2019
Том 71
№ 11

All Issues

Aleksandrovich I. N.

Articles: 5
Brief Communications (Ukrainian)

Differential operators specifying the solution of an elliptictype iterated equation

Aleksandrovich I. N., Sidorov M. V.

↓ Abstract

Ukr. Mat. Zh. - 2019. - 71, № 3. - pp. 433-440

We construct differential operators that transform arbitrary holomorphic functions into regular solutions of elliptic-type equations of the second and higher orders. The Riquier problem is solved for the elliptic-type equation of the fourth order.

Article (Ukrainian)

Differential operators determining solutions of Elliptic equations

Aleksandrovich I. N.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1995. - 47, № 12. - pp. 1587–1592

We construct differential operatorsLg(z), Kg(z), Nf¯(z), Mf¯z) which map arbitrary functions holomorphic in a simply connected domainD of the planez=x+iy into regular solutions of the equation $$W_{z\bar z} + A(z,\bar z)W_{\bar z} + B(z,\bar z)W = 0$$ and present examples of the application of these differential operators to the solution of fundamental boundary-value problems in mathematical physics.

Article (Ukrainian)

Differential operators that determine the solution of a certain class of equations of elliptic type

Aleksandrovich I. N.

Full text (.pdf)

Ukr. Mat. Zh. - 1989. - 41, № 6. - pp. 825-828

Article (Ukrainian)

Representation of p-wave functions as linear combinations of wave functions and their derivatives

Aleksandrovich I. N., Pakhareva N. A.

Full text (.pdf)

Ukr. Mat. Zh. - 1982. - 34, № 2. - pp. 229-233

Article (Ukrainian)

Limiting values and inversion formulas along the cuts of the basic integral representation of $p$-analytic functions with characteristic $p = e^{αx}y^k$

Aleksandrovich I. N.

Full text (.pdf)

Ukr. Mat. Zh. - 1976. - 28, № 5. - pp. 579–591