SINGULAR INTEGRAL EQUATIONS OF NONCLASSICAL TYPE ON A PIECEWISE SMOOTH CURVE
نویسندگان
چکیده
Рассматриваются сингулярные интегральные операторы на кусочно гладкой кривой в весовых лебеговых и гёльдеровых пространствах с непрерывными матричными коэффициентами. В отличие от классического случая эти помимо сингулярного оператора Коши содержат также некомпактные специального вида, которые определяются ядром, приближенно однородным степени −1 относительно расстояний до узлов кривой. Подобные возникают во многих приложениях. Получен критерий фредгольмовости этих операторов приводится формула их индекса.
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ژورنال
عنوان ژورنال: ?????????????? ??????? ????
سال: 2023
ISSN: ['2587-876X', '2411-9326']
DOI: https://doi.org/10.25587/svfu.2023.51.83.004