Analyticity and Pseudo-Analyticity in the Small Parameter Method

IF 0.7 4区数学 Q3 MATHEMATICS, APPLIED

Computational Mathematics and Mathematical Physics Pub Date : 2023-12-25 DOI:10.1134/s096554252311012x

V. I. Kachalov, D. A. Maslov

引用次数: 0

Abstract

The small parameter method allows one to construct solutions of differential equations in the form of power series and has become widespread in mathematical physics. In most cases, these series are asymptotically convergent. The aim of this work is to find conditions for the ordinary convergence of series in powers of a small parameter representing solutions of perturbation theory problems.

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小参数法的解析性和伪解析性

摘要小参数法允许人们以幂级数的形式构造微分方程的解，在数学物理学中已得到广泛应用。在大多数情况下，这些级数是渐近收敛的。这项工作的目的是找到代表扰动理论问题解的小参数幂级数普通收敛的条件。

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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来源期刊

Computational Mathematics and Mathematical Physics MATHEMATICS, APPLIED-PHYSICS, MATHEMATICAL

CiteScore

1.50

自引率

14.30%

发文量

125

审稿时长

4-8 weeks

期刊介绍： Computational Mathematics and Mathematical Physics is a monthly journal published in collaboration with the Russian Academy of Sciences. The journal includes reviews and original papers on computational mathematics, computational methods of mathematical physics, informatics, and other mathematical sciences. The journal welcomes reviews and original articles from all countries in the English or Russian language.