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2011-07-13Buch DOI: 10.18452/2767
Linear differential-algebraic equations with properly stated leading term
dc.contributor.authorMärz, Roswitha
dc.contributor.authorRiaza, Ricardo
dc.date.accessioned2017-06-15T18:14:10Z
dc.date.available2017-06-15T18:14:10Z
dc.date.created2011-07-13
dc.date.issued2011-07-13
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3419
dc.description.abstractWe 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.isoeng
dc.publisherHumboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/
dc.subjectindexeng
dc.subjectdifferential-algebraic equationeng
dc.subjectprojectoreng
dc.subjectcritical pointeng
dc.subjectsingularityeng
dc.subject.ddc510 Mathematik
dc.titleLinear differential-algebraic equations with properly stated leading term
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-100189282
dc.identifier.doihttp://dx.doi.org/10.18452/2767
local.edoc.pages15
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year2007
dc.title.subtitleB-critical points
dc.identifier.zdb2075199-0
bua.series.namePreprints aus dem Institut für Mathematik
bua.series.issuenumber2007,9

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