Globally unsolvability of the pseudo-parabolic inequalities in annulus

Berikbol Torebek; Meiirkhan Borikhanov

doi:10.70474/z2h3fm53

Авторы

Берикбол Тиллабайулы Торебек Институт математики и математического моделирования Автор https://orcid.org/0000-0002-2354-2377
Меирхан Батырханович Бориханов Международный казахско-турецкий университет имени Ходжи Ахмеда Ясави Автор https://orcid.org/0000-0002-5687-0561

DOI:

https://doi.org/10.70474/z2h3fm53

Ключевые слова:

дифференциальный оператор, уравнение Лапласа, граничное условие, единственность решения, собственные значения оператора, полные ортогональные системы, спектр оператора

Аннотация

In the present paper, we consider the pseudo-parabolic inequality with a singular potential function in an annular domain. The problem is studied with the Neumann-type and Dirichlet-type boundary conditions on the upper boundary of annulus. The non-existence of global weak solutions were established for both cases based on the test function method.

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