Linear Perturbations of a Nonoscillatory Second Order Equation

DOI10.2307/2046231zbMath0594.34057OpenAlexW4242441460MaRDI QIDQ3724752

William F. Trench

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2046231

zbMATH Keywords

second order differential equationnonoscillatory equation

Mathematics Subject Classification ID

Perturbations of ordinary differential equations (34D10) Qualitative theory for ordinary differential equations (34C99) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (11)

Linear perturbations of a nonoscillatory second order differential equation II ⋮ Wong's oscillation theorem for the second-order delay differential equations ⋮ Asymptotic integration of nonoscillatory differential equations: A unified approach ⋮ Necessary and sufficient conditions for the solvability of a problem of Hartman and Wintner ⋮ Trench's perturbation theorem for dynamic equations ⋮ Forced oscillation of second-order nonlinear differential equations with positive and negative coefficients ⋮ Linear perturbations of a nonoscillatory second order difference equation ⋮ Principal and nonprincipal solutions of impulsive differential equations with applications ⋮ Higher-order differential equations with a slowly decaying coefficient containing a periodic factor ⋮ Asymptotic solution of differential equations with small oscillatory coefficients ⋮ A problem on Hartman and Wintner: approximation for discrete perturbations

Cites Work

• Functional Perturbations of Second Order Differential Equations
• On the Asymptotic Behaviour of Solutions of a Differential Equation in Boundary Layer Theory

This page was built for publication: Linear Perturbations of a Nonoscillatory Second Order Equation