3 citations · 4 across the 8 of their papers we have counts for
8 papers
Multi-component mathematical models in multilayer fields by the transformation operators method
Oleg Yaremko, Lidia Simutina
The vector transform operators are investigated; these operators are used at the solution of boundary value problems in piecewise homogeneous spherically symmetric areas. In partic…
Heat equation, Dirichlet problem, Laplace equation and randomized probability density
Oleg Yaremko, Alexander Abuzov, Dina Khotsyan
In the present study examines the statistical structure of the generated randomized density of the normal distribution and the Cauchy distribution. The study put the allegation tha…
Matrix Fourier transform with discontinuous coefficients
O. Yaremko, E. Zhuravleva
The explicit construction of direct and inverse Fourier's vector transform with discontinuous coefficients is presented. The technique of applying Fourier's vector transform with d…
Matrix Fourier transform in dynamic theory of elasticity of piecewise homogeneous medium
O. Yaremko., E. Mogileva
The analytical solving dynamic problems of elasticity theory for piecewise homogeneous half-space is found. The explicit construction of direct and inverse Fourier's vector transfo…
Modeling of conservative fields in piecewise infinite plate with a thin inclusion
O. Yaremko, E. Mogileva
In the article the formulas for the modeling of conservative fields in piecewise infinite plate with a thin inclusion found. The accuracy of the found formulas is of order equal to…
Hermite functions with discontinuous coefficients for the solution of fractal diffusion retrospective problems
Oleg Yaremko
In this article we study the retrospective inverse problem. The retrospective inverse problem consists of in the reconstruction of a priori unknown initial condition of the dynamic…
Solving the heat equation in piecewise-homogeneous anisotropic media using the multidimensional Fourier transforms
O. E. Yaremko
Multidimensional integral transformations with non-separated variables for problems with discontinuous coefficients are constructed in this work. The coefficient discontinuities fo…
The Cauchy problem and Hadamard's example in the ring
O. E. Yaremko
Integral representation for harmonic function in the ring is constructed in this work. We prove the existence and uniqueness of solutions of the Cauchy problem for the Laplace equa…