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On the Variable Exponent Riemann Boundary Value Problem for Liapunov Open Curve
In this paper, we first study the Riemann boundary value problem for Liapunov open curve in variable exponent space, we supplement the open curve as...
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Boundary Value Problems Essential Fractional Dynamic Equations on Time Scales
This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting...
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Invertibility and Spectrum of the Riemann Boundary Value Problem Operator in a Countably Normed Space of Smooth Functions on a Circle
AbstractIn a countably normed space of smooth functions on the unit circle, we consider the Riemann boundary value problem operator with smooth...
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The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Supersingular Point on the Contour of the Boundary Condition
AbstractIn this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for a...
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Nonlocal Boundary Value Problem for a Mixed Type Equation with Fractional Partial Derivative
We study the nonlocal boundary value problem for a mixed type equation with the Riemann–Liouville fractional partial derivative. In the hyperbolic...
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The Homogeneous Riemann Boundary Value Problem with General Continuous Coefficient on Rectifiable Open Curves
AbstractWe present a brief review of results on the homogeneous Riemann boundary value problem for analytic functions with very general boundary data.
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On a Boundary Value Problem for a Class of Equations of Mixed Type
AbstractIn this paper we study a nonlocal boundary value problem for Gellerstedt equation with singular coefficient in an unbounded domain. The...
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The Riemann Boundary Value Problem on Circular Spirals
There is a series of publications about the Riemann boundary value problem on spiral-like arcs. Some constraints are imposed on the shape of the...
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Riemann problem for multiply connected domain in Besov spaces
In this paper, we obtain conditions of the solvability of the Riemann boundary value problem for sectionally analytic functions in multiply connected...
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The boundary value problem for the mean field equation on a compact Riemann surface
Let (Σ, g ) be a compact Riemann surface with smooth boundary ∂E, ∆ g be the Laplace-Beltrami operator, and h be a positive smooth function. Using a...
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Solution of a Boundary Value Problem for a System of Integro-Differential Equations Arising in a Model of Plasma Physics
AbstractWe consider a boundary value problem for a system of integro-differential equations arising when modeling the influence of an electric...
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Revised Riemann–Hilbert problem for the derivative nonlinear Schrödinger equation: Vanishing boundary condition
AbstractWith a vanishing boundary condition, we consider a revised Riemann–Hilbert problem (RHP) for the derivative nonlinear Schrödinger...
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The focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions: the Riemann–Hilbert problem and soliton classification
AbstractThe focusing coupled modified Korteweg–de Vries equation with nonzero boundary conditions is investigated by the Riemann–Hilbert...
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The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Singular Line
AbstractIn this paper we have studied an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis...
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Robin Boundary-Value Problem for the Beltrami Equation
We study the unique solution of the Robin boundary-value problem for the Beltrami equation with constant coefficients in a unit disc by using a...
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Hardy spaces of meta-analytic functions and the Schwarz boundary value problem
We extend representation formulas that generalize the similarity principle of solutions to the Vekua equation to certain classes of meta-analytic...
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Riemann Boundary Value Problems for Monogenic Functions on the Hyperplane
In this paper we systematically study the Riemann boundary value problems on the hyperplane for monogenic functions in Clifford analysis. The concept...