Almost diagonal systems in asymptotic integration

Author:

Gingold H.

Abstract

Consider the ordinary linear matrix differential systemψ(x) is a scalar mapping, X and A(x) are n by n matrices. Both belong to C1([a,∞)) for some integer l. The stability and asymptotic behaviour of its solutions have been subject to much investigation. See Bellman [2], Levinson [24], Hartman and Wintner [20], Devinatz [9], Fedoryuk [11], Harris and Lutz [16,17,18] and Cassell [30]. The special interest in eigenvalue problems and in the deficiency index problem stimulated a continued interest in asymptotic integration. See e.g. Naimark [36], Eastham and Grundniewicz [10] and [8,9]. Harris and Lutz [16,17,18] succeeded in explaining how to derive many known theorems in asymptotic integration by repeatedly using certain “(1 + Q)” linear transformations.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference37 articles.

1. THE ASYMPTOTIC INTEGRATION OF SOME OSCILLATORY DIFFERENTIAL EQUATIONS

2. Asymptotic methods in the theory of one-dimensional singular differential operators;Fedoryuk;Trans. Moskow Math. Soc.,1966

3. Notes on perturbation theory;Kato;Bull. Amer. Math. Soc.,1955

4. Asymptotic Integrations of Linear Differential Equations

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Conditioning Transformations for Differential Systems;Asymptotic Integration of Differential and Difference Equations;2015

2. Introduction, Notation, and Background;Asymptotic Integration of Differential and Difference Equations;2015

3. Asymptotic Integration Under Weak Dichotomies;Rocky Mountain Journal of Mathematics;2010-02-01

4. A dynamical systems result on asymptotic integration of linear differential systems;Journal of Differential Equations;2003-01

5. Uniform Asymptoti Integration of a Family of Linear Differential Systems;Mathematische Nachrichten;2001-05

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3