We consider integral functionals of a simply connected domain which depend on the distance to the domain boundary. We prove an isoperimetric inequality generalizing theorems derived by the Schwarz symmetrization method. ...
We consider the problem of disturbance of a complex potential after insertion of a foreign inclusion in the form of a two-phase confocal elliptical annulus into a homogeneous medium. We investigate the cases of an arbitrary ...
We find new variants of Goursat problem solution in quadratures on the basis of the combination of the Riemann method and the cascade integration. The results are applied to two Volterra equations with particular integrals. ...
One of the main methods for studying iterated function systems is the attractor decomposition by a code map. In this paper we obtain an analog of such a decomposition for closed binary relations on compact Hausdorff spaces. ...
We construct two countable collections of operads of multidimensional cubic matrices. In every operad from one of these collections we select a suboperad such that its elements can be interpreted as some hypergraphs. We ...
We propose a general cutting method for conditional minimization of continuous functions. We calculate iteration points by partially embeddimg the admissible set in approximating polyhedral sets. We describe the features ...
In this paper we explore the well-known k-OBDD model of branching programs. We develop a method of representation of the k-OBDD computation process as an "automata-communication protocol" computation process. Our method ...
It is well-known that for modules over rings the Baer injectivity criterion takes place. In this paper we prove that under one additional condition this criterion is also valid for modules over semirings. We prove that a ...
In 1975 U. Haagerup has posed the following question: Whether every normal subadditive weight on a W*-algebra is σ-weakly lower semicontinuous? In 2011 the author has positively answered this question in the particular ...
We consider the structure of the set of piecewise meromorphic solutions to the linear conjugation problem for a two-dimensional vector and study its relations with the fractional-linear conjugation problem. We prove that ...
The aim of this paper is to describe all invariant affine connections on pseudo-Riemannian homogeneous spaces of dimensions 2 and 3. We present a complete local classification of Riemannian homogeneous spaces which is ...
We present a new approach to the approximation of continuous vector-valued functions by fractal interpolative vector-valued ones and find optimal values of their parameters. We illustrate the obtained results with examples. ...
In this paper we construct linear orderings whoseΔ 2 0 -spectra coincide with classes of all high0 and high1 degrees, respectively. We also prove that there exists a computable linear ordering such that its degree spectrum ...
We consider characteristic problems with normal derivatives for a hyperbolic systemwith two independent variables. Using the Riemann method, we obtain solvability conditions for these problems accurate to several arbitrary ...
We obtain new explicit forms of the Schwarz integral in the unit circle. By means of superpositions of logarithms we establish criteria for the appearance of singular boundary points and circles in inverse boundary-value ...
We consider scalarization issues for vector problems in the case where the preference relation is represented by a rather arbitrary set. An algorithm for weights choice for a priori unknown preference relations is suggested. ...