关于p(t) -拉普拉斯微分方程的振荡问题的注记

IF 0.5 Q3 MATHEMATICS Archivum Mathematicum Pub Date : 2023-01-01 DOI:10.5817/am2023-1-39

K. Fujimoto

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引用次数: 0

摘要

．研究了p (t)-拉普拉斯算子的非线性微分方程(a (t) | x 0 | p (t)−2 x 0) 0 + b (t) | x | λ−2 x = 0的振动问题。给出了所有固有解都是振荡解的充分条件。此外，我们给出了非振荡解的先验估计，并提出了一个开放问题。

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A note on the oscillation problems for differential equations with $p(t)$-Laplacian

. This paper deals with the oscillation problems on the nonlinear differential equation ( a ( t ) | x 0 | p ( t ) − 2 x 0 ) 0 + b ( t ) | x | λ − 2 x = 0 involving p ( t )-Laplacian. Sufficient conditions are given under which all proper solutions are oscillatory. In addition, we give a-priori estimates for nonoscillatory solutions and propose an open problem.

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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.