The paper considers a mixed problem for a quasilinear system of hyperbolic equations in Riemann invariants with dissipative nonlinear boundary conditions. To numerically solve the mixed problem, an initial-boundary difference problem based on an upwind difference scheme is proposed. A discrete Lyapunov function is constructed for the numerical solution of the initial-boundary difference problem for nonlinear problems. A theorem on the exponential stability of the stationary state of a quasilinear system is proven.
| Mualliflar | Aloev, R., Nematova, D., Abdullah, I., Mohd, M. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2026-03-25 |
| Jild | 70 |
| Son | 1 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2026-1-1 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-1-1 · Maqolaning asl sahifasi
Exponential stability, hyperbolic system, mixed problem
| APA | Aloev, R., Nematova, D., Abdullah, I., & Mohd, M. (2026). Lyapunov stability of an upwind difference scheme for a quasilinear hyperbolic system. O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-1 |
|---|---|
| GOST (OAK) | Aloev, R. va b. Lyapunov stability of an upwind difference scheme for a quasilinear hyperbolic system // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 1. – DOI: 10.29229/uzmj.2026-1-1. |
| MLA | Aloev, R., Nematova, D., Abdullah, I., and Mohd, M. “Lyapunov stability of an upwind difference scheme for a quasilinear hyperbolic system.” O‘zbekiston matematika jurnali, 70(1), 2026. https://doi.org/10.29229/uzmj.2026-1-1 |
| Chicago | Aloev, R., Nematova, D., Abdullah, I., and Mohd, M. “Lyapunov stability of an upwind difference scheme for a quasilinear hyperbolic system.” O‘zbekiston matematika jurnali, 70(1) (2026). https://doi.org/10.29229/uzmj.2026-1-1 |
| Harvard | Aloev, R., Nematova, D., Abdullah, I., and Mohd, M (2026) ‘Lyapunov stability of an upwind difference scheme for a quasilinear hyperbolic system’, O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-1 |
| BibTeX | @article{aloevr2026,
title = {Lyapunov stability of an upwind difference scheme for a quasilinear hyperbolic system},
author = {Aloev, R. and Nematova, D. and Abdullah, I. and Mohd, M.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {1},
doi = {10.29229/uzmj.2026-1-1},
url = {https://doi.org/10.29229/uzmj.2026-1-1}
} |
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