๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Linear systems with locally integrable trajectories

โœ Scribed by M. Saeed Akram; Vakhtang Lomadze

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
162 KB
Volume
430
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

โœฆ Synopsis

The locally integrable function space L loc 1 is made a module over the ring of proper rational functions. Using this module structure, the notion of relative dimension is defined naturally for every linear subspace in (L loc 1 ) q . It is shown that the property of having finite relative dimension together with the property of having sufficiently many smooth trajectories and the evident property of differentiation-invariance characterize the weak solutions sets of linear constant coefficient differential systems among all linear subspaces.

๐Ÿ“œ SIMILAR VOLUMES

Locally polyhedral linear inequality sys
Locally polyhedral linear inequality systems
โœ Edward J. Anderson; Miguel A. Goberna; Marco A. Lรณpez ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 817 KB

Linear systems of an arbitrary number of inequalities provide external representations for the closed convex sets in the Euclidean space. In particular, the locally polyhedral systems introduced in this paper are the natural linear representation for quasipolyhedral sets (those subsets of the Euclid