2019
Том 71
№ 11

# Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters

Teplinsky Yu. V.

Abstract

In the space $\mathfrak{M}$ of bounded numeric sequences, we consider dichotomonly differential equation with a matrix projector. We prove that Green's function of this equation exists, and give the conditions, under which it is continuous and differentiable with respect to the parameters in the equation.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 6, pp 812-819.

Citation Example: Teplinsky Yu. V. Dependence of Green’s function of an $e$-dichotomous differential equation with matrix projector in the space M on parameters // Ukr. Mat. Zh. - 1994. - 46, № 6. - pp. 748–753.

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