A one-dimensional inverse problem for a quasilinear hyperbolic system with an unknown excitation source is considered. The Cauchy problem for a nonlinear Hopf-type system is studied. A Fourier transform is used to reduce the inverse problem to a direct problem, and an existence and uniqueness theorem for the solution is proved. The approach used can form the basis for constructing an efficient numerical algorithm for the inverse problem.
| Mualliflar | Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh., Iskandarov, I. |
|---|---|
| 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.2026-1-15 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-1-15 · Maqolaning asl sahifasi
Two-velocity hydrodynamics, viscous fluid, relative velocity, direct problem, inverse problem, Darcy coefficient
| APA | Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh., & Iskandarov, I. (2026). Inverse source problem for a Hopf-type system. O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-15 |
|---|---|
| GOST (OAK) | Mukimov, A. va b. Inverse source problem for a Hopf-type system // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 1. – DOI: 10.29229/uzmj.2026-1-15. |
| MLA | Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh., and Iskandarov, I. “Inverse source problem for a Hopf-type system.” O‘zbekiston matematika jurnali, 70(1), 2026. https://doi.org/10.29229/uzmj.2026-1-15 |
| Chicago | Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh., and Iskandarov, I. “Inverse source problem for a Hopf-type system.” O‘zbekiston matematika jurnali, 70(1) (2026). https://doi.org/10.29229/uzmj.2026-1-15 |
| Harvard | Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh., and Iskandarov, I (2026) ‘Inverse source problem for a Hopf-type system’, O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-15 |
| BibTeX | @article{mukimova2026,
title = {Inverse source problem for a Hopf-type system},
author = {Mukimov, A. and Mamasoliyev, B. and Imomnazarov, Kh. and Iskandarov, I.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {1},
doi = {10.29229/uzmj.2026-1-15},
url = {https://doi.org/10.29229/uzmj.2026-1-15}
} |
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