2D boundary value problem
Research of 2D variable coefficient elliptic boundary value problem
... In many areas (such as: Physics, mechanics, acoustics, electromagnetics, heat transferring etc.) and engineering technology, many problems can be described by differential equations. The differential equation is a ...
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Numerical identification of a variable parameter in 2d elliptic boundary value problem by extragradient methods
... approximation” (in the sense suggested by the author) to the given problem. Recently, Y. Censor, A. Gibali, S. Reich [8] proposed two extensions of the well-known extragradient method for variational inequality ...
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The 2D Dirichlet Problem for the Propagative Helmholtz Equation in an Exterior Domain with Cracks and Singularities at the Edges
... the boundary data on the closed curves in the present paper is assumed to be only ...our problem, though classical solution exists. In other words, the problem in this paper is studied under ...
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Solutions for a fractional difference boundary value problem
... In [], the authors used the mountain pass theorem, a linking theorem, and Clark’s the- orem to establish the existence of multiple solutions for a fractional difference boundary value problem with a ...
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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
... 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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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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Solutions to a Three Point Boundary Value Problem
... three-point boundary value problem u t atft, ut, u t 0, 0 < t < 1; u0 u 0 0; u 1 − αu η λ, where η ∈ 0, 1/2, α ∈ 1/2η, 1/η are constants, λ ∈ 0, ∞ is a parameter, and a, f are given ...
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Nontrivial solutions for a fractional boundary value problem
... where n = [α] + , [α] denotes the integer part of number α, provided that the right-hand side is pointwise defined on (, + ∞ ). For more details on fractional calculus, we refer the reader to the recent books; see ...
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Riemann boundary value problem for hyperanalytic functions
... Riemann boundary problem for an- alytic functions is technically involved with the Cauchy-type integral which, by taking boundary values, led to the Sokhotski-Plemelj ...Riemann problem to a ...
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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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Semi Numerical Solution for a Boundary Value Problem
... the problem of unsteady flow in contracting or expanding pipe, studied by Skalak and Wang [6] using long series ...This problem Figure 1 for some particular choice of a(t), admits simi- larity ...
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Precondition for Discretized Fractional Boundary Value Problem
... Solving large linear systems is a problem in itself. Many the iterative techniques for solving such systems. The successive over relaxation (SOR) method used iterative methods tosolve . The SOR method depends on a ...
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Radial solutions for a nonlocal boundary value problem
... epidemic problem with diffusion. The problem con- sidered in there is a second-order system of two PDE with a nonlocal term, under as- sumptions related to those we use below (in particular a Lipschitz ...
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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
... 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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On the solvability of a boundary value problem on the real line
... Then, problem (P) can only admit solutions which are constant in [L, + ∞ ) (when ...then problem (P) does not admit ...the boundary conditions and the differential equation in ...
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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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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 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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