半线上块三角形系统的非均匀指数二分法

Journal of Nonlinear Sciences and Applications Pub Date : 2019-09-26 DOI:10.22436/jnsa.013.02.02

LE Huy Tien, Le Duc Nhien, Ta Van Chien

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引用次数: 5

摘要

本文讨论了线性微分方程非自治系统的非一致指数二分性。由于任何线性微分系统在运动上都与三角系统相似，因此有必要考虑三角系统的非均匀指数二分性之间的关系。在不失一般性的前提下，考虑了块状上三角形系统，给出了无界系统半线上三角形系统非一致指数二分的判据。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Nonuniform exponential dichotomy for block triangular systems on the half line

In this paper, we discuss the nonuniform exponential dichotomy properties of nonautonomous systems of linear differential equations. Since any linear differential systems are kinematically similar to a triangular system, considering the relation between the nonuniform exponential dichotomy properties of the triangular system is necessary. Without loss of generality, we consider block upper triangular systems and give the criteria for the nonuniform exponential dichotomy of triangular systems on the half line for unbounded systems.

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来源期刊

Journal of Nonlinear Sciences and Applications MATHEMATICS, APPLIED-MATHEMATICS

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期刊介绍： The Journal of Nonlinear Science and Applications (JNSA) (print: ISSN 2008-1898 online: ISSN 2008-1901) is an international journal which provides very fast publication of original research papers in the fields of nonlinear analysis. Journal of Nonlinear Science and Applications is a journal that aims to unite and stimulate mathematical research community. It publishes original research papers and survey articles on all areas of nonlinear analysis and theoretical applied nonlinear analysis. All articles are fully refereed and are judged by their contribution to advancing the state of the science of mathematics. Manuscripts are invited from academicians, research students, and scientists for publication consideration. Papers are accepted for editorial consideration through online submission with the understanding that they have not been published, submitted or accepted for publication elsewhere.