Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
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.Universitatea de Stat din Moldova
str. Mateevici 60, Chişinău MD-2009, Moldova
str. Mateevici 60, Chişinău MD-2009, Moldova
Contents
- Morita contexts and correspondences between lattices of submodules. (Russian)
- A theorem on union of $d$-star-shaped sets. (Russian)
- Planar point groups of tablets and hypertablets $P$-symmetries and their application to the study of multidimensional symmetry groups. (Russian)
- On the generalized Fibonacci sequence. (English)
- Idempotents and the radical with respect to a right ideal. II. (Russian)
- Concordant solutions of linear multidimensional differential equations. (Russian)
- On the completeness of topological modules free in some classes. (English)
- The principle of composition of multidimensional dynamical systems. (Russian)
- Algorithms of choice of optimal configurations in weighted digraphs. (Russian)
- The construction of a numerable collection of precomplete classes of formulae in the provability logic. (English)
- On the strong isomorphism of groups and isomorphism of $P$-symmetries. (Russian)
- Uniqueness of topologies in the case of some constructions of rings and modules. (Russian)
