On stability of nonlinear difference equations and some of their applications
| dc.contributor.author | Aripov, M.M. | |
| dc.contributor.author | Utebaev, D. | |
| dc.contributor.author | Utebaev, B.D. | |
| dc.contributor.author | Yarlashov, R.Sh. | |
| dc.date.accessioned | 2024-12-10T11:31:09Z | |
| dc.date.available | 2024-12-10T11:31:09Z | |
| dc.date.issued | 2024-09-30 | |
| dc.description.abstract | The issues of stability in solving nonlinear difference equations were considered. Based on a generalized difference analog of the well-known Bihari lemma, stability conditions for a trivial solution based on initial data were obtained, and an a priori estimate of stability under permanent disturbances was determined. The results were used to study the stability of solving explicit and implicit difference schemes approximating nonlinear parabolic equations. | ru_RU |
| dc.identifier.citation | Aripov M.M. On stability of nonlinear difference equations and some of their applications/Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series. -2024. №3. Р.13-25. | ru_RU |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/19174 | |
| dc.language.iso | en | ru_RU |
| dc.publisher | Академик Е.А. Бөкетов атындағы Қарағанды университеті | ru_RU |
| dc.relation.ispartofseries | Қарағанды университетінің хабаршысы. Математика сериясы.= Вестник Карагандинского университета. Серия Математика. = Bulletin of the Karaganda University. Mathematics Series.;№3(115)/2024 | |
| dc.subject | nonlinear difference equations | ru_RU |
| dc.subject | difference schemes | ru_RU |
| dc.subject | a priori estimates | ru_RU |
| dc.subject | stability | ru_RU |
| dc.title | On stability of nonlinear difference equations and some of their applications | ru_RU |
| dc.type | Article | ru_RU |