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complex boundary-value problem

Schwarz boundary value problem for the Cauchy-Riemann equation in a rectangle

Schwarz boundary value problem for the Cauchy-Riemann equation in a rectangle

... of boundary value problems for its theoretical significance and extensive applications in mathematical physics, such as elasticity theory, potential theory, medical ...for boundary value prob- ...

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II. THE CVBEM NUMERICAL STATEMENT

II. THE CVBEM NUMERICAL STATEMENT

... the Complex Variable Boundary Element Method (CVBEM) to solve a boundary value problem over two-dimensional multiply connected regions, in fact for the problem of a potential ...

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A Kind of Doubly Periodic Riemann Boundary Value Problem on Two Parallel Curves

A Kind of Doubly Periodic Riemann Boundary Value Problem on Two Parallel Curves

... Riemann boundary value problem on two parallel ...of complex functions, we investigated the method for solving this kind of dou- bly periodic Riemann boundary value ...

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Optimization of Conformal Mapping Functions used in Developing Closed-Form Solutions for Underground Structures with Conventional cross Sections

Optimization of Conformal Mapping Functions used in Developing Closed-Form Solutions for Underground Structures with Conventional cross Sections

... Muskhelishvili’s complex potential functions along with conformal mapping ...the problem are in their simplest forms [9] to avoid extra coefficient ...the problem into the circular shapes which are ...

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Reflection Method for Mathematical Modeling of Potential Fields in Multi-Layer Media

Reflection Method for Mathematical Modeling of Potential Fields in Multi-Layer Media

... a complex variable as an analytical methods for solving boundary value problems in multilayer ...Riemann boundary value problems, the solution of which is accompanied by significant ...

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A Boundary Value Problem for Hermitian Monogenic Functions

A Boundary Value Problem for Hermitian Monogenic Functions

... called Dirac operator. Null solutions of this operator are called monogenic functions, which may be regarded as a natural generalization to a higher-dimensional setting of the holomorphic functions of one complex ...

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Riemann boundary value problem for hyperanalytic functions

Riemann boundary value problem for hyperanalytic functions

... Riemann boundary value problem for analytic functions of one complex variable and singular integral equations that are equivalent to it has been extensively stud- ied in the ...

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The Problem of the Optimal Control with a Lower Coefficient for Weakly Nonlinear Wave Equation in the Mixed Problem

The Problem of the Optimal Control with a Lower Coefficient for Weakly Nonlinear Wave Equation in the Mixed Problem

... the problem of determining the lowest coefficient of weakly nonlinear wave ...The problem is reduced to the optimal control problem, in the new ...

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General Periodic Boundary Value Problem for Systems

General Periodic Boundary Value Problem for Systems

... There has been progress in the study of the existence of positive solutions of system problem. If      I identity, then (1,1) reduces to the usual periodic bound- ary value problem for which the ...

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Boundary Value Problem of Fractional Differential Equation

Boundary Value Problem of Fractional Differential Equation

... Abstract: In this paper, we prove the existence of the solution for the boundary value problem of fractional differential equations of order ∈ , ].The Krasnoselskii’s fixed point theore[r] ...

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A focal boundary value problem for difference equations

A focal boundary value problem for difference equations

... Comparison of eigenvalues for focal point problems for nth order difference equations, Differential and Integral Equations 3 1990, 363-380.... Sturmian theory for a class of nonselfadjoi[r] ...

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A singular boundary value problem for neutral equations

A singular boundary value problem for neutral equations

... The aim of the present paper is to obtain conditions for the existence and uniqueness of an absolutely continuous solution of a singular boundary value problem for neutral equations, usi[r] ...

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Solvability of multi-point value problems with integral condition at resonance

Solvability of multi-point value problems with integral condition at resonance

... Boundary value problem involves ordinary differential equation with non local condition appears in physi- cal science and applied ...of boundary value problems with integral condition ...

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Nonlinear fourth order boundary value problem

Nonlinear fourth order boundary value problem

... as well as on the interval [, b], where b < ∞ [] (further see []). We should note that there are several works in the field of the existence and uniqueness theorems of the second order nonlinear boundary ...

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Semi Numerical Solution for a Boundary Value Problem

Semi Numerical Solution for a Boundary Value Problem

... f  and (4.4) represents f    1 have random sign pattern. Using Domb-Sykes plot (Figures 2 and 3), we locate the position ad identifying the nature of the nearest singularity of the series restricting the con- ...

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The Initial Boundary Value Problem of a Parabolic System

The Initial Boundary Value Problem of a Parabolic System

... Some authors have studied the global finiteness of the solutions[3,4] and blow up properties of the solutions[9] with various boundary conditions to the equations and systems of evolutionary Laplacian equations. ...

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Boundary value problem for one evolution equation

Boundary value problem for one evolution equation

... Cauchy problem is incorrect in the sense of ...the boundary value problem in the sense of Hadamard, is selected by adding some additional conditions to the coef- ficients of the ...

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Unbounded solution for a fractional boundary value problem

Unbounded solution for a fractional boundary value problem

... From this we see that to solve the problem (P) it remains to prove that the map T has a fixed point in E. Since the Arzela-Ascoli theorem cannot be applied in this situation, then, to prove that T is completely ...

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Boundary value problems in complex analysis I

Boundary value problems in complex analysis I

... [8] Gakhov, F. D.: Boundary value problems. Pergamon Press, Oxford, 1966. [9] Muskhelishvili, N. I.: Singular integral equations. Dover, New York, 1992. [10] Pompeiu, D.: Sur une classe de fonctions d’une ...

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A Boundary Element Formulation for the Pricing of Barrier Options

A Boundary Element Formulation for the Pricing of Barrier Options

... ary value problem, and a boundary element method is designed to solve the ...sulting problem is a boundary value problem of a heat ...the boundary value ...

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