A note on oscillatory integration

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摘要

Conditions are given for a non-oscillatory ordinary differential equation x″ + a(t)x = 0, t ⩾ t0 ⩾ 1, to possess a solution x(t) with prescribed oblique asymptote that has an oscillatory pseudo-wronskian x′(t)-x(t)t.

论文关键词:Ordinary differential equation,Asymptotic integration,Prescribed asymptote,Non-oscillation of solutions

论文评审过程:Available online 27 October 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.10.027