In this paper the spectral properties of the nonlocal Samarskii-Ionkin type problems for a fourth-order ordinary differential equation are investigated. The eigenvalues and corresponding eigenfunctions are found and their completeness are studied. The spectral properties of the adjoint problem are also studied. Further, the Riesz basis property of the systems of root functions of these problems is proved.
| Mualliflar | Kadirkulov , B. J., Uzaqbaeva , D. E |
|---|---|
| Jurnal | O‘zbekiston matematika jurnali |
| Nashriyot | Ўзбекистон Республикаси ФА Математика институти |
| ISSN | 2010-7269 |
| Nashr sanasi | 2025-11-03 |
| Jild | 69 |
| Son | 4 |
| Betlar | 141-151 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.29229/uzmj.2025-4-14 |
| Indeksga qo‘shilgan | 2026-08-26 |
DOI: 10.29229/uzmj.2025-4-14 · Maqolaning asl sahifasi
Ionkin-Samarskii type problems; non-self-adjoint problem; eigenvalues and eigenfunctions; completeness; Riesz basis
| APA | Kadirkulov , B. J., & Uzaqbaeva , D. E (2025). The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation. O‘zbekiston matematika jurnali, 69(4), 141-151. https://doi.org/10.29229/uzmj.2025-4-14 |
|---|---|
| GOST (OAK) | Kadirkulov , B. J., Uzaqbaeva , D. E The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation // O‘zbekiston matematika jurnali. – 2025. – T. 69, № 4. – P. 141-151. – DOI: 10.29229/uzmj.2025-4-14. |
| MLA | Kadirkulov , B. J., and Uzaqbaeva , D. E. “The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation.” O‘zbekiston matematika jurnali, 69(4), 141-151, 2025. https://doi.org/10.29229/uzmj.2025-4-14 |
| Chicago | Kadirkulov , B. J., and Uzaqbaeva , D. E. “The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation.” O‘zbekiston matematika jurnali, 69(4), 141-151 (2025). https://doi.org/10.29229/uzmj.2025-4-14 |
| Harvard | Kadirkulov , B. J., and Uzaqbaeva , D. E (2025) ‘The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation’, O‘zbekiston matematika jurnali, 69(4), 141-151. https://doi.org/10.29229/uzmj.2025-4-14 |
| BibTeX | @article{kadirkulovbj2025,
title = {The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation},
author = {Kadirkulov , B. J. and Uzaqbaeva , D. E},
journal = {O‘zbekiston matematika jurnali},
year = {2025},
volume = {69},
number = {4},
pages = {141-151},
doi = {10.29229/uzmj.2025-4-14},
url = {https://doi.org/10.29229/uzmj.2025-4-14}
} |
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