Mathematical models of many applied problems lead to the need to solve interiorboundary value problems for partial differential equations. The problem under study belongs to the class of ill-posed problems in mathematical physics. The issue of small denominators arises; the existence and uniqueness of the solution depend on the numerical properties of the problem data. Theorems on the uniqueness of the solution and its conditional stability on the well-posedness set are proven, a priori estimates for the solution are obtained, and approximate solutions are constructed using the regularization method. The development of approximate methods for their solution is based on the construction and analysis of numerical methods for solving problems with interior and boundary data for the basic (fundamental, model) equations of mathematical physics.
| Mualliflar | Fayazov, K.S., Abdullaeva, Z.Sh., Фаязов, К.С., Абдуллаева, З.Ш. |
|---|---|
| Jurnal | Ҳисоблаш ва амалий математика муаммолари |
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
| ISSN | 2181-8460, 2181-046X |
| Nashr sanasi | 2025-11-16 |
| Son | 5 |
| Betlar | 86-101 |
| Til | Ingliz |
| Ilmiy soha | Fizika-matematika |
| DOI | 10.71310/pcam.5_69.2025.07 |
| Indeksga qo‘shilgan | 2026-08-27 |
DOI: 10.71310/pcam.5_69.2025.07 · Maqolaning asl sahifasi
ill-posed problem, mixed type, inverse problem, uniqueness, system of equations, некорректная задача, смешанный тип, обратная задача, единственность, система уравнений
| APA | Fayazov, K.S., Abdullaeva, Z.Sh., Фаязов, К.С., & Абдуллаева, З.Ш. (2025). Interior Boundary Value Problem for a System of Second-Order Mixed-Type Equations. Ҳисоблаш ва амалий математика муаммолари, (5), 86-101. https://doi.org/10.71310/pcam.5_69.2025.07 |
|---|---|
| GOST (OAK) | Fayazov, K.S. va b. Interior Boundary Value Problem for a System of Second-Order Mixed-Type Equations // Ҳисоблаш ва амалий математика муаммолари. – 2025. – № 5. – P. 86-101. – DOI: 10.71310/pcam.5_69.2025.07. |
| MLA | Fayazov, K.S., Abdullaeva, Z.Sh., Фаязов, К.С., and Абдуллаева, З.Ш. “Interior Boundary Value Problem for a System of Second-Order Mixed-Type Equations.” Ҳисоблаш ва амалий математика муаммолари, (5), 86-101, 2025. https://doi.org/10.71310/pcam.5_69.2025.07 |
| Chicago | Fayazov, K.S., Abdullaeva, Z.Sh., Фаязов, К.С., and Абдуллаева, З.Ш. “Interior Boundary Value Problem for a System of Second-Order Mixed-Type Equations.” Ҳисоблаш ва амалий математика муаммолари, (5), 86-101 (2025). https://doi.org/10.71310/pcam.5_69.2025.07 |
| Harvard | Fayazov, K.S., Abdullaeva, Z.Sh., Фаязов, К.С., and Абдуллаева, З.Ш (2025) ‘Interior Boundary Value Problem for a System of Second-Order Mixed-Type Equations’, Ҳисоблаш ва амалий математика муаммолари, (5), 86-101. https://doi.org/10.71310/pcam.5_69.2025.07 |
| BibTeX | @article{fayazovks2025,
title = {Interior Boundary Value Problem for a System of Second-Order Mixed-Type Equations},
author = {Fayazov, K.S. and Abdullaeva, Z.Sh. and Фаязов, К.С. and Абдуллаева, З.Ш.},
journal = {Ҳисоблаш ва амалий математика муаммолари},
year = {2025},
number = {5},
pages = {86-101},
doi = {10.71310/pcam.5_69.2025.07},
url = {https://doi.org/10.71310/pcam.5_69.2025.07}
} |
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