论二维微分系统振荡指数有限本质谱的实现

Pub Date : 2024-07-30 DOI:10.1134/s0012266124040062

A. Kh. Stash, N. A. Loboda

{"title":"论二维微分系统振荡指数有限本质谱的实现","authors":"A. Kh. Stash, N. A. Loboda","doi":"10.1134/s0012266124040062","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> For any finite set of nonnegative numbers containing zero, we construct a two-dimensional\nlinear homogeneous differential system (periodic if all elements of the given set are pairwise\ncommensurate) in which the spectra of the oscillation exponents of signs, zeros, roots, and\nhyperroots coincide with this set, and all the values of these exponents are essential.\n</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems\",\"authors\":\"A. Kh. Stash, N. A. Loboda\",\"doi\":\"10.1134/s0012266124040062\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> For any finite set of nonnegative numbers containing zero, we construct a two-dimensional\\nlinear homogeneous differential system (periodic if all elements of the given set are pairwise\\ncommensurate) in which the spectra of the oscillation exponents of signs, zeros, roots, and\\nhyperroots coincide with this set, and all the values of these exponents are essential.\\n</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-07-30\",\"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/s0012266124040062\",\"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/10.1134/s0012266124040062","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

摘要对于包含零的非负数的任何有限集合，我们构造了一个二维线性均质微分系统（如果给定集合的所有元素都是成对相称的，则该系统具有周期性），在该系统中，符号、零点、根和过根的振荡指数谱与该集合重合，并且这些指数的所有值都是本质的。

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 the Realization of Finite Essential Spectra of Oscillation Exponents of Two-Dimensional Differential Systems

Abstract

For any finite set of nonnegative numbers containing zero, we construct a two-dimensional linear homogeneous differential system (periodic if all elements of the given set are pairwise commensurate) in which the spectra of the oscillation exponents of signs, zeros, roots, and hyperroots coincide with this set, and all the values of these exponents are essential.

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