关于半线性常微分方程非振动解的存在性的注解，2

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2021-01-01 DOI:10.5817/AM2021-1-41

Manabu Naito

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引用次数: 2

摘要

在假设p(t)−1/α在[t0，∞)上可积的条件下，考虑形式为(p(t)|x ' |αsgnx ') ' + q(t)|x|sgnx = 0, t≥t0的半线性微分方程。证明了如果满足某一条件，则上述方程有一对具有特定渐近行为的非振荡解，且解为t→∞。

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Remarks on the existence of nonoscillatory solutions of half-linear ordinary differential equations, II

We consider the half-linear differential equation of the form (p(t)|x′|αsgnx′)′ + q(t)|x|sgnx = 0 , t ≥ t0 , under the assumption that p(t)−1/α is integrable on [t0,∞). It is shown that if a certain condition is satisfied, then the above equation has a pair of nonoscillatory solutions with specific asymptotic behavior as t→∞.

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来源期刊

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.