{"title":"Study of the Asymptotic Properties of the Solution to a Problem with a Parameter for the Sturm–Liouville Operator with a Singular Potential","authors":"I. S. Lomov","doi":"10.1134/s0012266124030017","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> The Sturm–Liouville operator with a singular potential is defined on an interval of the real\nline. Transmission conditions are specified at an interior point of the interval. The operator\npotential may have a nonintegrable singularity. For the strong solution of the Cauchy problem for\nan equation with a parameter, asymptotic formulas and estimates are obtained on each of the\nsolution smoothness intervals.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0012266124030017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The Sturm–Liouville operator with a singular potential is defined on an interval of the real
line. Transmission conditions are specified at an interior point of the interval. The operator
potential may have a nonintegrable singularity. For the strong solution of the Cauchy problem for
an equation with a parameter, asymptotic formulas and estimates are obtained on each of the
solution smoothness intervals.
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