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Statements

Subject Item
n2:RIV%2F00216224%3A14310%2F14%3A00073432%21RIV15-MSM-14310___
rdf:type
n6:Vysledek skos:Concept
dcterms:description
In this paper we open a new direction in the study of principal solutions for nonoscillatory linear Hamiltonian systems. In the absence of the controllability assumption, we introduce the minimal principal solution at infinity, which is a generalization of the classical principal solution (sometimes called the recessive solution) for controllable systems introduced by W.T.Reid, P.Hartman, and/or W.A.Coppel. The term ``minimal'' refers to the rank of the solution. We show that the minimal principal solution is unique (up to a right nonsingular multiple) and state its basic properties. We also illustrate our new theory by several examples. In this paper we open a new direction in the study of principal solutions for nonoscillatory linear Hamiltonian systems. In the absence of the controllability assumption, we introduce the minimal principal solution at infinity, which is a generalization of the classical principal solution (sometimes called the recessive solution) for controllable systems introduced by W.T.Reid, P.Hartman, and/or W.A.Coppel. The term ``minimal'' refers to the rank of the solution. We show that the minimal principal solution is unique (up to a right nonsingular multiple) and state its basic properties. We also illustrate our new theory by several examples.
dcterms:title
Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
skos:prefLabel
Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
skos:notation
RIV/00216224:14310/14:00073432!RIV15-MSM-14310___
n3:aktivita
n14:S n14:P
n3:aktivity
P(GAP201/10/1032), S
n3:cisloPeriodika
1
n3:dodaniDat
n13:2015
n3:domaciTvurceVysledku
n8:6860591 n8:9312757
n3:druhVysledku
n16:J
n3:duvernostUdaju
n18:S
n3:entitaPredkladatele
n11:predkladatel
n3:idSjednocenehoVysledku
29462
n3:idVysledku
RIV/00216224:14310/14:00073432
n3:jazykVysledku
n10:eng
n3:klicovaSlova
Linear Hamiltonian system; Minimal principal solution; Principal solution; Controllability; Normality; Conjoined basis; Order of abnormality; Moore--Penrose pseudoinverse
n3:klicoveSlovo
n4:Moore--Penrose%20pseudoinverse n4:Order%20of%20abnormality n4:Normality n4:Controllability n4:Linear%20Hamiltonian%20system n4:Conjoined%20basis n4:Minimal%20principal%20solution n4:Principal%20solution
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[FD9B35BDA2AE]
n3:nazevZdroje
Journal of Dynamics and Differential Equations
n3:obor
n15:BA
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n12:GAP201%2F10%2F1032
n3:rokUplatneniVysledku
n13:2014
n3:svazekPeriodika
26
n3:tvurceVysledku
Šimon Hilscher, Roman Šepitka, Peter
n3:wos
000332834300003
s:issn
1040-7294
s:numberOfPages
35
n17:doi
10.1007/s10884-013-9342-1
n9:organizacniJednotka
14310