广义作用在右手边的非线性微分方程的YERS–ULAM–RASSIAS稳定性

Q3 Mathematics

Ural Mathematical Journal Pub Date : 2023-07-27 DOI:10.15826/umj.2023.1.013

A. Sesekin, Anna D. Kandrina

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引用次数: 0

摘要

本文研究了具有广义作用的非线性微分方程系统的Hyers-Ulam-Rassias稳定性，例如，包含脉冲- δ函数。方程中的导数被认为是分布，这一事实要求对众所周知的Hyers-Ulam-Rassias对此类方程稳定性的定义进行修正。得到了保证所研究的性质的充分条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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YERS–ULAM–RASSIAS STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS WITH A GENERALIZED ACTIONS ON THE RIGHT-HAND SIDE

The paper considers the Hyers–Ulam–Rassias stability for systems of nonlinear differential equations with a generalized action on the right-hand side, for example, containing impulses — delta functions. The fact that the derivatives in the equation are considered distributions required a correction of the well known Hyers–Ulam–Rassias definition of stability for such equations. Sufficient conditions are obtained that ensure the property under study.

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来源期刊

Ural Mathematical Journal Mathematics-Mathematics (all)

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

16 weeks