ISSIQLIK TENGLAMASIDAN CHEGARAVIY FUNKSIYANI ANIQLASHNING TERSKARI MASALASI

Authors

  • Rahimov Doniyor G‘ofurovich Author
  • Otayeva Nilufar Navro‘zova Author

Keywords:

issiqlik tenglamasi, teskari masala, chegaraviy funksiya, regulyarizatsiya, noaniq masala.

Abstract

Maqolada issiqlik o‘tkazuvchanlik tenglamasi uchun chegaraviy funksiyani aniqlashga oid teskari masala ko‘rib chiqiladi. To‘g‘ri masalada chegaraviy va boshlang‘ich shartlar berilgan holda harorat taqsimoti aniqlansa, teskari masalada ichki yoki yakuniy vaqtdagi ma’lumotlar asosida noma’lum chegaraviy funksiya tiklanadi. Masalaning qo‘yilishi, uning noaniqligi (ill-posedligi), yechimning mavjudligi va yagonaligi masalalari tahlil qilinadi. Shuningdek, masalani regulyarizatsiya qilish usullari va amaliy ahamiyati muhokama etiladi.

References

1. Tikhonov A.N., Arsenin V.Y. Solutions of Ill-Posed Problems. Wiley, New York, 1977.

2. Lavrentiev M.M., Romanov V.G., Shishatskii S.P. Ill-Posed Problems of Mathematical Physics and Analysis. AMS, 1986.

3. Cannon J.R. The One-Dimensional Heat Equation. Addison-Wesley, 1984.

4. Isakov V. Inverse Problems for Partial Differential Equations. Springer, 2006.

5. Romanov V.G. Inverse Problems of Mathematical Physics. VNU Science Press, 1987.

6. Denisov A.M. Introduction to the Theory of Inverse Problems. Moscow State University, 1994.

Published

2026-01-21

How to Cite

[1]
2026. ISSIQLIK TENGLAMASIDAN CHEGARAVIY FUNKSIYANI ANIQLASHNING TERSKARI MASALASI. Ustozlar uchun. 88, 2 (Jan. 2026), 58–61.