Plotnikov V. A.
Ukr. Mat. Zh. - 1998. - 50, № 1. - pp. 148–153
For quasidifferential equations in semilinear metric spaces, we consider the problem of existence, uniqueness, and continuity of solutions and the problem of justification of the averaging method.
Ukr. Mat. Zh. - 1997. - 49, № 11. - pp. 1504–1511
We consider the averaging method for pulse quasidifferential equations in metric spaces.
On averaging of differential inclusions in the case where the average of the right-hand side does not exist
Ukr. Mat. Zh. - 1996. - 48, № 11. - pp. 1572-1575
We consider the problem of application of the averaging method to the asymptotic approximation of solutions of differential inclusions of standard form in the case where the average of the right-hand side does not exist.
Ukr. Mat. Zh. - 1995. - 47, № 11. - pp. 1526–1532
We justify a method of complete and partial averaging on finite and infinite intervals for differential inclusions with many-valued pulses.
Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1388–1392
An averaging method is justified for standard aperiodic systems with parameters and discontinuous right-hand sides under the condition of aperiodicity and applied to the problems of control over fracture surfaces.
Ukr. Mat. Zh. - 1993. - 45, № 1. - pp. 140–142
The scheme of partial averaging for systems of standard form with discontinuous right-hand sides is presented. The solutions are justified and estimated without assuming periodicity of the right-hand sides of the systems.
Ukr. Mat. Zh. - 1989. - 41, № 7. - pp. 995-997
Ukr. Mat. Zh. - 1979. - 31, № 5. - pp. 573–576
Ukr. Mat. Zh. - 1979. - 31, № 2. - pp. 166– 171