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Local uniqueness of a boundary value problem in the complex plane
We will consider the following boundary value problem for a second-order linear differential equation with polynomial coefficients in the complex plane: is there a differential equation of the specific type with linearly independent solutions y1(x) and y2(x) such that the ratio y1(x)/y2(x) can be prescribed both at the origin and at infinity? We shall
Tatsuhiko J. Tabara
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In Refs. [1], [2] and [4], we discussed the discontinuous Riemann-hilbert boundary value problems for nonlinear uniformly elliptic complex equations of first order in a multiply connected plane domain, but, there the solution for the modified boundary value problem with the indeces ...
Guochun Wen, Chung-Chun Yang
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The paper presents a brief survey of the available methods of automatic triangulation of two-dimensional regions. A technique proposed for nonhomogeneous regions of complex structure ensures compact representation of the input data and generates nearly uniform triangular meshes. This technique is applied to an example.
L. I. Yushchuk
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See the review in Zbl 0887.35031.
V. P. Burskiĭ
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A general spectral boundary value problems framework is utilized to restate Poincare, Hilbert, and Riemann problems for harmonic and analytic functions in an abstract operator-theoretic setting.
Vladimir Ryzhov
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A new type of displacement pile, the X-section cast-in-place concrete (XCC) pile, has recently been developed in China. Extensive field tests and laboratory experiments are undertaken to evaluate its performance and quantify the non-uniform deformation effect (NUDE) of the X-shaped cross section during installation.
Hang Zhou, Hang Zhou
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Integral representations in the complex plane and iterated boundary value problems
Mohamed Akel+2 more
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COMPLEX BOUNDARY VALUE PROBLEMS IN A QUARTER PLANE
H. Begehr, G. Harutyunyan
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