A Multipoint Problem for Pseudodifferential Equations

We investigate the well-posedness of a problem with multipoint conditions with respect to a chosen variable t and periodic conditions with respect to coordinates x 1,...,x p for equations unsolved with respect to the leading derivative with respect to t and containing pseudodifferential operators. W...

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Збережено в:
Бібліографічні деталі
Дата:2003
Автори: Klyus, I. S., Ptashnik, B. I., Клюс, І. С., Пташник, Б. Й.
Формат: Стаття
Мова:Українська
Англійська
Опубліковано: Institute of Mathematics, NAS of Ukraine 2003
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/3884
Теги: Додати тег
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
Опис
Резюме:We investigate the well-posedness of a problem with multipoint conditions with respect to a chosen variable t and periodic conditions with respect to coordinates x 1,...,x p for equations unsolved with respect to the leading derivative with respect to t and containing pseudodifferential operators. We establish conditions for the unique solvability of this problem and prove metric assertions related to lower bounds for small denominators appearing in the course of its solution.