关于带有平均曲率算子的微分方程的无界解

Pub Date : 2023-09-06 DOI:10.21136/cmj.2023.0111-23

Z. Došlá, M. Marini, S. Matucci

{"title":"关于带有平均曲率算子的微分方程的无界解","authors":"Z. Došlá, M. Marini, S. Matucci","doi":"10.21136/cmj.2023.0111-23","DOIUrl":null,"url":null,"abstract":". We present necessary and suﬃcient conditions for the existence of unbounded increasing solutions to ordinary diﬀerential equations with mean curvature operator. The results illustrate the asymptotic proximity of such solutions with those of an auxiliary linear equation on the threshold of oscillation. A new oscillation criterion for equations with mean curvature operator, extending Leighton criterion for linear Sturm-Liouville equation, is also derived.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On unbounded solutions for differential equations with mean curvature operator\",\"authors\":\"Z. Došlá, M. Marini, S. Matucci\",\"doi\":\"10.21136/cmj.2023.0111-23\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". We present necessary and suﬃcient conditions for the existence of unbounded increasing solutions to ordinary diﬀerential equations with mean curvature operator. The results illustrate the asymptotic proximity of such solutions with those of an auxiliary linear equation on the threshold of oscillation. A new oscillation criterion for equations with mean curvature operator, extending Leighton criterion for linear Sturm-Liouville equation, is also derived.\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-09-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.21136/cmj.2023.0111-23\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.21136/cmj.2023.0111-23","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

.给出了具有平均曲率算子的常微分方程存在无界增长解的充要条件。结果表明，在振荡阈值上，这种解与辅助线性方程的解是渐近接近的。导出了一个新的具有平均曲率算子的方程的振动准则，推广了线性Sturm-Liouville方程的Leighton准则。

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

On unbounded solutions for differential equations with mean curvature operator

. We present necessary and suﬃcient conditions for the existence of unbounded increasing solutions to ordinary diﬀerential equations with mean curvature operator. The results illustrate the asymptotic proximity of such solutions with those of an auxiliary linear equation on the threshold of oscillation. A new oscillation criterion for equations with mean curvature operator, extending Leighton criterion for linear Sturm-Liouville equation, is also derived.

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