КФУ. Карточка публикации. Nonlinear mixed Cherepanov boundary value problem

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NONLINEAR MIXED CHEREPANOV BOUNDARY VALUE PROBLEM

Форма представления

Статьи в зарубежных журналах и сборниках

Год публикации

2019

Язык

английский

Авторы, сотрудники КФУ

Обносов Юрий Викторович, автор

Авторы, аспиранты КФУ

Зулькарняев Айрат Ринатович, автор

Библиографическое описание на языке оригинала

Obnosov Yurii, Zulkarnyaev Airat. Nonlinear mixed Cherepanov boundary value problem. Complex Variables and Elliptic Equations. V.64(6) 2019,p.979-996. DOI:10.1080/17476933.2018.1493465

Аннотация

We consider the nonlinear boundary-value problem, consisting in the determination of the function $w(z)$ which is meromorphic in the upper half-plane, satisfies the homogeneous Hilbert boundary condition on the set $L$ of $n$ intervals of the real axis, and has the given modulus on the set $M={\mathbb R}\setminus \overline L$. This problem was set and solved in \cite{cherepanov1}. G.P.Cherepanov proved that the required solution with a given number and location of its internal zeros and poles and with integrable singularities at all endpoints of $L$ exists if and only if $n-1$ solvability conditions are fulfilled. Our goal is to prove that this problem is unconditionally solvable in the class of meromorphic functions with properly chosen number and location of their zeros and poles. We show that the formulated problem is equivalent to the real analog of the Jacobi inversion problem on a hyperelliptic Riemann surface. The general meromorphic solution is obtained as well as the solut

Ключевые слова

nonlinear mixed boundary-value problem, analytic functions, closed form solution

Название журнала

Complex Variables and Elliptic Equations

URL

http://10.1080/17476933.2018.1493465

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https://repository.kpfu.ru/?p_id=184241

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Обносов Юрий Викторович	ru_RU
dc.contributor.author	Зулькарняев Айрат Ринатович	ru_RU
dc.date.accessioned	2019-01-01T00:00:00Z	ru_RU
dc.date.available	2019-01-01T00:00:00Z	ru_RU
dc.date.issued	2019	ru_RU
dc.identifier.citation	Obnosov Yurii, Zulkarnyaev Airat. Nonlinear mixed Cherepanov boundary value problem. Complex Variables and Elliptic Equations. V.64(6) 2019,p.979-996. DOI:10.1080/17476933.2018.1493465	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/?p_id=184241	ru_RU
dc.description.abstract	Complex Variables and Elliptic Equations	ru_RU
dc.description.abstract	We consider the nonlinear boundary-value problem, consisting in the determination of the function $w(z)$ which is meromorphic in the upper half-plane, satisfies the homogeneous Hilbert boundary condition on the set $L$ of $n$ intervals of the real axis, and has the given modulus on the set $M={\mathbb R}\setminus \overline L$. This problem was set and solved in \cite{cherepanov1}. G.P.Cherepanov proved that the required solution with a given number and location of its internal zeros and poles and with integrable singularities at all endpoints of $L$ exists if and only if $n-1$ solvability conditions are fulfilled. Our goal is to prove that this problem is unconditionally solvable in the class of meromorphic functions with properly chosen number and location of their zeros and poles. We show that the formulated problem is equivalent to the real analog of the Jacobi inversion problem on a hyperelliptic Riemann surface. The general meromorphic solution is obtained as well as the solut	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	nonlinear mixed boundary-value problem	ru_RU
dc.subject	analytic functions	ru_RU
dc.subject	closed form solution	ru_RU
dc.title	Nonlinear mixed Cherepanov boundary value problem	ru_RU
dc.type	Статьи в зарубежных журналах и сборниках	ru_RU