Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
Applications of the Drazin Inverse to Linear Systems of Differential Equations with Singular Constant Coefficients
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DOI：
10.1137/0131035
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发表时间：
1976-11
影响因子：
1.9
通讯作者：
S. Campbell;C. D. Meyer;N. Rose
中科院分区：
文献类型：
--
作者：
S. Campbell;C. D. Meyer;N. Rose
设A，B是n × n矩阵，f是向量值函数. A和B可以都是单数。利用Drazin逆理论研究了微分方程Ax' + Bx = f。当微分方程在一致的初始条件下有唯一解时，给出了方程所有解的封闭形式。
Let A, B be $n \times n$ matrices, f a vector-valued function. A and B may both be singular. The differential equation $Ax' + Bx = f$ is studied utilizing the theory of the Drazin inverse. A closed form for all solutions of the differential equation is given when the equation has unique solutions for consistent initial conditions.