On two comparison tests for linear second-order ordinary differential equations

DOI10.1134/S0012266111090023zbMath1244.34051MaRDI QIDQ656486

G. A. Grigorian

Publication date: 18 January 2012

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (14)

New reducibility criteria for systems of two linear first-order ordinary differential equations ⋮ Necessary conditions and a test for the stability of a system of two linear ordinary differential equations of the first order ⋮ Stability criteria for systems of two first-order linear ordinary differential equations ⋮ Global solvability tests for a scalar Riccati equation with complex coefficients ⋮ Stability criterion for systems of two first-order linear ordinary differential equations ⋮ Unnamed Item ⋮ Interval oscillation criteria for linear matrix Hamiltonian systems ⋮ Properties of solutions of the scalar Riccati equation with complex coefficients and some their applications ⋮ Oscillatory and non oscillatory criteria for the systems of two linear first order two by two dimensional matrix ordinary differential equations ⋮ Oscillation and non-oscillation criteria for linear nonhomogeneous systems of two first-order ordinary differential equations ⋮ A generalization of Sturm's comparison theorem ⋮ Global solvability criteria for quaternionic Riccati equations ⋮ Oscillation criteria for linear matrix Hamiltonian systems ⋮ On the stability of systems of two first-order linear ordinary differential equations

Cites Work

• Unnamed Item
• Oscillation Criteria for Second Order Linear Differential Equations with Damping
• A new comparison theorem for scalar Riccati equations

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