Eydelman S. D.
Ukr. Mat. Zh. - 2000. - 52, № 11. - pp. 1566-1583
We propose a general method for the solution of game problems of approach for dynamic systems with Volterra evolution. This method is based on the method of decision functions and uses the apparatus of the theory of set-valued mappings. Game problems for systems with Riemann–Liouville fractional derivatives and regularized Dzhrbashyan–Nersesyan derivatives (fractal games) are studied in more detail on the basis of matrix Mittag-Leffler functions introduced in this paper.
Ukr. Mat. Zh. - 1994. - 46, № 4. - pp. 462–467
We study functions that are harmonic on a strip and satisfy nonlocal boundary conditions, establish constraints that should be imposed on the coefficients in the boundary conditions to guarantee the uniqueness of nonnegative solutions, and present examples when the uniqueness theorems are not true.
Ukr. Mat. Zh. - 1993. - 45, № 1. - pp. 120–127
Necessary and sufficient conditions are established for the unique solvability of problems of determining an unknown right-hand side of a differential equation with an unbounded operator coefficient under an additional boundary condition.
Ukr. Mat. Zh. - 1990. - 42, № 4. - pp. 572-575
On the application of the principle of averaging for the solution of some parabolic boundary value problems
Ukr. Mat. Zh. - 1973. - 25, № 5. - pp. 621—631
Solutions of certain elliptic equations that are positive in the neighborhood of isolated singular points
Ukr. Mat. Zh. - 1972. - 24, № 4. - pp. 548–554
Ukr. Mat. Zh. - 1968. - 20, № 5. - pp. 642–653
Solvability of the Cauchy problem for second-ordee parabolic equations in the class of arbitrarily rising functions
Ukr. Mat. Zh. - 1967. - 19, № 1. - pp. 108–113