Asymptotic Integrations of Nonoscillatory Second Order Differential Equations

DOI10.2307/2001826zbMath0755.34048OpenAlexW4236640355MaRDI QIDQ3982161

Shaozhu Chen

Publication date: 26 June 1992

Full work available at URL: https://doi.org/10.2307/2001826

zbMATH Keywords

perturbationasymptotic integrationlinear differential equationadapted Riccati techniquesprincipal, nonprincipal solutions

Mathematics Subject Classification ID

Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Qualitative theory for ordinary differential equations (34C99) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (12)

Linear perturbations of a nonoscillatory second order differential equation II ⋮ Wong's oscillation theorem for the second-order delay differential equations ⋮ Principal and nonprincipal solutions of impulsive dynamic equations: Leighton and Wong type oscillation theorems ⋮ Asymptotic integration of nonoscillatory differential equations: A unified approach ⋮ Necessary and sufficient conditions for solvability of the Hartman–Wintner problem for difference equations ⋮ Necessary and sufficient conditions for the solvability of a problem of Hartman and Wintner ⋮ 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 ⋮ Riccati techniques and approximation for a second-order Poincaré difference equation ⋮ On a problem of Hartman and Wintner ⋮ A problem on Hartman and Wintner: approximation for discrete perturbations

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