Quasimonotonie und Ungleichungen in halbgeordneten Räumen

DOI10.1016/0024-3795(74)90070-6zbMath0286.15004OpenAlexW2033314416MaRDI QIDQ1845923

Ludwig Elsner

Publication date: 1974

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://pub.uni-bielefeld.de/record/1780257

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Differential inequalities involving functions of a single real variable (34A40) Differential equations in abstract spaces (34G99)

Related Items (21)

Extended M-matrices and subtangentiality ⋮ Cross-positive matrices revisited ⋮ Unnamed Item ⋮ Differential equations with positive evolutions and some applications ⋮ Geometric ergodicity of affine processes on cones ⋮ Multivariate continuous-time autoregressive moving-average processes on cones ⋮ Theory of cones ⋮ Two-sided estimates of solutions of equations with operators, representable in generalized monotonic manner ⋮ Cross-nonnegativity and monotonicity analysis of nonlinear dynamical systems ⋮ Z-transformations on proper and symmetric cones ⋮ Cone-valued Lyapunov functions ⋮ Positive groups on \(\mathcal H^n\) are completely positive ⋮ The Perron generalized eigenspace and the spectral cone of a cone-preserving map ⋮ A note on cross-positive matrices ⋮ Parabolic differential inequalities in cones ⋮ On Common Linear/Quadratic Lyapunov Functions for Switched Linear Systems ⋮ Some results on cross-positive matrices ⋮ Low-Dimensional Approximations of High-Dimensional Asset Price Models ⋮ Detectability, Observability, and Asymptotic Reconstructability of Positive Systems ⋮ Bilinear Systems---A New Link to $\mathcal H_2$-norms, Relations to Stochastic Systems, and Further Properties ⋮ On strictly positively invariant cones

Cites Work

• Gewöhnliche Differential-Ungleichungen im Banachraum
• Ordinary differential inequalities in ordered Banach spaces
• Gewöhnliche Differentialungleichungen mit quasimonoton wachsenden Funktionen in topologischen Vektorräumen. (Ordinary differential equations with quasi-monotone increasing functions in topological vector spaces)
• Spectral Properties of Matrices which have Invariant Cones
• Eigenwerteinschließung mit <scp>Lorentz</scp>kegeln
• Cross-Positive Matrices
• Minimax Solutions of Ordinary Differential Systems
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