Rigid systems of second-order linear differential equations

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dc.creatorGarcia-Planas, M. Isabel
dc.creatorMagret, M. Dolors
dc.creatorSergeichuk, Vladimir V.
dc.creatorZharko, Nadya A.
dc.date2007-10-03
dc.date.accessioned2026-07-07T08:33:48Z
dc.date.available2026-07-07T08:33:48Z
dc.descriptionWe say that a system of differential equations d^2x(t)/dt^2=Adx(t)/dt+Bx(t)+Cu(t), in which A and B are m-by-m complex matrices and C is an m-by-n complex matrix, is rigid if it can be reduced by substitutions x(t)=Sy(t), u(t)=Udy(t)/dt+Vy(t)+Pv(t) with nonsingular S and P to each system obtained from it by a small enough perturbation of its matrices A,B,C. We prove that there exists a rigid system if and only if m<n(1+square_root{5})/2, and describe all rigid systems.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/0710.0862
dc.identifierhttp://arxiv.org/abs/0710.0862
dc.identifierLinear Algebra Appl. 414 (2006) 517--532
dc.identifierdoi:10.1016/j.laa.2005.10.037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139256
dc.subjectRepresentation Theory
dc.subjectClassical Analysis and ODEs
dc.subject15A21; 34D10; 93B10
dc.titleRigid systems of second-order linear differential equations
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