КФУ. Карточка публикации. Periodic Boundary Value Problem for a Linear Elliptic Equation of the Second Order in a Half-Plane

КАЗАНСКИЙ
ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ

RUS

- EN
- 中文
- ES

PERIODIC BOUNDARY VALUE PROBLEM FOR A LINEAR ELLIPTIC EQUATION OF THE SECOND ORDER IN A HALF-PLANE

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2020

Язык

английский

Авторы, сотрудники КФУ

Бикчантаев Ильдар Ахмедович, автор

Библиографическое описание на языке оригинала

I.A. Bikchantaev. Periodic Boundary Value Problem for a Linear Elliptic Equation of the Second Order in a Half-Plane. Differential Equations, 2020, Vol. 56, No. 7, pp. 813–818.

Аннотация

We study periodic boundary value problems for a second-order linear partial differ- ential equation with constant coefficients in a half-plane under various assumptions about the roots of the characteristic equation. If the imaginary parts of these roots are of the same sign, then we consider a boundary value problem of the type of the Hilbert problem, and if they are of opposite signs, then we consider a problem of the Dirichlet type. Necessary and sufficient solv- ability conditions are obtained, explicit formulas are given for the solutions of these problems, and the number of solutions of the corresponding homogeneous problems is found.

Ключевые слова

boundary value problem, elliptic equation

Название журнала

Differential Equations

Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку

https://repository.kpfu.ru/?p_id=237056

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Бикчантаев Ильдар Ахмедович	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	I.A. Bikchantaev. Periodic Boundary Value Problem for a Linear Elliptic Equation of the Second Order in a Half-Plane. Differential Equations, 2020, Vol. 56, No. 7, pp. 813–818.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=237056	ru_RU
dc.description.abstract	Differential Equations	ru_RU
dc.description.abstract	We study periodic boundary value problems for a second-order linear partial differ- ential equation with constant coefficients in a half-plane under various assumptions about the roots of the characteristic equation. If the imaginary parts of these roots are of the same sign, then we consider a boundary value problem of the type of the Hilbert problem, and if they are of opposite signs, then we consider a problem of the Dirichlet type. Necessary and sufficient solv- ability conditions are obtained, explicit formulas are given for the solutions of these problems, and the number of solutions of the corresponding homogeneous problems is found.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	boundary value problem	ru_RU
dc.subject	elliptic equation	ru_RU
dc.title	Periodic Boundary Value Problem for a Linear Elliptic Equation of the Second Order in a Half-Plane	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU