Polozhii G. N.
Ukr. Mat. Zh. - 2002. - 54, № 12. - pp. 1587-1588
Ukr. Mat. Zh. - 1968. - 20, № 3. - pp. 325–339
On limiting values and reversion formula along the sections of the basic integral representation of $p$-analytical functions with characteristic $p = x^k$. II
Ukr. Mat. Zh. - 1965. - 17, № 2. - pp. 61-87
On limiting values and conversion formulae along sections of the basic integral representations of $p$-analytical functions with characteristic $p = x^k$. I
Ukr. Mat. Zh. - 1964. - 16, № 5. - pp. 631-656
Ukr. Mat. Zh. - 1964. - 16, № 2. - pp. 254-259
On boundary problems of the axisymmetrical theory of elasticity. Method of $p$-analytical functions of a complex variable
Ukr. Mat. Zh. - 1963. - 15, № 1. - pp. 25-45
A new method is presented for solving axisymmetrical problems of the theory of elasticity, based on the application of $p$-analytical functions of a complex variable. An integral transformation of axisymmetrical stressed states into plane stressed states is constructed.
Ukr. Mat. Zh. - 1960. - 12, № 3. - pp. 308 - 323
The author proposes an effective method of solving boundary problems for equations with partial finite differences corresponding to the two-dimensional and three-dimensional problems of mathematical physics. The essence of the method consists in finding solutions in explicit form or in the form of formulae with a small number of parameters determined from a corresponding small number of algebraic equations. For partial differential equations of the second order with constant coefficients this is attained in the two-dimensional case (24) and in the three-dimensional case (50) by means of the formulae established by the author (9) and (81) respectively.