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Existence results for problems with monotone nonlinear boundary conditions obtained in the previous publications by the author for functional differential equations are transferred to the case of nonconvex differential inclusions with the help of the selection theorem due to A. Bressan and G....
When the coefficients are crossed bimodules, Guin's non-abelian cohomology Guin, C. R. Acad. Sci. Paris 301: 337–340, 1985, Guin, J. Pure Appl. Algebra 50: 109–137, 1988 is extended in dimensions 1 and 2, and a nine-term exact cohomology sequence is obtained.
Explicit exact formulas are obtained for the number of representations of positive integers by some direct sums of quadratic forms and .
The notion of an internal category in a left exact cosimplicial category is introduced. For any topos over sets a certain left exact cosimplicial category is constructed functorially and the category of internal categories in it is investigated. The notion of a fundamental group is defined for...
Sufficient conditions of solvability and unique solvability of the boundary value problem u ( m ) ( t ) = f ( t , u ( τ 11 ( t )), . . . , u ( τ 1 k ( t )), . . . , u ( m –1) ( τ m 1 ( t )), . . . . . . , u ( m –1) ( τ mk ( t ))), u ( t ) = 0, for t ∉ a , b , u ( i –1) ( a ) = 0 ( i = 1, . . . ,...
Sufficient conditions are found for the bifurcation of flow of a viscous heat-conducting fluid between two rotating permeable cylinders.
Using a multidimensional analogue of Vinogradov's inequality for a trigonometric integral, the upper bounds are constructed for the moduli of the characteristic functions both of the system of monomials in components of a random vector with an absolutely continuous distribution in and of the...
Boundary properties of first-order partial derivatives of the Poisson integral are studied in the half-space .
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