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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
Drazin inverse