Oscillatory criteria for the systems of two first-order linear differential equations

DOI10.1216/RMJ-2017-47-5-1497zbMath1378.34052OpenAlexW2758985345MaRDI QIDQ2409609

G. A. Grigorian

Publication date: 12 October 2017

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1506045622

zbMATH Keywords

oscillationthe Riccati equationnormal and marginal solutionsnull-classesnull-elementsPh. Hartman's oscillatory criterionstrict oscillationSturm type theorems

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (5)

Interval oscillation criteria for linear matrix Hamiltonian systems ⋮ Properties of solutions of the scalar Riccati equation with complex coefficients and some their applications ⋮ New conditionally oscillatory class of equations with coefficients containing slowly varying and periodic functions ⋮ Oscillation and non-oscillation criteria for linear nonhomogeneous systems of two first-order ordinary differential equations ⋮ A generalization of Sturm's comparison theorem

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