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

• Datum: 1994
• Hauptverfasser: Teplinsky, Yu. V., Теплинский, Ю. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5702
• Назва журналу: 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...