A Characterization of Positive Linear Functionals and Oscillation Criteria for Matrix Differential Equations

DOI10.2307/2042252zbMath0446.34038OpenAlexW4254583637MaRDI QIDQ3891038

Terry J. Walters

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042252

zbMATH Keywords

matrix differential equationpositive linear functionalsoscillation criterioneigenvalues of a matrix

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items

Oscillation theorems for linear matrix Hamiltonian systems ⋮ Non-integral criterion for oscillations of linear Hamiltonian matrix systems ⋮ Positive linear functionals and the order cone ⋮ Linear transformation and oscillation criteria for Hamiltonian systems ⋮ Interval oscillation criteria for linear Hamiltonian systems ⋮ RECENT DEVELOPMENT IN OSCILLATORY PROPERTIES OF CERTAIN DIFFERENTIAL EQUATIONS ⋮ Oscillation criteria based on a new weighted function for linear matrix Hamiltonian systems ⋮ Nonlinear functionals and a theorem of Sun ⋮ A non-oscillation theorem for differential matrix systems ⋮ Oscillation criteria for matrix Hamiltonian systems via the summability method ⋮ On oscillation properties for linear Hamiltonian systems ⋮ Riccati Techniques and Variational Principles in Oscillation Theory for Linear Systems ⋮ Oscillation criteria for linear matrix Hamiltonian systems ⋮ Oscillation results for selfadjoint differential systems

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