Cover Image

Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line

We consider a generalized Cauchy–Riemann system with a rectilinear singular interval of the real axis. Schwarz boundary value problems for generalized analytic functions which satisfy the mentioned system are reduced to the Fredholm integral equations of the second kind under natural assumptions rel...

Full description

Saved in:

Bibliographic Details
Published in:	Український математичний вісник
Date:	2019
Main Author:	Plaksa, S.A.
Format:	Article
Language:	English
Published:	Інститут прикладної математики і механіки НАН України 2019
Online Access:	https://nasplib.isofts.kiev.ua/handle/123456789/169440
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:	Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line / S.A. Plaksa // Український математичний вісник. — 2019. — Т. 16, № 2. — С. 200-214. — Бібліогр.: 34 назв. — англ.

Institution

Digital Library of Periodicals of National Academy of Sciences of Ukraine

Similar Items

Schwarz boundary-value problems for solutions of a generalized Cauchy-Riemann system with a singular line
by: S. A. Plaksa
Published: (2019)

On the Dirichlet problem for generalized Cauchy-Riemann equations
by: Gutlyanskii, V.Yu., et al.
Published: (2025)

Piecewise-continuous Riemann boundary-value problem on a rectifiable curve
by: Vasileva, Yu. V., et al.
Published: (2006)

Differentiation of Singular Integrals with Piecewise-Continuous Density and Boundary Values of Derivatives of a Cauchy-Type Integral
by: Plaksa, S. A., et al.
Published: (2005)

A refinement of Schwarz’s lemma at the boundary
by: B. N. Örnek
Published: (2024)

Generalized solutions of elliptic boundary value problems with strong power singularities
by: Lopushanska, H.P.
Published: (1999)

A refinement of Schwarz's lemma at the boundary
by: Örnek, Bülent Nafi, et al.
Published: (2024)

On the Asymptotic Behavior of Solutions of a Singular Cauchy Problem
by: Zernov, A. E., et al.
Published: (2001)

Asymptotic solution of the cauchy problem for a singularly perturbed linear system
by: Kocherga, O. I., et al.
Published: (1999)

Coercive solvability of a generalized Cauchy-Riemann system in the Space $L_p (E)$
by: Ospanov, K. N., et al.
Published: (1996)

Asymptotics of a solution of a discontinuous singularly perturbed Cauchy problem
by: Mel'nik, T. A., et al.
Published: (1994)

On a generalization of a Cauchy problem for singular parabolic type evolution equations
by: V. V. Horodetskyi, et al.
Published: (2016)

Riemann boundary-value problem on an open rectifiable jordan curve. I
by: Kud'yavina, Yu. V., et al.
Published: (2010)

Riemann boundary-value problem on an open rectifiable Jordan curve. II
by: Kud'yavina, Yu. V., et al.
Published: (2010)

On Convergence of Solutions of Singularly Perturbed Boundary-Value Problems
by: Anoshchenko, O., et al.
Published: (2009)

Generalization of the H.A. Schwarz Theorem on Stability of Minimal Surfaces
by: Aminov, Yu., et al.
Published: (2007)

On stability of singular Cauchy integral with respect to perturbation of the curve of integration
by: O. S. Plaksa, et al.
Published: (2015)

On one extremal problem for nonlinear Cauchy-Riemann-Beltrami systems
by: R. R. Salimov, et al.
Published: (2020)

Some estimations for partial indices of the Riemann boundary value problem
by: Nikolaichuk, A. M., et al.
Published: (1971)

Asymptotics of solutions of discontinuous singularly perturbed boundary-value problems
by: Mel'nik, T. A., et al.
Published: (1999)

Regularization of the Singularly Perturbed Cauchy Problem for a Hyperbolic System
by: A. Omuraliev, et al.
Published: (2022)

Asymptotic Behavior of Solutions of Linear Singularly Perturbed General Separated Boundary-Value Problems with Initial Jump
by: Kasymov, K. A., et al.
Published: (2003)

One method for solution of the Cauchy problem for singular parabolic equations
by: Matiichuk , M. I., et al.
Published: (1992)

Aniterative method for the solution of some singularly perturbed cauchy problems
by: Mel'nik, T. A., et al.
Published: (1997)

On continuous extension to the boundary of a domain of the Cauchy-type integral with parameter-dependent density
by: S. Plaksa
Published: (2024)

Boundary value problems of differential inclusions with Riemann-Liouville fractional derivative
by: Benchohra, M., et al.
Published: (2011)

On the Noether property of singular integral equations with Cauchy kernels on a rectifiable curve
by: Plaksa, S. A., et al.
Published: (1993)

Euler Equations Related to the Generalized Neveu-Schwarz Algebra
by: Zuo, D.
Published: (2013)

Existence and uniqueness of solution of the Cauchy problem for singular systems of integro-differential equations
by: Shmarda, Z., et al.
Published: (1993)

On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
by: Sh. T. Karimov
Published: (2017)

On one method for the solution of an analog of the Cauchy problem for a polycaloric equation with singular Bessel operator
by: Karimov, Sh. T., et al.
Published: (2017)

On generalized solutions of boundary value problems for some general differential equations
by: Burskii, V.P.
Published: (1999)

On solvability of singular periodic boundary-value problems
by: Staněk, S.
Published: (2001)

Asymptotics of solutions of boundary-value problems for linear singularly perturbed systems of differential equations in the case of a multiple spectrum of the boundary matrix
by: M. B. Vira
Published: (2018)

Multidimensional analogues of the Cauchy – Riemann&#039;s system and representations of their solutions via harmonic functions
by: Zh. A. Tokibetov, et al.
Published: (2016)

Qualitative investigation of a singular Cauchy problem for a functional differential equation
by: Zernov, A. E., et al.
Published: (2005)

Generalization of the Schwarz–Pick inequality and its application to the extreme problems of approximation of holomorphic functions
by: Savchuk, V., et al.
Published: (2025)

On a smooth solution of a boundary-value problem
by: Tsynalko, P. V., et al.
Published: (1998)

Logarithmic asymptotics of the nonlinear Cauchy – Riemann – Beltrami equation
by: R. R. Salimov, et al.
Published: (2021)

On the Cauchy-Riemann Geometry of Transversal Curves in the 3-Sphere
by: E. Musso, et al.
Published: (2020)