Доведено коректну розв'язність нелокальної багатоточкової за часом задачі для параболічних за Шиловим рівнянь з від'ємним родом та початковою умовою у просторі узагальнених функій типу ультрарозподілів. Встановлено властивість локалізації розв'язку зазначеної задачі.

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