We consider the Cauchy problem for a one-dimensional homogeneous system of Hopf-type equations arising in a two-fluid medium. Energy dissipation is assumed to occur solely due to the friction coefficient (analogous to Darcy), and the Cauchy data are given as a finite trigonometric Fourier series. Recurrent systems of ordinary differential equations for the amplitudes of the approximations are obtained. A particular solution to the resulting ODE is constructed.
| Mualliflar | D.A. Erkinova, Х. Х. Имомназаров |
|---|---|
| Jurnal | Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi |
| Nashriyot | Самарқанд давлат университети |
| ISSN | 2091-5446, 2181-1296 |
| Nashr sanasi | 2026-01-01 |
| Jild | 1 |
| Son | 2 |
| Betlar | 153-158 |
| Til | Ingliz |
| DOI | 10.59251/2181-3973.2025.v1.138.1.3837 |
| Indeksga qo‘shilgan | 2026-09-02 |
DOI: 10.59251/2181-3973.2025.v1.138.1.3837 · Maqolaning asl sahifasi
| APA | D.A. Erkinova, & Х. Х. Имомназаров (2026). CAUCHY PROBLEM FOR A HOPF-TYPE SYSTEM. Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(2), 153-158. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3837 |
|---|---|
| GOST (OAK) | D.A. Erkinova, Х. Х. Имомназаров CAUCHY PROBLEM FOR A HOPF-TYPE SYSTEM // Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi. – 2026. – T. 1, № 2. – P. 153-158. – DOI: 10.59251/2181-3973.2025.v1.138.1.3837. |
| MLA | D.A. Erkinova, and Х. Х. Имомназаров. “CAUCHY PROBLEM FOR A HOPF-TYPE SYSTEM.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(2), 153-158, 2026. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3837 |
| Chicago | D.A. Erkinova, and Х. Х. Имомназаров. “CAUCHY PROBLEM FOR A HOPF-TYPE SYSTEM.” Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(2), 153-158 (2026). https://doi.org/10.59251/2181-3973.2025.v1.138.1.3837 |
| Harvard | D.A. Erkinova, and Х. Х. Имомназаров (2026) ‘CAUCHY PROBLEM FOR A HOPF-TYPE SYSTEM’, Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi, 1(2), 153-158. https://doi.org/10.59251/2181-3973.2025.v1.138.1.3837 |
| BibTeX | @article{daerkinova2026,
title = {CAUCHY PROBLEM FOR A HOPF-TYPE SYSTEM},
author = {D.A. Erkinova and Х. Х. Имомназаров},
journal = {Samarqand davlat universiteti ilmiy tadqiqotlar axborotnomasi},
year = {2026},
volume = {1},
number = {2},
pages = {153-158},
doi = {10.59251/2181-3973.2025.v1.138.1.3837},
url = {https://doi.org/10.59251/2181-3973.2025.v1.138.1.3837}
} |
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