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T. P. Bochkareva B. V. Passet K. R. Popov N. V. Platonova T. I. Koval'chuk 《Chemistry of Heterocyclic Compounds》1987,23(10):1084-1089
A novel method has been developed for the synthesis of sulfonic acids of five-membered heterocycles containing two heteroatoms, with a solution of sulfur trioxide in 1,2-dichloroethane. High yields of the required products are obtained, under conditions which are mild in comparison with those used in earlier methods. The mechanism of sulfonation is discussed, and some azole·SO3 complexes have been obtained and described.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 10, pp. 1353–1359, October, 1987. 相似文献
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The problem of the nonlinear wave deformation of the free surface of a liquid due to the translational motions of the containing vessel is examined. Bogolyubov's averaging method is used to investigate the characteristics of the wave motions of the liquid in the resonance zones in the case of a cylindrical vessel. Relations are obtained characterizing the variation of the amplitude of the circular wave with the frequencies of the external perturbations in the steady-state wave process; the conditions of occurrence and stability of such processes are analyzed.Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 120–125, May–June, 1989. 相似文献
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On Free Nonlinear Vibrations of Fluid-Filled Cylindrical Shells with Multiple Natural Frequencies 总被引:1,自引:0,他引:1
Nonlinear free vibrations of a cylindrical shell fully filled with a perfect incompressible fluid are studied. The case is
examined where two natural frequencies of the shell are close
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Published in Prikladnaya Mekhanika, Vol. 41, No. 10, pp. 127–138, October 2005 相似文献
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L. V. Koval'chuk 《Ukrainian Mathematical Journal》1993,45(2):269-276
We establish a one-to-one correspondence between the processes taking values on the Lie group and its Lie algebra. This correspondence preserves the main properties of the processes: semimartingale property with respect to a certain flow, independence of increments, and continuity.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 2, pp. 251–257, February, 1993. 相似文献
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S. M. Koval'chuk 《Journal of Mathematical Sciences》1998,90(2):2042-2047
We consider the inverse problem of simultaneously determining two time-dependent thermophysical characteristics—the coefficient
of thermal conductivity and the heat capacity per unit volume—for a body having the shape of a layer situated between two
other layers with known thermophysical characteristics. The necessary measurements are carried out on their outside boundaries.
The problem is reduced to a system of nonlinear equations for which the existence of a solution is established by using Schauder's
fixed-point theorem. We find conditions that guarantee that the solution of the inverse problem is unique.
Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 40, No. 2, 1997, pp. 153–159. 相似文献
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