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Refined contour-and-solid theorems for subharmonic functions
Springer Science and Business Media LLC - Tập 40 Số 2 - Trang 180-188 - 1988
П. М. Тамразов
The solvability of elliptic problems in limiting regions
Springer Science and Business Media LLC - Tập 25 - Trang 82-85 - 1973
L. A. Ivanov
On the Asymptotic Integration of a System of Linear Differential Equations with a Small Parameter in the Coefficients of a Part of Derivatives
Springer Science and Business Media LLC - Tập 54 - Trang 1825-1841 - 2002
A. M. Samoilenko
We propose an asymptotic method for the integration of one type of systems of linear differential equations with a small parameter in the coefficients of a part of derivatives.
How often is the sum of independent random variables larger than a given number?
Springer Science and Business Media LLC - Tập 34 - Trang 234-239 - 1982
D. V. Gusak
Dirichlet problem for axisymmetric potential fields in a disk of the meridian plane. I
Springer Science and Business Media LLC - Tập 52 - Trang 564-585 - 2000
S. A. Plaksa
We develop new methods for the solution of boundary-value problems in the meridian plane of an antisymmetric potential solenoidal field with regard for the nature and specific features of axisymmetric problems. We determine the solutions of the Dirichlet problems for an axisymmetric potential and the Stokes flow function in a disk in an explicit form.
Evolutionary Pseudodifferential Equations with Smooth Symbols in S-Type Spaces
Springer Science and Business Media LLC - Tập 75 - Trang 861-888 - 2023
Vasyl Horodets’kyi, Roman Petryshyn, Olha Martynyuk
We study an evolutionary equation with an operator (i∂/∂x), where φ is a smooth function satisfying certain conditions. As special cases of this equation, we get a partial differential equation of parabolic type with derivatives of finite and infinite orders and an equation with certain operators of fractional differentiation. It is shown that the restriction of the operator (i∂/∂x) to some spaces... hiện toàn bộ
Justification of the fourier method for an inhomogeneous hyperbolic equation with random right-hand side
Springer Science and Business Media LLC - Tập 56 - Trang 741-752 - 2004
B. V. Dovhai
We consider an inhomogeneous hyperbolic equation with homogeneous initial and boundary conditions and a random right-hand side. In the case where the right-hand side of the equation is a centered sample-continuous Gaussian field, we establish conditions for the existence of a solution of the first boundary-value problem of mathematical physics in the form of a series uniformly convergent in probab... hiện toàn bộ
Best approximation of sums of elements and a theorem of Newman and Shapiro
Springer Science and Business Media LLC - Tập 41 - Trang 1395-1401 - 1989
M. I. Ganzburg
Iterative Method for the Solution of Linear Equations with Restrictions
Springer Science and Business Media LLC - Tập 54 - Trang 577-591 - 2002
A. Yu. Luchka, T. A. Kucheruk
We propose a new approach to the investigation of linear equations with restrictions. For the problem considered, we establish consistency conditions and justify the application of an iterative method.
On Homomorphisms of Algebras Generated by Projectors and Coxeter Functors
Springer Science and Business Media LLC - Tập 55 - Trang 1480-1496 - 2003
S. V. Popovich, Yu. S. Samoilenko
We consider algebras generated by idempotents in Banach spaces and orthoprojectors in Hilbert spaces whose sum is a multiple of the identity. We construct several functors generated by homomorphisms of the algebras considered between categories of representations. We investigate properties of these functors and present their applications.
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