DOAJ Open Access 2024

On stability of nonlinear difference equations and some of their applications

M.M. Aripov D. Utebaev B.D. Utebaev R.Sh. Yarlashov

Abstrak

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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (4)

M.M. Aripov

D. Utebaev

B.D. Utebaev

R.Sh. Yarlashov

Format Sitasi

APA MLA BibTeX

Aripov, M., Utebaev, D., Utebaev, B., Yarlashov, R. (2024). On stability of nonlinear difference equations and some of their applications. https://doi.org/10.31489/2024m3/13-25

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.31489/2024m3/13-25
Akses: Open Access ✓