半线上全非线性跃迁方程系统的无界解的存在性与定位

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-03-13 DOI:10.1007/s10440-024-00635-4

Ali Zerki, Kamal Bachouche, Karima Ait-Mahiout

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引用次数: 0

摘要

在下面的论文中，我们证明了在 Sturm-Liouville 型边界条件下的\(n\) 三阶微分方程系统解的存在性和局部化。这样的系统出现在许多物理问题中，其中之一是定位空间中物质点轨迹的抽搐方程。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Existence and Localization of Unbounded Solutions for Fully Nonlinear Systems of Jerk Equations on the Half-Line

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Existence and Localization of Unbounded Solutions for Fully Nonlinear Systems of Jerk Equations on the Half-Line

In the following paper, we have shown the existence and localization of solutions for a system of \(n\) third order differential equations under Sturm-Liouville type boundary conditions. Such systems appear in many physical problems, one of which is the jerk equations to locate the trajectory of a material point in space.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.