Linear differential-algebraic equations with properly stated leading term
dc.contributor.author | März, Roswitha | |
dc.contributor.author | Riaza, Ricardo | |
dc.date.accessioned | 2017-06-15T18:14:10Z | |
dc.date.available | 2017-06-15T18:14:10Z | |
dc.date.created | 2011-07-13 | |
dc.date.issued | 2011-07-13 | |
dc.identifier.issn | 0863-0976 | |
dc.identifier.uri | http://edoc.hu-berlin.de/18452/3419 | |
dc.description.abstract | We examine in this paper so-called B-critical points of linear, time-varying differential-algebraic equations (DAEs) of the form A(t)(D(t)x(t))' + B(t)x(t) = q(t). These critical or singular points, which cannot be handled by classical projector methods, require adapting a recently introduced framework based on Π-projectors. Via a continuation of certain invariant spaces through the singularity, we arrive at an scenario which accommodates both A- and Bcritical DAEs. The working hypotheses apply in particular to standard-form analytic systems although, in contrast to other approaches to critical problems, the scope of our approach extends beyond the analytic setting. Some examples illustrate the results. | eng |
dc.language.iso | eng | |
dc.publisher | Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | index | eng |
dc.subject | differential-algebraic equation | eng |
dc.subject | projector | eng |
dc.subject | critical point | eng |
dc.subject | singularity | eng |
dc.subject.ddc | 510 Mathematik | |
dc.title | Linear differential-algebraic equations with properly stated leading term | |
dc.type | book | |
dc.identifier.urn | urn:nbn:de:kobv:11-100189282 | |
dc.identifier.doi | http://dx.doi.org/10.18452/2767 | |
local.edoc.pages | 15 | |
local.edoc.type-name | Buch | |
local.edoc.container-type | series | |
local.edoc.container-type-name | Schriftenreihe | |
local.edoc.container-year | 2007 | |
dc.title.subtitle | B-critical points | |
dc.identifier.zdb | 2075199-0 | |
bua.series.name | Preprints aus dem Institut für Mathematik | |
bua.series.issuenumber | 2007,9 |