Akhmetov M. U.
Rank criteria for the controllability of a boundary-value problem for a linear system of integro-differential equations with pulse influence
Ukr. Mat. Zh. - 2000. - 52, № 6. - pp. 723–730
We determine necessary and sufficient conditions for the solvability of boundary-value problems for a linear system of integro-differential equations with pulse influence. We prove theorems on the existence and integral representation of solutions of linear second order integral-sum Volterra equations and linear systems of integro-differential equations with pulse influence at fixed times.
Ukr. Mat. Zh. - 1995. - 47, № 3. - pp. 307–314
Rank conditions for control of linear pulse systems are established. The Pontryagin maximum principle is obtained in sufficient form. An example of control synthesis in a problem for linear pulse systems is given.
Ukr. Mat. Zh. - 1993. - 45, № 12. - pp. 1587–1594
A method for the investigation of differential equations with a nonclassical right-hand side  is applied to the study of the higher-order differentiability of solutions of differential equations with discontinuous right-hand sides with respect to the initial data. We use results from the theory of differential equations with pulse influence .
Ukr. Mat. Zh. - 1993. - 45, № 6. - pp. 753–762
On the expansion of solutions to differential equations with discontinuous right-hand side in a series in initial data and parameters
Ukr. Mat. Zh. - 1993. - 45, № 5. - pp. 715–717
The conditions under which the solutions of equations with discontinuous right-hand sides depend on the initial data and parameters analytically are investigated. A definition is introduced, which specifies this dependence in the case where a surface of discontinuity exists.
Asymptotic representation of solutions of regularly perturbed systems of differential equations with nonclassical right-hand side
Ukr. Mat. Zh. - 1991. - 43, № 10. - pp. 1298–1304
Ukr. Mat. Zh. - 1989. - 41, № 12. - pp. 1596–1601
Ukr. Mat. Zh. - 1989. - 41, № 8. - pp. 1028–1033
Ukr. Mat. Zh. - 1987. - 39, № 1. - pp. 74-80
Ukr. Mat. Zh. - 1984. - 36, № 4. - pp. 486 – 490