具有无约束中性系数的二阶函数微分方程的克奈瑟型振荡定理

IF 0.9 3区数学 Q2 MATHEMATICS Mathematica Slovaca Pub Date : 2024-07-01 DOI:10.1515/ms-2024-0049

Irena Jadlovská, George E. Chatzarakis, Ercan Tunç

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引用次数: 0

摘要

在本文中，我们利用一种迭代改进非振荡解单调性特性的最新方法，开始研究具有非经典算子和无约束中性系数的二阶函数微分方程解的渐近和振荡特性。我们的结果所依赖的思想，本质上是改进了研究具有延迟或高级论证的无约束中性项微分方程的标准技术。该方法的核心以一种形式呈现，建议进一步推广到具有无约束中性系数的高阶微分方程中。

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Kneser-type oscillation theorems for second-order functional differential equations with unbounded neutral coefficients

In this paper, we initiate the study of asymptotic and oscillatory properties of solutions to second-order functional differential equations with noncanonical operators and unbounded neutral coefficients, using a recent method of iteratively improved monotonicity properties of nonoscillatory solutions. Our results rely on ideas that essentially improve standard techniques for the investigation of differential equations with unbounded neutral terms with delay or advanced argument. The core of the method is presented in a form that suggests further generalizations for higher-order differential equations with unbounded neutral coefficients.

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来源期刊

Mathematica Slovaca 数学-数学

CiteScore

2.10

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： Mathematica Slovaca, the oldest and best mathematical journal in Slovakia, was founded in 1951 at the Mathematical Institute of the Slovak Academy of Science, Bratislava. It covers practically all mathematical areas. As a respectful international mathematical journal, it publishes only highly nontrivial original articles with complete proofs by assuring a high quality reviewing process. Its reputation was approved by many outstanding mathematicians who already contributed to Math. Slovaca. It makes bridges among mathematics, physics, soft computing, cryptography, biology, economy, measuring, etc.　 The Journal publishes original articles with complete proofs. Besides short notes the journal publishes also surveys as well as some issues are focusing on a theme of current interest.

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