2019
Том 71
№ 8

All Issues

Petryshyn Ya. R.

Articles: 3
Article (Ukrainian)

Averaging of a multipoint problem with parameters for an impulsive oscillation system

Petryshyn Ya. R.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 2000. - 52, № 3. - pp. 419-423

By using the averaging method, we prove the solvability of a multipoint problem with parameters for a nonlinear oscillation system with pulse influence at fixed times. We establish estimates for the deviation of solutions of the original and averaged problems.

Article (Ukrainian)

Boundary-value problems with parameters for a multifrequency oscillation system

Petryshyn Ya. R., Samoilenko A. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1997. - 49, № 4. - pp. 581–589

By using the averaging method, we prove the solvability of boundary-value problems with parameters for nonlinear oscillation systems. We obtain estimates for the deviation of solutions of averaged problems from solutions of original problems.

Article (Ukrainian)

Averaging method in multipoint problems of the theory of nonlinear oscillations

Petryshyn Ya. R., Samoilenko A. M.

↓ Abstract   |   Full text (.pdf)

Ukr. Mat. Zh. - 1996. - 48, № 8. - pp. 1096-1103

By using the averaging method, we prove the solvability of multipoint problems for nonlinear oscillation systems and estimate the deviation of solutions of original and averaged problems.