Integral manifolds of systems of differential equations with a random right-hand side in a Banach space

The concept of an integral manifold of a system of differential equations with a random right-hand side is introduced. The problem of the existence of an integral manifold of a certain class of differential equations in a Banach space and several of its properties are investigated.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 44, No. 1, pp. 17–21, January, 1992.     

Reactions of highly electrophilic polyfluorocarbonyl compounds with primary arylamines

C-Hydroxyalkylation of primary arylamines by highly electrophilic polyfluorocarbonyl compounds results from the direct reaction of the initial reagents and is competitively inhibited by equilibrium N-hydroxyalkylation. The presence of steric hindrances to the formation of N-hydroxyalkylation products and an increase in the ring C-nucleophilicity facilitate the C-hydroxyalkylation reaction.Deceased.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No. 2, pp. 383–389, February, 1990.     

Free-radical reactions of methyl trifluoropyruvate with aldehydes

Methyl trifluoropyruvate reacts with aldehydes in the presence of catalytic amounts of benzoyl peroxide at 130–140°C to give β,β,β-trifluoro-α-(methoxycarbonyl)ethyl carboxylates. UV irradiation makes oligomerization of the initial ketoester predominant. Deceased. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 9, pp. 1763–1766, September, 1998.     

The conference “Nonlinear problems of differential equations and mathematical physics. The second Bogolyubov readings”

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 4, p. 471, April, 1994.     

Reactions of alkenes with phosphorus pentachloride and trichlorosilane

Conclusions Alkenyldichlorophosphines are formed in high yields when alkenes are phosphorylated by treatment with PCl₅ in the presence of hydrosilanes under conditions that promote the formation of trimolecular complexes of alkene, PCl₅, and hydrosilane.Translated from Izvestiya Akademii Nauk SSSR, Seriya Khimicheskaya, No.1, pp.207–209, January, 1976.