A. Martinez, C. A. Pendeza Martinez, G. Bressan, R. M. Souza, E. W. Stiegelmeier
{"title":"Multiple Solutions for a Sixth Order Boundary Value Problem","authors":"A. Martinez, C. A. Pendeza Martinez, G. Bressan, R. M. Souza, E. W. Stiegelmeier","doi":"10.5540/TCAM.2021.022.01.00001","DOIUrl":null,"url":null,"abstract":"This work presents conditions for the existence of multiple solutions for a sixth order equation with homogeneous boundary conditions using Avery Peterson's theorem. In addition, non-trivial examples are presented and a new numerical method based on the Banach's Contraction Principle is introduced.","PeriodicalId":45147,"journal":{"name":"TeMA-Journal of Land Use Mobility and Environment","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2021-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"TeMA-Journal of Land Use Mobility and Environment","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5540/TCAM.2021.022.01.00001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"URBAN STUDIES","Score":null,"Total":0}
引用次数: 1
Abstract
This work presents conditions for the existence of multiple solutions for a sixth order equation with homogeneous boundary conditions using Avery Peterson's theorem. In addition, non-trivial examples are presented and a new numerical method based on the Banach's Contraction Principle is introduced.