. "Journal of Dynamics and Differential Equations" . "000332834300003" . "Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems"@en . "29462" . "P(GAP201/10/1032), S" . . "Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems" . . "RIV/00216224:14310/14:00073432!RIV15-MSM-14310___" . "14310" . . . . . "\u0160imon Hilscher, Roman" . . . . "1" . . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . . . . . "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." . . "RIV/00216224:14310/14:00073432" . "[FD9B35BDA2AE]" . "Linear Hamiltonian system; Minimal principal solution; Principal solution; Controllability; Normality; Conjoined basis; Order of abnormality; Moore--Penrose pseudoinverse"@en . "2"^^ . "10.1007/s10884-013-9342-1" . . . "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."@en . "Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems"@en . "\u0160epitka, Peter" . "2"^^ . "1040-7294" . . "35"^^ . "Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems" . "26" .