Математичні методи та фізико-механічні поля. 2014, 57 (1)

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Mathematical methods and physicomechanical fields
2014. Issue 57 (1)

Title, contents.
Solvability of the Neumann problem in a disk for the fourth order properly elliptic equations.
On convergence of accelerated Newton method under the generalized Lipschitz conditions.
On revealing singularities in numerical solution of integral equations of the potential theory.
Semiring in the spectrum of the algebra of symmetric analytic functions on space l1.
Domain decomposition schemes based on penalty method for problems of ideal contact between elastic bodies.
Axisymmetric problem for an elastic cylinder of finite length with fixed lateral surface with regard for natural weight.
Elastic equilibrium of space with a thin curved elastic inclusion under longitudinal shear.
Stress state of the shell of double curvature with two collinear cracks under bending loading.
On effective approach to determine the dynamic stresses in layered circular plates based on Prudnikov inversion formula for Laplace transform.
Mathematical models for estimation of residual life-time of plates with cracks systems under actions of long duration static loading, high temperature and hydrogen.
Conditions of wave propagation in two-layer fluid with free surface.
Discrete mathematical model of diffraction problem of E-polarized on slits in impedance plane.
Mathematical model of scattering of a polarized wave on impedance strips located on screened dielectric layer.
Effect of heating on the near-surface inhomogeneity of electrical and mechanical fields in dielectrics.
Determination of natural frequencies of an elliptic shell of constant thickness by the finite element method.
Nonclassical periodic functions: their calculation and application.

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