Study of properties of firmness of solutions of equations with partial derivatives by the method of separation of variables

The oscillatory character of solutions of partial differential equations is studied by the method of separation of variables; an ill-posed boundary value problem for a fourth-order polyharmonic equation, where the boundary conditions are given on two rectangles embedded one in the other, is studied;...

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Збережено в:
Бібліографічні деталі
Дата:1992
Автори: Bugir, M. K., Бугир, М. К.
Формат: Стаття
Мова:Російська
Опубліковано: Institute of Mathematics, NAS of Ukraine 1992
Онлайн доступ:https://umj.imath.kiev.ua/index.php/umj/article/view/8100
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
Опис
Резюме:The oscillatory character of solutions of partial differential equations is studied by the method of separation of variables; an ill-posed boundary value problem for a fourth-order polyharmonic equation, where the boundary conditions are given on two rectangles embedded one in the other, is studied; bounds for conditional stability and regularization are established.