A closed formula for the determination of the impulsive solutions of linear homogeneous matrix differential equations

Fragulis G.

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A closed formula for the determination of the impulsive solutions of linear homogeneous matrix differential equations

机译：确定线性齐次矩阵微分方程脉冲解的封闭公式

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摘要

A closed formula is given, which allows the determination of the impulsive solutions of linear homogeneous matrix differential equations (LHMDE) directly in terms of finite and infinite spectral data of the associated polynomial matrix. Specifically, the notions of finite and infinite Jordan pairs for a general polynomial matrix are defined and it is pointed out the strong relationship among them and the impulsive solutions of LHMDE.

机译：给出了一个封闭公式，可以直接根据相关多项式矩阵的有限和无限光谱数据确定线性齐次矩阵微分方程（LHMDE）的脉冲解。具体来说，定义了一个通用多项式矩阵的有限和无限的约旦对的概念，指出了它们之间的紧密关系以及LHMDE的脉冲解。

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《IEEE Transactions on Automatic Control》 |1993年第11期|P.1688-1695|共8页
作者
Fragulis G.;
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1. ON DETERMINATION OF THE IMPULSIVE SOLUTIONS AND IMPULSIVE PROPERTIES TO LINEAR NON-HOMOGENEOUS MATRIX DIFFERENTIAL EQUATIONS [J] . Tan Liansheng Acta Mathematica Scientia . 2000,第2期

机译：线性非齐次矩阵微分方程的脉冲解和脉冲性质的确定
2. ON DETERMINATION OF THE IMPULSIVESOLUTIONS AND IMPULSIVE PROPERTIES TO LINEAR NON-HOMOGENEOUS MATRIX DIFFERENTIAL EQUATIONS [J] . 数学物理学报（英文版） . 2000,第002期

机译：线性非齐次矩阵微分方程的脉冲解和脉冲性质的确定
3. SUFFICIENT CONDITIONS FOR OSCILLATION OF THE SOLUTIONS OF IMPULSIVE LINEAR HOMOGENEOUS DIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT [J] . A. Dishliev, N. Markova Communications in Applied Analysis . 2007,第2期

机译：具延迟参数的脉冲线性齐次微分方程解的振动的充分条件
4. Solution behavior of homogeneous linear system of differential equations x' (t) = Ax (t), A is symmetric matrix [C] . Prasad Enagandula International Conference on Mathematical Sciences and Applications . 2020

机译：差分方程x'（t）= ax（t）的均匀线性系统的解决方案行为，a是对称矩阵
5. Solving homogeneous linear differential equations of order 4 in terms of equations of smaller order. [D] . Person, Axelle Claude. 2002

机译：用小阶方程求解4阶齐次线性微分方程。
6. The Picard-Vessiot Theory of Homogeneous Linear Ordinary Differential Equations [O] . E. R. Kolchin 1946

机译：齐次线性常微分方程的Picard-Vessiot理论
7. PICONE TYPE FORMULA FOR NON-SELFADJOINT IMPULSIVE DIFFERENTIAL EQUATIONS WITH DISCONTINUOUS SOLUTIONS [O] . A. Özbekler, A. Zafer 2013

机译：具有不连续解的非自洽脉冲微分方程的pICONE型公式
8. On the Nonpropagation of Zero Sets of Solutions of Certain Homogeneous Linear Partial Differential Equations across Noncharacteristic Hyperplanes [R] . Cohoon, D. K. 1981

机译：非特征超平面上一类齐次线性偏微分方程零解的非传播性

A closed formula for the determination of the impulsive solutions of linear homogeneous matrix differential equations

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