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Application of the Drazin inversion on linear systems of differential equations. (Russian) Zbl 0653.34001
Using the Drazin inverse of \(A-\lambda I\) the author gives an explicit formula for the particular solution to the linear vector equation \(x'=Ax+\exp (\lambda t)\sum^{r}_{i=0}q_ it\quad i,\) where x(t)\(\in {\mathbb{R}}^ n,\) \(A\in {\mathbb{R}}^{n.n}\) and \(q_ i\in {\mathbb{R}}^ n.\)
Reviewer: D.Bainov

MSC:
34A05 Explicit solutions, first integrals of ordinary differential equations
34A30 Linear ordinary differential equations and systems
Keywords:
Drazin inverse
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