Mixed Problems with Integral Conditions for Hyperbolic Equations with the Bessel Operator
Pub Date : 2023-12-15
DOI:10.1134/s00122661230130013
引用次数: 0
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.
带积分条件的贝塞尔算子双曲方程混合问题
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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