On justification of general polynomial projection method for solving periodic fractional integral equations

© 2015, Pleiades Publishing, Ltd. In this paper we subtantiate a general polynomial projection method for solving periodic integral equations with Holder coefficients and fractional integral Weyl operator in the main part

About the convergence of the general projection polynomial method for a class of periodic fractional-integral equations

© 2014, Pleiades Publishing, Ltd. In this paper we provide justification of the general projection polynomial method for solution of periodical fractional integral equations in two Holder spaces

A variant of the method of quadratures for solving integral equations with fractional integral of Weyl in the main part

© Published under licence by IOP Publishing Ltd.In this paper the method of mechanical quadrature solutions fractional integral equation. Computational scheme quadrature method is based on the quadrature formula of rectangles with equidistant nodes, which is the formula of the highest trigonometric degree of accuracy, using a regularizing parameter. This decision is taken for the approximate trigonometric interpolation polynomial constructed from the values that make up the solution of the quadrature method. The substantiation of the method in Holder spaces

Test of local Lorenz invariance using a double-cavity laser system

We report the results of testing the local Lorentz invariance during five-month operation of a double-cavity laser system, where one cavity operates in a free generation mode while the frequency of the second cavity is stabilized with a nonlinear ultra-narrow absorption resonance of the methane molecule. An interpretation of the experimental results is given on the basis of the Robertson-Mansouri-Sexl formalism. © 2012 Pleiades Publishing, Ltd

First-level Dulkyn gravitational wave detector

The functional-block diagram of the Dulkyn gravitational wave detector is described. © 2009 Springer Science+Business Media, Inc

Test of local position invariance using a double-cavity laser system

The results of testing local position invariance, which is a constituent of the Einstein equivalence principle, in a "null" gravitational redshift experiment are reported. The processing of the experimental data collected during the five-month operation of a double-c avity laser system, where one cavity operates in the free generation mode and the frequency of the second cavity is stabilized with the nonlinear ultranarrow absorption resonance of the methane molecule, has confirmed the universality of the gravitational redshift law at a level of 0.9%. This result almost doubly improves the best existing accuracy (1.7%) of testing local position invariance for clocks of different physical natures. © 2010 Pleiades Publishing, Ltd

Test of local position invariance using a double-cavity laser system

The results of testing local position invariance, which is a constituent of the Einstein equivalence principle, in a "null" gravitational redshift experiment are reported. The processing of the experimental data collected during the five-month operation of a double-c avity laser system, where one cavity operates in the free generation mode and the frequency of the second cavity is stabilized with the nonlinear ultranarrow absorption resonance of the methane molecule, has confirmed the universality of the gravitational redshift law at a level of 0.9%. This result almost doubly improves the best existing accuracy (1.7%) of testing local position invariance for clocks of different physical natures. © 2010 Pleiades Publishing, Ltd

Test of local position invariance at the detector "Dulkyn-1"

We present the results of testing local position invariance in a "null" gravitational red-shift experiment, carried out in the framework of the Research and Engineering Project "Dulkyn." The experimental data, collected during the five-month operation of a double-cavity laser system, where one cavity operated in the free generation mode while the frequency of the second cavity was stabilized by the nonlinear supernarrow absorption resonance of the methane molecule, confirmed the universality of the gravitational redshift law at a level of 0.9%. © 2011 Pleiades Publishing, Ltd

Pentagonal two-loop ring interferometer

Results of work on the assembly and adjustment of an original pentagonal, two-loop interferometer are reported; the interferometer is a passive version of a compact laser gravitational wave detector. It is shown that the correlative automatic noise-compensation system developed for the project is capable of lowering the phase noise level in the resultant signal channel of the detector by two orders of magnitude. © 1998 American Institute of Physics

About the convergence of the general projection polynomial method for a class of periodic fractional-integral equations

© 2014, Pleiades Publishing, Ltd. In this paper we provide justification of the general projection polynomial method for solution of periodical fractional integral equations in two Holder spaces