On stability of nonlinear difference equations and some of their applications
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.
Authors
- Dauletbay Utebaev (ORCID: https://orcid.org/0000-0003-1252-6563)
- B. D. Utebaev (ORCID: https://orcid.org/0009-0006-8168-9904)
- Мерсаид Арипов (ORCID: https://orcid.org/0000-0001-5207-8852)
- R.Sh. Yarlashov (ORCID: https://orcid.org/0000-0003-4842-2205)
Institutions
- Karakalpak State University (UZ)
- National University of Uzbekistan (UZ)
Publication Details
- Journal
- BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
- Published
- 2024-09-30
- DOI
- https://doi.org/10.31489/2024m3/13-25
- Citations
- 1
- Primary Topic
- Mathematical and Theoretical Epidemiology and Ecology Models
- Type
- article
- Field-Weighted Citation Impact
- 0.54