AN INVERSE PROBLEM FOR A FOURTH ORDER PARTIAL DIFFERENTIAL EQUATION THAT DEGENERATE ON THE BOUNDARY OF THE DOMAIN

doi:10.56292/SJFSU/vol31_iss3/a%p

Авторы

Ферганский государственный университет

https://orcid.org/0009-0003-8272-8096

DOI:

https://doi.org/10.56292/SJFSU/vol31_iss3/a%25p

Ключевые слова:

дифференциальное уравнение четвёртого порядка с частными производными, обратная задача, спектральный метод, единственность решения, существование решения

Аннотация

В данной статье рассматривается обратная краевая задача для дифференциального уравнения четвертого порядка с частными производными, которое вырождается на границе области, для прямоугольной области. Решение обратной задачи находится в виде ряда Фурье. Доказываются существование и единственность решения рассматриваемой задачи.

Биография автора

, Ферганский государственный университет

Student of Fergana State University

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