homotopy, Leray–Schauder degree, a priori estimate, the existence of solutions to the above problem is obtained.</p></div>","PeriodicalId":49872,"journal":{"name":"Mathematical and Computer Modelling","volume":"58 11","pages":"Pages 1769-1776"},"PeriodicalIF":0.0000,"publicationDate":"2013-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.mcm.2013.06.003","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical and Computer Modelling","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0895717713002033","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
An -point boundary value problem with one-dimensional -Laplacian at resonance on is considered. By establishing a continuation theorem and applying a suitable homotopy, Leray–Schauder degree, a priori estimate, the existence of solutions to the above problem is obtained.
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