This work is devoted to study pursuit problems involving multiple pursuers and a single evader, all moving on the 1-skeleton graph of the dodecahedron. Solutions to the pursuit problems are provided, where the maximum speeds of the pursuers are less than the maximum speed of the evader. Conditions for the maximum speeds of the pursuers are obtained and a strategy for the pursuers to capture the evader is presented.
| Mualliflar | Ibaydullaev, T., Ibragimov, G., Holboyev, A., Muxammadjonov, A. |
|---|---|
| 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.2026-1-7 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2026-1-7 · Maqolaning asl sahifasi
Differential game, pursuers, evader, pursuit problem, 1-skeleton graph of the dodecahedron, slow evaders, number of pursuers
| APA | Ibaydullaev, T., Ibragimov, G., Holboyev, A., & Muxammadjonov, A. (2026). Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron. O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-7 |
|---|---|
| GOST (OAK) | Ibaydullaev, T. va b. Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron // O‘zbekiston matematika jurnali. – 2026. – T. 70, № 1. – DOI: 10.29229/uzmj.2026-1-7. |
| MLA | Ibaydullaev, T., Ibragimov, G., Holboyev, A., and Muxammadjonov, A. “Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron.” O‘zbekiston matematika jurnali, 70(1), 2026. https://doi.org/10.29229/uzmj.2026-1-7 |
| Chicago | Ibaydullaev, T., Ibragimov, G., Holboyev, A., and Muxammadjonov, A. “Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron.” O‘zbekiston matematika jurnali, 70(1) (2026). https://doi.org/10.29229/uzmj.2026-1-7 |
| Harvard | Ibaydullaev, T., Ibragimov, G., Holboyev, A., and Muxammadjonov, A (2026) ‘Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron’, O‘zbekiston matematika jurnali, 70(1). https://doi.org/10.29229/uzmj.2026-1-7 |
| BibTeX | @article{ibaydullaevt2026,
title = {Differential game with slow pursuers on the 1-skeleton graph of the dodecahedron},
author = {Ibaydullaev, T. and Ibragimov, G. and Holboyev, A. and Muxammadjonov, A.},
journal = {O‘zbekiston matematika jurnali},
year = {2026},
volume = {70},
number = {1},
doi = {10.29229/uzmj.2026-1-7},
url = {https://doi.org/10.29229/uzmj.2026-1-7}
} |
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