Asymptotic positivity of solutions of second order differential equations

DOI10.1007/s11117-015-0356-2zbMath1342.34021OpenAlexW1433828063MaRDI QIDQ291974

Jaywan Chung

Publication date: 10 June 2016

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-015-0356-2

zbMATH Keywords

boundsoscillating solutionsGronwall's inequalityasymptotic positivitysecond order linear differential equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Growth and boundedness of solutions to ordinary differential equations (34C11) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Complete synchronization of Kuramoto oscillators with finite inertia
• Explicit bounds for the solutions of second order linear differential equations
• New bounds for the solutions of second order linear differential equations
• The growth of the solutions of a differential equation
• The boundedness of solutions of linear differential equations
• On Boundedness of Solutions of Second Order Differential Equations in the Limit Circle Case
• Asymptotic behavior of positive solutions of a class of systems of second order nonlinear differential equations
• Non-Oscillation Theorems
• Bounds for the Solutions of a Second-Order Linear Differential Equation
• On the growth of the solutions of ordinary differential equations
• Classical Mechanics