The Liouville Formula for the Uncertain Homogeneous Linear System and Explicit Solutions of the System.

IF 0.8 Q3 MATHEMATICS, APPLIED

Differential Equations and Dynamical Systems Pub Date : 2021-06-14 DOI:10.1007/s12591-021-00573-9

Vahid Roomi, Hamid Reza Ahmadi

引用次数: 0

Abstract

This paper presents some new definitions and results about a system of uncertain homogeneous linear differential equations. Introducing the uncertain fundamental system and uncertain fundamental matrix for the uncertain system, the Liouville formula will be proven for the system. Moreover, the explicit solutions of the system will be presented.

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不确定均质线性系统的利乌维尔公式和系统的显式解。

本文提出了关于不确定均质线性微分方程系统的一些新定义和结果。通过引入不确定基本系统和不确定系统的不确定基本矩阵，将证明该系统的利乌维尔公式。此外，还将给出该系统的显式解。

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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来源期刊

Differential Equations and Dynamical Systems MATHEMATICS, APPLIED-

CiteScore

3.00

自引率

0.00%

发文量

期刊介绍： Aims and Scope Differential Equations and Dynamical Systems is a multidisciplinary journal whose aim is to publish high quality original research papers in Ordinary and Partial Differential Equations, Integral and Integro-Differential Equations, Calculus of Variations, Bifurcation Theory and Dynamical Systems Theory. Articles devoted to the application of methods and techniques from the above fields of Analysis to Neural Networks, Control Theory; Physical, Biological, Medical, Social and Engineering Sciences are also welcome.In particular, for studies related to modelling aspects in all the above areas, it is essential that the mathematical results be interpreted and translated to the application domains by substantiating the usefulness of the research in solving problems in those realms. Papers dealing with computational and numerical aspects will not be considered for publication unless supported by strong theoretical results and analyses. MissionThe mission of the journal envisages to serve scientists through prompt publication of significant advances in the branches of science and technology beforehand outlined and to provide a forum for the discussion of new scientific developments.