Genera of conjoined bases for (non)oscillatory linear Hamiltonian systems: extended theory
type: Item
instance of: scholarly article
title: Genera of conjoined bases for (non)oscillatory linear Hamiltonian systems: extended theory
zbMATH Open document ID: 1447.37086
author: Peter Šepitka
published in: Journal of Dynamics and Differential Equations
publication date: 2020-08-06T00:00:00Z
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34C10
zbMATH DE Number: 7229173
zbMATH Keywords: linear Hamiltonian system
zbMATH Keywords: genus of conjoined bases
zbMATH Keywords: Riccati differential equation
zbMATH Keywords: controllability
zbMATH Keywords: orthogonal projector
MaRDI profile type: Publication
full work available at URL: s10884-019-09810-w
OpenAlex ID: W2985646508
cites work: Discrete and continuous boundary problems
cites work: Generalized inverses. Theory and applications.
cites work: Q4671207
cites work: Generalized Inverses of Linear Transformations
cites work: Disconjugacy
cites work: Comparison theorems for conjoined bases of linear Hamiltonian differential systems and the comparative index
cites work: Some remarks concerning weakly disconjugate linear Hamiltonian systems
cites work: Q5330830
cites work: Uniform Weak Disconjugacy and Principal Solutions for Linear Hamiltonian Systems
cites work: Nonautonomous linear Hamiltonian systems: oscillation, spectral theory and control
cites work: Q4837108
cites work: DEFINITENESS OF QUADRATIC FUNCTIONALS
cites work: Principal solutions of nonoscillatory linear differential systems
cites work: Q5613350
cites work: Riccati differential equations
cites work: Sturmian theory for ordinary differential equations
cites work: Primer on Optimal Control Theory
cites work: Riccati equations for linear Hamiltonian systems without controllability condition
cites work: Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
cites work: Principal solutions at infinity of given ranks for nonoscillatory linear Hamiltonian systems
cites work: Principal and antiprincipal solutions at infinity of linear Hamiltonian systems
cites work: Genera of conjoined bases of linear Hamiltonian systems and limit characterization of principal solutions at infinity
cites work: Reid’s Construction of Minimal Principal Solution at Infinity for Linear Hamiltonian Systems
cites work: Comparative index and Sturmian theory for linear Hamiltonian systems
cites work: Sturmian theory for linear Hamiltonian systems without controllability
cites work: On general Sturmian theory for abnormal linear Hamiltonian systems
DOI: 10.1007/S10884-019-09810-W
description: scientific article; zbMATH DE number 7229173