Buchumschlag

Boundary-value problems for the Helmholts equation in domains of the complex plane

By using the conformal mappings of plane with elliptic hole and a plane with cross-shaped hole into the outside of the circle, we construct systems of functions playing the role of bases in the spaces of the functions analytic in these domains. The Faber polynomials are biorthogonal with the basis f...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Datum:	2016
Hauptverfasser:	Sukhorolskyi, M. A., Сухорольський, М. А.
Format:	Artikel
Sprache:	Ukrainisch
Veröffentlicht:	Institute of Mathematics, NAS of Ukraine 2016
Online Zugang:	https://umj.imath.kiev.ua/index.php/umj/article/view/1844
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:	Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Ähnliche Einträge

Boundary-value problems for the Helmholts equation in domains of the complex plane
von: M. A. Sukhorolskyi
Veröffentlicht: (2016)

Solutions of boundary value problems for Helmholtz equation in simply connected domains of complex plane
von: M. A. Sukhorolskyi
Veröffentlicht: (2015)

Bessel functions of two complex mutually conjugated variables and their application in boundary-value problems of mathematical physics
von: Sukhorolskyi, M. A., et al.
Veröffentlicht: (2017)

On boundary-value problems for a second-order differential equation with complex coefficients in a plane domain
von: Burskii, V. P., et al.
Veröffentlicht: (1996)

Orthogonal over the domain systems of functions and their application in boundary value problems of mathematical physics
von: M. A. Sukhorolskyi
Veröffentlicht: (2016)

On boundary-value problems for semi-linear equations in the plane
von: V. Gutlyanskii, et al.
Veröffentlicht: (2021)

Schwartz-type boundary value problems for canonical domains in a biharmonic plane
von: S. V. Gryshchuk, et al.
Veröffentlicht: (2021)

Nonlocal boundary value problem for equation with differential operator z∂/∂z in the complex domain
von: V. S. Ilkiv, et al.
Veröffentlicht: (2012)

Boundary-value problems for Helmholtz equations in an angular domain. I
von: Podlipenko, Yu. K., et al.
Veröffentlicht: (1993)

Boundary-value problems for the helmholtz equation in an angular domain. II
von: Podlipenko, Yu. K., et al.
Veröffentlicht: (1993)

Bessel functions of two complex mutually conjugated variables and their application in boundary-value problems of mathematical physics
von: M. A. Sukhorolskyi
Veröffentlicht: (2017)

Construction of the solutions of boundary-value problems for the laplace equation in domains of revolution with edged boundary
von: Barnyak, M. Ya., et al.
Veröffentlicht: (2009)

Systems of solutions of Helmholtz equation in a complex domain
von: M. A. Sukhorolskyi, et al.
Veröffentlicht: (2015)

On the boundary-value problems for quasiconformal functions in the plane
von: V. Y. Gutlyanskii, et al.
Veröffentlicht: (2015)

On the boundary-value problems for quasiconformal functions in the plane
von: Gutlyanskii, V.Y., et al.
Veröffentlicht: (2015)

Domain of convergence of the Euler transform for the power series of an analytic function
von: Sukhorolskyi, M. A., et al.
Veröffentlicht: (2008)

On recent advances in boundary value problems in the plane
von: V. Y. Gutlyanskii, et al.
Veröffentlicht: (2016)

Boundary integral equations of the third boundary-value problem for the Helmholtz equation in R2 + with plane-parallel slits
von: Ju. V. Gandel, et al.
Veröffentlicht: (2014)

On the uniqueness of solutions to some boundary-value problems for differential equations in a domain with algebraic boundary
von: Burskii, V. P., et al.
Veröffentlicht: (1993)

Approximate Solving of the Third Boundary Value Problems for Helmholtz Equations in the Plane with Parallel Cuts
von: V. D. Dushkin
Veröffentlicht: (2017)

A Boundary-Value Problem for Weakly Nonlinear Hyperbolic Equations with Data on the Entire Boundary of a Domain
von: Bilusyak, N.I., et al.
Veröffentlicht: (2001)

On the shadow problem for domains of plane
von: T. M. Osipchuk
Veröffentlicht: (2016)

On boundary value problems in domains without (A)-condition
von: Ya. Gutlyanskiĭ, et al.
Veröffentlicht: (2019)

Boundary value problems for singular p- and p(x)- Laplacian equations in a domain with conical point on the boundary
von: M. Borsuk
Veröffentlicht: (2020)

On boundary value problems in domains without (A)-condition
von: Gutlyanskii, V.Ya., et al.
Veröffentlicht: (2019)

On One Approach of Boundary-value Problem Investigation for Non-linear Differential Equations of the Hyperbolic Type Over the Domain with Complex Structure
von: V. V. Marynets, et al.
Veröffentlicht: (2017)

On a new approach to the study of plane boundary-value problems
von: Ya. Gutlyanskiĭ, et al.
Veröffentlicht: (2017)

A boundary-value problem for the fourth-order equation with multiple characteristics in a rectangular domain
von: Yu. P. Apakov, et al.
Veröffentlicht: (2021)

On Elliptic Boundary-Value Problems with Small Parameter and Additional Functions on the Boundary of a Domain
von: Zavorotinskii, A. V., et al.
Veröffentlicht: (2014)

On decay estimates of the solutions of initial-boundary value problem for the system of semilinear equations of magnetoelasticity in exterior domains
von: O. M. Botseniuk
Veröffentlicht: (2014)

Initial boundary-value problem for parabolic systems in dihedral domains
von: Ch. Zyong
Veröffentlicht: (2020)

Initial boundary-value problem for parabolic systems in dihedral domains
von: Duong, P. T., et al.
Veröffentlicht: (2020)

Boundary-value problems for an elliptic equation with complex coefficients and a certain moment problem
von: Burskii, V. P., et al.
Veröffentlicht: (1993)

Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity
von: Senashov, S.I., et al.
Veröffentlicht: (2012)

On Elliptic Boundary-Value Problems with Small Parameter and Additional Functions on the Boundary of a Domain
von: A. V. Zavorotinskij
Veröffentlicht: (2014)

On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain
von: Bazalii, B. V., et al.
Veröffentlicht: (2007)

Solvability of boundary-value problems for quasilinear elliptic and parabolic equations in unbounded domains in classes of functions growing at infinity
von: Shishkov, A. E., et al.
Veröffentlicht: (1995)

Nonlocal boundary-value problem for parabolic equations
von: Zadorozhna, N. M., et al.
Veröffentlicht: (1994)

Boundary-value problems for systems of difference equations
von: Boichuk, О. A., et al.
Veröffentlicht: (1997)

On semilinear equations in the complex plane
von: Ya. Gutlyanskiĭ, et al.
Veröffentlicht: (2019)