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The study of boundary-value problems for a singular B-elliptic equation by the method of potentials″ = sum p-2 j=1∂ 2/∂x j 2, B xp-1 = ∂ 2/∂x j 2+k/∂x p-1∂/∂/∂x p-1 is the Bessel operator, 0 < α < 1 andk

The Effectiveness of the Artificial Intelligence Development as a Factor in the Nonlinear Development of Social Systems in the “horizons” of the singularity due to the creation of machine mind are revealed. Special attention is paid

Sharp two-sided estimates of the approximation and entropy numbers of integral operators on the semiaxisSummary: "We give a short survey on sharp two-sided estimates of the singular, approximation

Applications of integral transforms composition method to wave-type singular differential equations and index shift transmutations of solutions to a wide class of singular differential equations, including ones with Bessel operators

A SHORT SURVEY OF RECENT RESULTS ON BUSCHMAN-ERDELYI TRANSMUTATIONS's results on the theory of the Buschman-Erdelyi transmutations and some of their applications. The operators

Inverse Sturm-Liouville problem with singular potential and spectral parameter in the boundary conditionsInverse Sturm-Liouville problem with singular potential and spectral parameter in the boundary

On the unique solvability of boundary value problems for an abstract Euler-Poisson-Darboux equations on a finite interval of abstract singular equations that are formulated in terms of the zeros of the modified function Bessel

Asymptotics of eigenfunctions and eigenvalues of a singularly perturbed relativistic analogue of the Schrödinger equation with an arbitrary potential the operator coshleft( frac {ihslash}{mc}frac d{dr}right) to a finite part of its Taylor series. The constant c

On boundedness of a certain class of hardy–steklov type operators in lebesgue spaces in terms of given parameters 0 < p, q < ∞, strictly increasing boundaries a(x) and b(x), locally integrable

On Asymptotic Expansion of the Conormal Symbol of the Singular Bochner-Martinelli Operator on the Surfaces with Singular PointsWe study the conormal symbol of the singular Bochner-Martinelli integral on a compact closed

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