带积分条件的贝塞尔算子双曲方程混合问题

IF 0.8 4区数学 Q2 MATHEMATICS

Differential Equations Pub Date : 2023-12-15 DOI:10.1134/s00122661230130013

N. V. Zaitseva

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引用次数: 0

摘要

摘要本文研究了带有贝塞尔微分算子的双曲方程的积分条件非局部问题，这些问题的表述在很大程度上取决于该算子中出现的参数变化的区间。根据基于经典变量分离法的统一方案，研究了这些问题的良好求解性，该方案也用于研究包含贝塞尔算子的单变量或双变量椭圆-双曲型方程的积分条件非经典问题。

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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Mixed Problems with Integral Conditions for Hyperbolic Equations with the Bessel Operator

Abstract

The paper considers nonlocal problems with integral conditions for hyperbolic equations with the Bessel differential operator whose statement substantially depends on the intervals where the parameter occurring in this operator varies. The well-posedness of these problems is studied according to a unified scheme based on the classical method of separation of variables, which is also used to study nonclassical problems with integral conditions for equations of elliptic–hyperbolic type containing the Bessel operator in one or two variables as well.

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来源期刊

Differential Equations 数学-数学

CiteScore

1.30

自引率

33.30%

发文量

审稿时长

3-8 weeks

期刊介绍： Differential Equations is a journal devoted to differential equations and the associated integral equations. The journal publishes original articles by authors from all countries and accepts manuscripts in English and Russian. The topics of the journal cover ordinary differential equations, partial differential equations, spectral theory of differential operators, integral and integral–differential equations, difference equations and their applications in control theory, mathematical modeling, shell theory, informatics, and oscillation theory. The journal is published in collaboration with the Department of Mathematics and the Division of Nanotechnologies and Information Technologies of the Russian Academy of Sciences and the Institute of Mathematics of the National Academy of Sciences of Belarus.