关于带有平均曲率算子的微分方程的无界解

IF 0.4 4区数学 Q4 MATHEMATICS

Czechoslovak Mathematical Journal Pub Date : 2023-09-06 DOI:10.21136/cmj.2023.0111-23

Z. Došlá, M. Marini, S. Matucci

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引用次数: 0

摘要

.给出了具有平均曲率算子的常微分方程存在无界增长解的充要条件。结果表明，在振荡阈值上，这种解与辅助线性方程的解是渐近接近的。导出了一个新的具有平均曲率算子的方程的振动准则，推广了线性Sturm-Liouville方程的Leighton准则。

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On unbounded solutions for differential equations with mean curvature operator

. We present necessary and suﬃcient conditions for the existence of unbounded increasing solutions to ordinary diﬀerential equations with mean curvature operator. The results illustrate the asymptotic proximity of such solutions with those of an auxiliary linear equation on the threshold of oscillation. A new oscillation criterion for equations with mean curvature operator, extending Leighton criterion for linear Sturm-Liouville equation, is also derived.

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来源期刊

Czechoslovak Mathematical Journal 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Czechoslovak Mathematical Journal publishes original research papers of high scientific quality in mathematics.