Polynomial Approximation on the Union of Convex Continua

We consider polynomial approximations of analytic Λ^α(E)-functions in a compact set E ⊂ ℂ that satisfy the Holder condition with exponent α > 0. In the case, where E is the disjoint union of finitely many convex continua, we establish that the approximation rate is exponential inside the set E. Bibliography: 6 titles. __________ Translated from Problemy Matematicheskogo Analiza, No. 31, 2005, pp. 21–24.     

Reduction and noncommutative integration of linear differential equations

A new method is proposed for derivation of exactly integrable linear differential equations based on the theory of noncommutative integration. The equations are obtained by reduction from original equations which are integrable in the noncommutative sense, with a large number of independent variables. It is shown that the reduced equations cannot be solved by traditional methods, since they do not possess the required algebraic symmetry.V. V. Kuibyshev Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 55–60, November, 1993.     

Influence of copper ions and the crystallographic orientation on the surface properties of germanium in contact with an electrolyte

The activation peculiarities and trapping and recombination center parameters caused by copper ion adsorption on a differently oriented germanium surface in contact with a neutral electrolyte were investigated. It is shown that the anisotropy of the fast surface state (FSS) parameters, including the recombination centers, agrees with those for a “pure” and a gold-doped surface, while the activation kinetics is closer to the silverdoped case. From a comparison between the results obtained in this paper and earlier results there follows that the individuality of the metal does not appear essentially in the parameters of activated FSS since these latter are quite close in all cases. It can be assumed that the metal-germanium surface layer bond is the only necessary condition for the generation of a definite kind of structural defects which perform the role of recombination and trapping centers.     

Generation of new exactly solvable potentials of a nonstationary Schrödinger equation

Institute of High-Current Electronics, Siberian Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 87, No. 3, pp. 426–433, June, 1991.