Vol. 39 No. 2 (207) (2005)

In this work the space (X, Λ) with limit operation (constracted by I. G. Khachatryan) is studied with the help of non-standard models. With the help of non-standard extentions are described the complete systems of neighbourhoods of (X, Λ), the open and closed sets, the convergence, the limit points of the set, the spaces as well as separation spaces.

The problem of rapprochement with m target sets when movement of system is described by system of the linear stochastic differential equations is considered. The stochastic hypothetical mismatch is constructed. The stochastic differential of a hypothetical mismatch gives a condition for definition of extreme strategy.

In an extensive form game is considered partial-cooperation. The optimal behavior and the method of finding the value of the game is represented for that game. During the game discussing the auxiliary games for finding distribution between players consisting coalition, and equilibrium condition by Nash, when the coalition is available. There is an example.

A task of priority selection of optimal control actions for control of variable-mass particle motion in gravitational field is discussed. On the basis of obtained results, it is shown by a numerical example that the quality criterion minimization on priority principle results in less value of quality criterion than the minimization in the usual sense.

A fragment of hierarchy of the proof systems for intuitionistic propositional logic under the p-simulation relation is constructed. These systems are resolution system, natural, Hilbert-style system and sequence system. The obtained hierarchy is the same as the hierarchy for analogous systems of classical logic.

It is treated the superfocusing conditions of the surface plasmon polaritons (SPPs) in the system of two touching cones, when one of the cones is of metal and the other is a semiconductor. The regularities of increasing of wave fields SPPs depending on the parameters of system are discovered. The considering phenomena give possibility to propose the experimental way for exploring the anomalous enhancement of the nonlinear optical response from rough surface.

The superconducting ceramic samples in Y–Ba–Cu–O system with various content of fluorine are synthesized. It is found, that even slight doping of YBa₂Cu₃O_yF_x by fluorine (x=0.05) shifts of the superconducting transition towards high temperatures by 10–12 K. The obtained data are interpreted suggesting the generation of acceptor levels in a forbidden band and presence of holes in YBa₂Cu₃O_y when doping by fluorine, that enhances the temperature of charge carrier «pairing».

Different versions of X-ray asymmetric interferometers with Bragg reflections are investigated. These interferometers with beam splitter, reflecting mirrors and analyzer are constructed from monolithic Si-crystal. Versions of BBB interferometers with optimal asymmetry are calculated and experimentally tested.

The efficiency of the solar energy conversion by water photoelectrolysis method is mainly determined by the properties of the semiconductors photoanode which performs function of photocataliser. One of the perspective ways of optimization of these parameters is the usage of the new triple- and four-compound metal-oxide. For this purpose solid solutions of different compounds in Fe₂O₃– Nb₂O₅ system are synthesized. The electrophysical and electrochemical properties of the synthesized samples are studied. It is shown that the electrodes made on the base of homogeneous solid solution of FeNbO₄ provide efficient photoelectrolysis process at the most optimal combination of important parameters.

DNA heat stability is increasing on 1.5℃ under the action of weak intensity millimetric waves during 1.5 hours. It is supposed, that the augmentation of DNA heat stability is caused by change of bound water properties, dehydration of Na ions.