In this paper, we study the problem of stabilizing the equilibrium state for a hyper bolic system with negative nonlocal characteristic velocities and measurement error. The formulation of a mixed boundary control problem for the indicated hyperbolic system is given. The stability in the l2-norm with respect to a discrete perturbation of the equilib rium state of an initial-boundary difference problem is determined. A discrete Lyapunov function is constructed and a stability theorem for the equilibrium state of an initial boundary difference problem in the l2-norm with respect to a discrete perturbation is proved.
| Mualliflar | Aloev, R.D., Berdyshev, A., Alimova, V., Алоев, Р.Д., Бердышев, А., Алимова, В. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2024-05-21 |
| Son | 1 |
| Betlar | 122-139 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| Indeksga qo‘shilgan | 2026-08-27 |
hyperbolic equation, nonlocal characteristic velocity, stability, explicit difference scheme, гиперболическое уравнение, нелокальная характеристическая скорость, устойчивость, явная разностная схема
| APA | Aloev, R.D., Berdyshev, A., Alimova, V., Алоев, Р.Д., Бердышев, А., & Алимова, В. (2024). STUDY OF EXPONENTIAL STABILITY OF A NUMERICAL SOLUTION OF A HYPERBOLIC SYSTEM WITH NEGATIVE NONLOCAL CHARACTERISTIC VELOCITIES AND MEASUREMENT ERROR. Ҳисоблаш ва амалий математика муаммолари, (1), 122-139. https://journals.airi.uz/index.php/pvpm/article/view/8 |
|---|---|
| GOST (OAK) | Aloev, R.D. va b. STUDY OF EXPONENTIAL STABILITY OF A NUMERICAL SOLUTION OF A HYPERBOLIC SYSTEM WITH NEGATIVE NONLOCAL CHARACTERISTIC VELOCITIES AND MEASUREMENT ERROR // Ҳисоблаш ва амалий математика муаммолари. – 2024. – № 1. – P. 122-139. |
| MLA | Aloev, R.D., Berdyshev, A., Alimova, V., Алоев, Р.Д., Бердышев, А., and Алимова, В. “STUDY OF EXPONENTIAL STABILITY OF A NUMERICAL SOLUTION OF A HYPERBOLIC SYSTEM WITH NEGATIVE NONLOCAL CHARACTERISTIC VELOCITIES AND MEASUREMENT ERROR.” Ҳисоблаш ва амалий математика муаммолари, (1), 122-139, 2024. https://journals.airi.uz/index.php/pvpm/article/view/8 |
| Chicago | Aloev, R.D., Berdyshev, A., Alimova, V., Алоев, Р.Д., Бердышев, А., and Алимова, В. “STUDY OF EXPONENTIAL STABILITY OF A NUMERICAL SOLUTION OF A HYPERBOLIC SYSTEM WITH NEGATIVE NONLOCAL CHARACTERISTIC VELOCITIES AND MEASUREMENT ERROR.” Ҳисоблаш ва амалий математика муаммолари, (1), 122-139 (2024). https://journals.airi.uz/index.php/pvpm/article/view/8 |
| Harvard | Aloev, R.D., Berdyshev, A., Alimova, V., Алоев, Р.Д., Бердышев, А., and Алимова, В (2024) ‘STUDY OF EXPONENTIAL STABILITY OF A NUMERICAL SOLUTION OF A HYPERBOLIC SYSTEM WITH NEGATIVE NONLOCAL CHARACTERISTIC VELOCITIES AND MEASUREMENT ERROR’, Ҳисоблаш ва амалий математика муаммолари, (1), 122-139. https://journals.airi.uz/index.php/pvpm/article/view/8 |
| BibTeX | @article{aloevrd2024,
title = {STUDY OF EXPONENTIAL STABILITY OF A NUMERICAL SOLUTION OF A HYPERBOLIC SYSTEM WITH NEGATIVE NONLOCAL CHARACTERISTIC VELOCITIES AND MEASUREMENT ERROR},
author = {Aloev, R.D. and Berdyshev, A. and Alimova, V. and Алоев, Р.Д. and Бердышев, А. and Алимова, В.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2024},
number = {1},
pages = {122-139},
url = {https://journals.airi.uz/index.php/pvpm/article/view/8}
} |
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