De La valle Poussin型不等式在半线性欧拉型方程中的应用

IF 2.1 3区数学 Q1 MATHEMATICS, APPLIED

Mathematical Methods in the Applied Sciences Pub Date : 2025-02-14 DOI:10.1002/mma.10802

Zuzana Pátíková

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引用次数: 0

摘要

研究了de la vall Poussin型不等式在半线性微分欧拉型方程中的应用。考虑了四个被视为具有振荡常数的非振荡欧拉方程摄动的方程，并给出了两个项都有摄动情况下的一个新定理。给出了欧拉型方程的de la vall Poussin型不等式的几个不同的推论，这些推论有助于估计其解的连续零点之间的距离。

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Application of De La Vallée Poussin Type Inequalities to Half-Linear Euler Type Equations

The paper is devoted to the application of de la Vallée Poussin type inequalities to half-linear differential Euler type equations. Four studied equations seen as perturbations of the nonoscillatory Euler equation with the oscillation constant are considered, and a new theorem for the cases where the perturbation is in both terms is presented. Several different corollaries of de la Vallée Poussin type inequalities for Euler type equations, which can help in estimating the distance between consecutive zero points of their solutions, are formulated.

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来源期刊

Mathematical Methods in the Applied Sciences 数学-应用数学

CiteScore

4.90

自引率

6.90%

发文量

798

审稿时长

6 months

期刊介绍： Mathematical Methods in the Applied Sciences publishes papers dealing with new mathematical methods for the consideration of linear and non-linear, direct and inverse problems for physical relevant processes over time- and space- varying media under certain initial, boundary, transition conditions etc. Papers dealing with biomathematical content, population dynamics and network problems are most welcome. Mathematical Methods in the Applied Sciences is an interdisciplinary journal: therefore, all manuscripts must be written to be accessible to a broad scientific but mathematically advanced audience. All papers must contain carefully written introduction and conclusion sections, which should include a clear exposition of the underlying scientific problem, a summary of the mathematical results and the tools used in deriving the results. Furthermore, the scientific importance of the manuscript and its conclusions should be made clear. Papers dealing with numerical processes or which contain only the application of well established methods will not be accepted. Because of the broad scope of the journal, authors should minimize the use of technical jargon from their subfield in order to increase the accessibility of their paper and appeal to a wider readership. If technical terms are necessary, authors should define them clearly so that the main ideas are understandable also to readers not working in the same subfield.