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Concordant solutions of linear multidimensional differential equations. (Russian)

Authors: Gerko A. I.

Abstract

Some sufficient conditions of the existence of concordant solutions of linear differential multidimensional equations $y'h=a(x)hy + b(x)h$ $(a\in C(R^n,$ $L(R^n,L(E,E))),\mathbreak b\in C(R^n,L(R^n,E)), y\in C(R^n,E),\quad h\in R^n)$ are obtained for arbitrary Banach space $E$. The cases of an uniform convex space $E$ and constant function $a$ are studied.

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