Vladimir Mityushev

Work

Cracow University of Technology
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Professor

Poland

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Education

Belorusskij gosudarstvennyj universitet
Belarus

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PhD

Publications

Transport Properties of a Fibre-layer Composite Material

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IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media

Summary

other

Computational Strategy for Analyzing Effective Properties of Random Composites—Part I: Conductivity

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Applied Sciences

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journal-article

Computational Strategy for Analyzing Effective Properties of Random Composites—Part I: Conductivity

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Applied Sciences

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Spectral ℝ-Linear Problems: Applications to Complex Permittivity of Coated Cylinders

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Mathematics

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Structural sums on the complex plane and their application to composite materials

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Bulletin of L.N. Gumilyov Eurasian National University. Mathematics, computer science, mechanics series

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Study of anisotropy in polydispersed 2D micro and nano-composites by Elbow and K-Means clustering methods

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Acta Materialia

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An asymptotic homogenization formula for complex permittivity and its application

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Advances in the Theory of Nonlinear Analysis and its Application

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Lattice sums for double periodic polyanalytic functions

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Analysis and Mathematical Physics

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Effective properties of two-dimensional dispersed composites. Part II. Revision of self-consistent methods

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Computers & Mathematics with Applications

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Effective properties of two-dimensional dispersed composites. Part I. Schwarz's alternating method

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Computers & Mathematics with Applications

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Optimal Random Packing of Spheres and Extremal Effective Conductivity

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Symmetry

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Optimal Random Packing of Spheres and Extremal Effective Conductivity

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Symmetry

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Optimal Random Packing of Spheres and Extremal Effective Conductivity

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Symmetry

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Effective Conductivity of Densely Packed Disks and Energy of Graphs

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Mathematics

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Effective Conductivity of Densely Packed Disks and Energy of Graphs

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Mathematics

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Schwarz’s alternating method in a matrix form and its applications to composites

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Applied Mathematics and Computation

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Effective conductivity of a random suspension of highly conducting spherical particles

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Applied Mathematical Modelling

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Effective Properties of Fibrous Composites and Cluster Convergence

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Multiscale Modeling & Simulation

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Multiple Ginzburg–Landau vortices pinned by randomly distributed small holes

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IMA Journal of Applied Mathematics

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Cluster method in composites and its convergence

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Applied Mathematics Letters

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An analytical formula for the effective conductivity of 2D domains with cracks of high density

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Applied Mathematical Modelling 53, 214–222

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Conductivity of two-dimensional composites with randomly distributed elliptical inclusions

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ZAMM · 98, 512-516

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Elastic properties of a unidirectional composite reinforced with hexagonal array of fibers

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Archives of Mechanics

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Exact and “Exact” Formulae in the Theory of Composites, Modern Problems in Applied Analysis

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P. Drygaś, S. Rogosin, Birkhauzer, Springer International Publishing AG, Cham, 15-34

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book-chapter

Introduction to Mathematical Modeling and Computer Simulations

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CRC – Taylor & Francis, Boca Raton

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book

Mixed Problem for Laplace’s Equation in an Arbitrary Circular Multiply Connected Domain

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Modern Problems in Applied Analysis, eds: P. Drygaś, S. Rogosin, Birkhauzer, Springer International Publishing AG, Cham, 135-152

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book-chapter

Conformal Mapping of Circular Multiply Connected Domains Onto Domains with Slits

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New Trends in Analysis and Interdisciplinary Applications

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other

Contrast Expansion Method for Elastic Incompressible Fibrous Composites

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Advances in Mathematical Physics

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Functional Equations for Analytic Functions and Their Application to Elastic Composites

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New Trends in Analysis and Interdisciplinary Applications

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other

Optimal and stable random pattern formations

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J Theoretical Biology, 422, 7, 12–17

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journal-article

Computational Analysis of Structured Media

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Academic Press, Elsevier

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book

Effective elastic properties of random two-dimensional composites

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International Journal of Solids and Structures

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Solution to the Dirichlet problem for an infinite strip domain with holes

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Complex Variables and Elliptic Equations

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Pattern formations and optimal packing

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Mathematical Biosciences

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Composites with invisible inclusions: Eigenvalues of ℝ-linear problem

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European Journal of Applied Mathematics

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Effective Conductivity and Critical Properties of a Hexagonal Array of Superconducting Cylinders

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Contributions in Mathematics and Engineering

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other

Pattern formations and optimal packing

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Mathematical Biosciences

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Closed-form evaluation of two-dimensional static lattice sums

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Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

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Random 2D Composites and the Generalized Method of Schwarz

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Advances in Mathematical Physics

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Random 2D Composites and the Generalized Method of Schwarz

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Advances in Mathematical Physics

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Schwarz problem for bi-analytic functions in multiply connected domains

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Complex Variables and Elliptic Equations

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Applications of Functional Equations to Dirichlet Problem for Doubly Connected Domains

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Handbook of Functional Equations

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other

Mathematical Models of Mechanical Fields in Media with Inclusions and Holes

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Handbook of Functional Equations

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other

Poincaré $$\boldsymbol{\alpha }$$ -Series for Classical Schottky Groups

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Analytic Number Theory, Approximation Theory, and Special Functions

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other

Conductivity of fibre composites with fractures on the boundary of inclusions

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Multiscale Model. Simul.

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Nonlinear correction to Darcy’s law for channels with wavy walls

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Acta Mechanica

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Maxwell's approach to effective conductivity and its limitations

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The Quarterly Journal of Mechanics and Applied Mathematics

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$$ \mathbb{R} $$ -Linear problem for multiply connected domains and alternating method of Schwarz

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Journal of Mathematical Sciences

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Conductivity of Fibre Composites with Fractures on the Boundary of Inclusions

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Multiscale Modeling & Simulation

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A fast algorithm for computing the flux around non-overlapping disks on the plane

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Mathematical and Computer Modelling

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Maxwell’s approach to effective conductivity and its limitations

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The Quarterly Journal of Mechanics and Applied Mathematics

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Nonlinear correction to Darcy's law

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Acta Mechanica

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Optimal Distribution of the Nonoverlapping Conducting Disks

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Multiscale Modeling & Simulation

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Effective conductivity of random two-dimensional composites with circular non-overlapping inclusions

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Computational Materials Science

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Schwarz-Christoffel Formula for Multiply Connected Domains

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Computational Methods and Function Theory

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Simulation of representative volume elements for random 2D composites with circular non-overlapping inclusions

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Theoretical and Applied Informatics

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Riemann-Hilbert Problems for Multiply Connected Domains and Circular Slit Maps

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Computational Methods and Function Theory

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Scalar Riemann–Hilbert Problem for Multiply Connected Domains

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Functional Equations in Mathematical Analysis

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other

Electrokinetic phenomena in wavy channels

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Journal of Colloid and Interface Science

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Resurgence flows in three-dimensional periodic porous media

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Physical Review E

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Resurgence flows in porous media

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Physical Review E

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journal-article

THE WEIERSTRASS ${\cal P}$–FUNCTION IS NOT TOPOLOGICALLY ELEMENTARY

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More Progresses in Analysis

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conference-paper

On the Riemann–Hilbert Problem with a Piecewise Constant Matrix

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Zeitschrift für Analysis und ihre Anwendungen

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journal-article

Analytical methods for heat conduction in composites

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Mathematical Modelling and Analysis

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Couette flow in channels with wavy walls

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Acta Mechanica

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The Bergman kernel for circular multiply connected domains

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Pacific Journal of Mathematics

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Stokes flow through a channel with wavy walls

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Acta Mechanica

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Representative cell in mechanics of composites and generalized Eisenstein–Rayleigh sums

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Complex Variables and Elliptic Equations

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Increase and Decrease of the Effective Conductivity of Two Phase Composites due to Polydispersity

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Journal of Statistical Physics

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R-linear problem on torus and its applications to composites

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Complex Variables, Theory and Application: An International Journal

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Macroscopic diffusion on rough surfaces

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Physical Review E

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CONSTRUCTIVE METHODS FOR BOUNDARY VALUE PROBLEMS FOR ANALYTIC FUNCTIONS

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Progress in Analysis

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conference-paper

Schwarz Problem for Multiply Connected Domains and its Application to Diffusion Around Fractals

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Complex Variables, Theory and Application: An International Journal

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journal-article

Effective medium approximation and exact formulae for electrokinetic phenomena in porous media

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Journal of Physics A: Mathematical and General

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journal-article

Transport Properties of a Fibre-layer Composite Material

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IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media

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book-chapter

Transport Properties of Doubly Periodic Arrays of Circular Cylinders and Optimal Design Problems

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Applied Mathematics and Optimization

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journal-article

Transport Properties of a Fibre-layer Composite Material

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IUTAM Symposium on Mechanical and Electromagnetic Waves in Structured Media

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book-chapter

A linear functional equation with a singularity at a fixed point

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Aequationes Mathematicae

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journal-article

Steady heat conduction of a material with an array of cylindrical holes in the nonlinear case

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IMA Journal of Applied Mathematics

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journal-article

Hilbert boundary value problem for multiply connected domains

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Complex Variables, Theory and Application: An International Journal

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journal-article

Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc

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Annales Polonici Mathematici

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journal-article

FUNCTIONAL EQUATIONS IN A CLASS OF ANALYTIC FUNCTIONS AND COMPOSITE MATERIALS

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Demonstratio Mathematica

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Riemann problem on the double of a multiply connected circular region

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Annales Polonici Mathematici

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Transport Properties of Double-Periodic Arrays of Circular Cylinders

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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

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A method of functional equations for boundary value problems of continuous media

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Reports on Mathematical Physics

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Influence of the length difference of the crack's edges in fracture mechanics

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Vestnik BGU

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journal-article

The eigenvalues of the problems of ℝ-linear conjugation

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Russ. Math.; translation from Izv. Vyssh. Uchebn. Zaved., Mat.

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Functional equations for harmonic functions in multiply connected domains

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Differential Equations

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Functional equations for analytic and harmonic functions

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Differential Equations

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Heat and wave equations on graphs

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Differential Equations

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Solutions of a real conjugation problem (Markushevich problem) for a ring in a special case

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Soviet Mathematics

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Carleman boundary value problem for an annulus and its application

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Vestn. Beloruss. Gos. Univ., Ser. I

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A functional equation with shift in a domain with a fixed point on the boundary

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Vestnik BGU

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journal-article

On a linear functional equation in a class of analytic functions

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Vestnik BGU Ser.1

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On a certain application of the method of incomplete factorization

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Dokl. Akad. Nauk BSSR 29, 688-690

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journal-article

On a generalization of the Hilbert boundary value problem

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Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk, No. 6, 101-102

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journal-article

On the solution of a general boundary value problem of linear conjugation for an annulus

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Izv. Akad. Nauk BSSR, Ser. Fiz.-Mat. Nauk , No. 3, 25-33

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journal-article

Solution to a linear functional equation with a shift into domain

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Akad. navuk BSSR. Ser. Phys.-Math. 5, 117

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journal-article