Recessive solutions for nonoscillatory discrete symplectic systems
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Publication:486210
DOI10.1016/j.laa.2014.11.029zbMath1307.39007OpenAlexW2045437451MaRDI QIDQ486210
Peter Šepitka, Roman Šimon Hilscher
Publication date: 14 January 2015
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2014.11.029
controllabilitynonoscillationMoore-Penrose pseudoinversediscrete symplectic systemrecessive solutionconjoined basiseven-order Sturm-Liouville difference equationslinear Hamiltonian difference systemsminimal recessive solutionorder of abnormality
Controllability (93B05) Theory of matrix inversion and generalized inverses (15A09) Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12) Oscillation theory for difference equations (39A21)
Related Items
Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases ⋮ Discrete symplectic systems, boundary triplets, and self-adjoint extensions ⋮ Extremal solutions at infinity for symplectic systems on time scales II - Existence theory and limit properties ⋮ Singular Sturmian separation theorems for nonoscillatory symplectic difference systems ⋮ Principal solutions at infinity for time scale symplectic systems without controllability condition
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