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math-ph2013
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…
math-ph2013★ 1 cited
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…
math-ph2013
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…