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2003-09-15Buch DOI: 10.18452/2605
Linear boundary value problems for differential algebraic equations
dc.contributor.authorBalla, Katalin
dc.contributor.authorMärz, Roswitha
dc.date.accessioned2017-06-15T17:42:05Z
dc.date.available2017-06-15T17:42:05Z
dc.date.created2005-11-03
dc.date.issued2003-09-15
dc.identifier.issn0863-0976
dc.identifier.urihttp://edoc.hu-berlin.de/18452/3257
dc.description.abstractBy the use of the corresponding shift matrix, the paper gives a criterion for the unique solvability of linear boundary value problems posed for linear differential algebraic equations up to index 2 with well-matched leading coefficients. The solution is constructed by a proper Green function. Another characterization of the solutions is based upon the description of arbitrary affine linear subspaces of solutions to linear differential algebraic equations in terms of solutions to the adjoint equation. When applied to boundary value problems, the result provides a constructive criterion for unique solvability and allows reducing the problem to initial value problems and linear algebraic equations.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.subjectboundary value problemseng
dc.subjectdifferential algebraic equationseng
dc.subjectadjoint equationseng
dc.subject.ddc510 Mathematik
dc.titleLinear boundary value problems for differential algebraic equations
dc.typebook
dc.identifier.urnurn:nbn:de:kobv:11-10052391
dc.identifier.doihttp://dx.doi.org/10.18452/2605
local.edoc.pages13
local.edoc.type-nameBuch
local.edoc.container-typeseries
local.edoc.container-type-nameSchriftenreihe
local.edoc.container-year2003
dc.identifier.zdb2075199-0
bua.series.namePreprints aus dem Institut für Mathematik
bua.series.issuenumber2003,7

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