Daletskii Yu. L.
Differential-geometric structures in operads
Ukr. Mat. Zh. - 1996. - 48, № 12. - pp. 1661-1669
We describe certain structures of formal differential geometry in terms of the theory of operads and introduce group structures, Lie-algebra structures, exponential mappings, and an analog of the de Rham complex.
Some geometric-differential models in the class of formal operator power series
Baranovich A. M., Daletskii Yu. L.
Ukr. Mat. Zh. - 1996. - 48, № 6. - pp. 739-746
We consider an example of a formal construction of local differential geometry in which smooth functions regarded as morphisms are replaced by formal operator power series.
Differential structures in lie superalgebras
Daletskii Yu. L., Kushnerevich V. A.
Ukr. Mat. Zh. - 1996. - 48, № 4. - pp. 435-442
We develop a formal construction of an U-system as a fundamental concept of noncommutative differential geometry. By using the notion of “conditional differential” (an analog of the Hamiltonian mapping), we construct a series of brackets that generalize the classical Poisson brackets.
To the memory of Valentin Anatol'evich Zmorovich
Baranovskii F. T., Berezansky Yu. M., Buldygin V. V., Daletskii Yu. L., Dobrovol'skii V. A., Dzyadyk V. K., Lozovik V. G., Mitropolskiy Yu. A., Samoilenko A. M., Skrypnik I. V., Tamrazov P. M., Yaremchuk F. P.
Ukr. Mat. Zh. - 1994. - 46, № 8. - pp. 1110–1111
Diffusion random functions of multidimensional time
Daletskii Yu. L., Tsvintarnaya N. D.
Ukr. Mat. Zh. - 1982. - 34, № 1. - pp. 20-24
Cauchy problem for a linear parabolic system with an infinite-dimensional argument
Bokhonov Yu. Ye., Daletskii Yu. L.
Ukr. Mat. Zh. - 1979. - 31, № 6. - pp. 644–649
Bounds of solutions of Cauchy's problem for second-order parabolic equations independent of dimension
Ukr. Mat. Zh. - 1976. - 28, № 6. - pp. 807–812
Hyperbolic equations with operator coefficients and ultraparabolic systems
Daletskii Yu. L., Fadeeva E. A.
Ukr. Mat. Zh. - 1972. - 24, № 1. - pp. 92–95
An optimality criterion for extraction of a weak additive signal from random background noise of arbitrary nature
Daletskii Yu. L., Gatkin N. G.
Ukr. Mat. Zh. - 1971. - 23, № 1. - pp. 75–81
Stable integral manifolds of a nonlinear differential equation in banach space
Ukr. Mat. Zh. - 1968. - 20, № 3. - pp. 376–381
Integrals over a space of trees connected with nonlinear parabolic equations
Daletskii Yu. L., Zaplitnaya A. T.
Ukr. Mat. Zh. - 1965. - 17, № 5. - pp. 110-114
On a class of functionals integrated by non-positive distributions
Daletskii Yu. L., Ladokhin V. I.
Ukr. Mat. Zh. - 1963. - 15, № 4. - pp. 418-420
