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The existence and uniqueness of solutions of the boundary-contact problem of elasticity for homogeneous anisotropic media with a contact on some part of their boundaries are investigated in the Besov and Bessel potential classes using the methods of the potential theory and the theory of...
The three-dimensional problems of the mathematical theory of thermoelasticity are considered for homogeneous anisotropic bodies with cuts. It is assumed that the two-dimensional surface of a cut is a smooth manifold of an arbitrary configuration with a smooth boundary. The existence and...
Hölder classes of variable order μ ( x ) are introduced and it is shown that the fractional integral has Hölder order μ ( x ) + α (0 < α, μ + , α + μ + < 1, μ + = sup μ ( x )).
For a given linear topology । , on a vector space E , the finest linear topology having the same । convergent sequences, and the finest linear topology on E having the same । precompact sets, are investigated. Also, the sequentially bornological spaces and the sequentially barreled spaces are...
For the functional differential equation u ( n ) ( t ) = ƒ( u )( t ) we have established the sufficient conditions for solvability and unique solvability of the boundary value problems and where n ≥ 2, m is the integer part of , c i ∈ R , and ƒ is the continuous operator acting from the space of...
Two classes of entire modular forms of weight 5 and two of weight 6 are constructed for the congruence subgroup क 0 (4 N ). The constructed modular forms as well as the modular forms from Lomadze, Georgian Math. J. 1: 53-76, 1994 will be helpful in the theory of representation of numbers by the...
Two-dimension-like functions are constructed on the class of all Tychonoff spaces. Several of their properties, analogous to those of the classical dimension functions, are established.
The Cauchy–Nicoletti boundary value problem for a system of ordinary differential equations with pole-type singularities is investigated. The conditions of the existence, uniqueness, and non-uniqueness of a solution in the class of continuously differentiable functions are given. The classical...
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