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Local uniqueness of a boundary value problem in the complex plane

Asymptotic Analysis, 1993
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 y 1 (x) and y 2
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Complex variable solution for boundary value problem with X-shaped cavity in plane elasticity and its application

Applied Mathematics and Mechanics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Infinity of solutions to initial‐boundary value problems for linear constant‐coefficient evolution PDEs on semi‐infinite intervals

Bulletin of the London Mathematical Society
In this short communication, we announce an algorithmic procedure for constructing non‐uniqueness counter‐examples of classical solutions to initial‐boundary‐value problems for a wide class of linear evolution partial differential equations (PDE), of any
A. Chatziafratis, S. Kamvissis
semanticscholar   +1 more source

Automatic triangulation of plane regions of complex logical structure for solution of boundary-value problems by the finite-element method

Journal of Soviet Mathematics, 1993
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.
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The Riemann-Hilbert Approach to Initial-Boundary Value Problems for Integrable Coherently Coupled Nonlinear Schrodinger Systems on the Half-Line

East Asian Journal on Applied Mathematics, 2018
An integrable coherently coupled nonlinear Schrödinger system describing the propagation of polarised optical waves in an isotropic medium with a generalized 4 × 4 matrix Ablowitz-Kaup-Newell-Segur-type Lax pair is studied.
Beibei Hu
semanticscholar   +1 more source

The Block-Element Method in Expansion of the Solutions of Complex Boundary-Value Problems in Mechanics

Doklady physics (Print), 2020
V. Babeshko   +3 more
semanticscholar   +1 more source

Three Boundary Value Problems for Complex Partial Differential Equations in the Lens Domain

Computational Mathematics and Mathematical Physics
A. Darya, N. Taghizadeh
semanticscholar   +1 more source

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