2018
Том 70
№ 5

All Issues

Parasyuk O. S.

Articles: 7
Brief Communications (Russian)

N. N. Bogolyubov's research in mathematics and theoretical physics

Mitropolskiy Yu. A., Parasyuk O. S., Petrina D. Ya., Samoilenko A. M., VIadimirov V. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 9. - pp. 1156–1164

Article (Ukrainian)

A survey of the main works of N. N. Bogolyubov in mathematics and theoretical physics

Mitropolskiy Yu. A., Parasyuk O. S., VIadimirov V. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1979. - 31, № 4. - pp. 341–350

Anniversaries (Russian)

Nikolai Nikolaevich Bogolyubov (on his sixtieth birthday)

Mitropolskiy Yu. A., Parasyuk O. S., Shelest V. P.

Full text (.pdf)

Ukr. Mat. Zh. - 1969. - 21, № 4. - pp. 435–446

Article (Ukrainian)

Yurii Alekseevich Mitropol'skii (on his 50th birthday)

Glushkov V. M., Korolyuk V. S., Lykova O. B., Parasyuk O. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1967. - 19, № 1. - pp. 3–8

Brief Communications (Russian)

On dual dispersion relations

Parasyuk O. S.

Full text (.pdf)

Ukr. Mat. Zh. - 1961. - 13, № 3. - pp. 100-103

BookReview (Russian)

S. Z. Stokalo, Operational methods and their development in the theory of linear differential equations with variable coefficients

Mitropolskiy Yu. A., Parasyuk O. S., Sokolov Yu. D.

Full text (.pdf)

Ukr. Mat. Zh. - 1961. - 13, № 3. - pp. 116-117

Article (Russian)

On Bogoliubov's Theory of R operation

Parasyuk O. S.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1960. - 12, № 3. - pp. 287 - 307

A new, more exact exposition of Bogoliubov's theory of R-operation, which is of great importance in the quantum theory of field, is given in this paper. A definition of R-operation is contained in §§3 and 5. Theorem 2, confirming the possibility of writing down the contribution from any Feinman diagram after applying R-operation to it in the form of (8. 3), is the basic one. The final result consists in the proof of the limiting ratio (9 4).