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Browsing 02. Журналы by Issue Date
Now showing items 1-20 of 393
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(2012-06-26)Let i and o be two bounded open subsets of Rn containing 0. Let Gi be a (nonlinear) map from @ i × Rn to Rn. Let ao be a map from @ o to the set Mn(R) of n × n matrices with real entries. Let g be a function from ...
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(2012-06-26)For the equation (t)|y0(t)|p−2y0(t) 0 + v(t)|y(t)|p−2y(t) = 0, t 2 (a, b) where 1 < p < 1, we establish the properties of oscillation and nonoscillation.
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(2012-06-26)We studv the Sturm-Liouville operator Ly = l(y) = + q(x)y with ax2 Diriehlet boundary conditions y(0) = y(n) = 0 in the space L2[0,n], We assume that the potential has the form q(x) = u'(x), where u G W|[0,n] with 0 < в ...
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(2012-06-26)Mathematical models of thermocontrol processes are considered. In the model under consideration, the temperature inside a domain is controlled by m convectors acting on the boundary. The control parameter is a vector-function, ...
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(2012-06-26)It is known that eigenfunctions of many elliptic operators such as Schr¨odinger operators decrease exponentially. It this paper we suggest a different idea of the proof of this fact. This idea is based on a special ...
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(2012-06-26)The harmonic Green and Neumann functions are constructed for a particular triangle in the complex plane, which by reflections across its sides provides a triangulation of the plane.
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(2012-06-26)In this paper the class of stochastic processes Np,q(F) is introduced and an interpolation theorem for a quasilinear transform is proved. This theorem is a generalization of the Marcinkiewicz interpolation theorem.
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(2012-06-26)An inverse coe cient problem for the nonlinear biharmonic equation Au := (g(»2(u))(ux1x1 + (1/2)ux2x2)x1x1 + (g(»2(u))ux1x2)x1x2 + (g(»2(u))(ux2x2 + (1/2)ux1x1))x2x2 = F(x), in ½ R2, is considered. This problem arises ...
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(2012-06-26)The dynamical systems method (DSM) is justified for solving operator equations F(u) = f, where F is a nonlinear operator in a Hilbert space H. It is assumed that F is a global homeomorphism of H onto H, that F 2 C1 loc, ...
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(2012-06-26)The notions of the real coupling constant and the index for realW*-algebras are introduced and investigated. The main tool in our approach is the reduction of real W*-algebras to involutive *-anti-automorphisms of their ...
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(2012-06-26)The notion of a hypodecreasing function is introduced. Some properties of hypodecreasing functions are proved and several examples are given. It is established that the Hardy-type inequality for Lp-spaces with 0 < p < 1 ...
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(2012-06-26)In this work an inverse problem of spectral analysis for a quadratic pencil of operators with general nonselfadjoint nonseparated boundary conditions is considered. Uniqueness and duality theorems are proved, an algoritm ...
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(2012-06-26)In this paper we consider iterated norms of Nikol’skii–Besov type in the spaces B' (· · · (B' (Lp( ))) · · · ) with generalized smoothness ' and study their properties.
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(2012-06-26)The problem of the boundedness of a Calderon-Zygmund singular integral operator T in local Morrev-tvpe spaces is reduced to the boundedness of the Hardy operator in weighted Lp-spaces on the cone of non-negative non-increasing
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(2012-06-26)For general Carnot groups, we obtain coercive estimates for homogeneous di erential operators with constant coe cients, kernels of which have nite dimension. We develop new Sobolev-type integral representations of di ...
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(2012-06-26)A linear differential operator P(D) with constant coefficients is called almost hypoelliptic if all derivatives P) of the characteristic polvnomial P(£) can be estimated above via P(£). In this paper it is proved that all ...
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(2012-06-26)In the paper we answer the question when in nite dimensions nite unions and intersections of closed half-spaces are shifts of sets stable under shrinkings or dilatations and give explicit descriptions of the kernels ...
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(2012-06-26)An oriented bipartite graph is the result of assigning a direction to each edge of a simple bipartite graph. For any vertex x in an oriented bipartite graph D(U, V ), let d+x and d−x respectively denote the outdegree and ...
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(2012-06-26)Let q(x) be real-valued compactly supported su ciently smooth function. It is proved that the scattering data A(−¯, ¯, k) 8¯ 2 S2, 8k > 0, determine q uniquely.
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(2012-06-26)The convergence of families of linear polynomial operators with kernels generated by matrices of multipliers is studied in the scale of the Lp-spaces with 0 < p · +1. An element an, k of generating matrix is represented ...
Now showing items 1-20 of 393