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

• Date: 1994
• Main Authors: Teplinsky, Yu. V., Теплинский, Ю. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1994
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5702
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...