On one oscillatory criterion for the second order linear ordinary differential equations

DOI10.7494/OpMath.2016.36.5.589zbMath1360.34075MaRDI QIDQ2960475

G. A. Grigorian

Publication date: 9 February 2017

Published in: Opuscula Mathematica (Search for Journal in Brave)

zbMATH Keywords

Riccati equationnormal and extremal solutionsintegral and interval oscillatory criteriathe generalized Hill's equation

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)

Prüfer angle and non-oscillation of linear equations with quasiperiodic data ⋮ 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 ⋮ Oscillatory and non oscillatory criteria for the systems of two linear first order two by two dimensional matrix ordinary differential equations

Cites Work

• Rectifiable oscillations in second-order linear differential equations
• Interval oscillation theorems for a second-order linear differential equation
• Oscillation criteria for second-order linear differential equations
• Note on Wong's paper
• On the oscillation of Hill's equations under periodic forcing
• A Note on the Oscillation of Second Order Differential Equations
• Oscillation Theorems for Second Order Linear Differential Equations with Damping

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