In this paper, an initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order in a rectangle is formulated and investigated. The method of energy integrals is used to prove the uniqueness of the solution to the problem, and using spectral analysis methods and the Green function, the solution to the considered problem is constructed as the sum of a Fourier series.
| Mualliflar | Karimov , K.T., Oripov, D.D. |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2025-11-03 |
| Jild | 69 |
| Son | 4 |
| Betlar | 152-164 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2025-4-15 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2025-4-15 · Maqolaning asl sahifasi
degenerate equation, initial-boundary value problem, method of separation of variables, spectral problem, Green's function method, integral equation, Fourier series
| APA | Karimov , K.T., & Oripov, D.D. (2025). An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order. O‘zbekiston matematika jurnali, 69(4), 152-164. https://doi.org/10.29229/uzmj.2025-4-15 |
|---|---|
| GOST (OAK) | Karimov , K.T., Oripov, D.D. An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 4. – P. 152-164. – DOI: 10.29229/uzmj.2025-4-15. |
| MLA | Karimov , K.T., and Oripov, D.D. “An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order.” O‘zbekiston matematika jurnali, 69(4), 152-164, 2025. https://doi.org/10.29229/uzmj.2025-4-15 |
| Chicago | Karimov , K.T., and Oripov, D.D. “An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order.” O‘zbekiston matematika jurnali, 69(4), 152-164 (2025). https://doi.org/10.29229/uzmj.2025-4-15 |
| Harvard | Karimov , K.T., and Oripov, D.D (2025) ‘An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order’, O‘zbekiston matematika jurnali, 69(4), 152-164. https://doi.org/10.29229/uzmj.2025-4-15 |
| BibTeX | @article{karimovkt2025,
title = {An initial-boundary value problem with local and nonlocal conditions for a degenerate partial differential equation of high even order},
author = {Karimov , K.T. and Oripov, D.D.},
journal = {O‘zbekiston matematika jurnali},
year = {2025},
volume = {69},
number = {4},
pages = {152-164},
doi = {10.29229/uzmj.2025-4-15},
url = {https://doi.org/10.29229/uzmj.2025-4-15}
} |
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