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An inverse problem for a mixed-type equation in space

https://doi.org/10.25587/2411-9326-2025-4-101-111

Об авторах

K. S Fayazov
Turin Polytechnic University in Tashkent
Узбекистан


D. S. Juraeva
Turin Polytechnic University in Tashkent
Узбекистан


Список литературы

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3. Fayazov K. S. and Khudayberganov Y. K., “Nonlocal boundary value problem for a nonhomogeneous parabolic type equation with two degenerate lines,” Uzb. Math. J., 68, No. 3, 53–65 (2024).

4. Fayazov K. S., Khudayberganov Y. K., and Pyatkov S. G., “Conditional well-posedness of the initial-boundary value problem for a system of inhomogeneous mixed type equations with two degeneration lines,” J. Math. Sci., 274, No. 2, 201–214 (2023).

5. Fayazov K. S. and Khudayberganov Y. K., “Ill-posed boundary-value problem for a system of partial differential equations with two degenerate lines,” J. Sib. Fed. Univ., Math. Phys., 12, No. 3, 392–401 (2019).

6. Fayazov K. S. and Khajiev I. O., “Estimation of conditional stability of the boundary-value problem for the system of parabolic equations with changing direction of time,” Rep. Math. Phys., 88, No. 3 (2021).

7. Fayazov K. S. and Khajiev I. O., “Ill-posed initial-boundary value problem for a system of equations of parabolic type with changing time direction,” Comput. Technol., 22, No. 3, 103–114 (2017).

8. Khajiev I. O., “Conditional correctness and approximate solution of boundary value problem for the system of second order mixed-type equations,” J. Sib. Fed. Univ., Math. Phys., 11, No. 2, 231–241 (2018).

9. Khajiev I. O. and Khudayberganov Y. K., “Conditional stability and regularizations of an initial-boundary value problem for a system of parabolic type equations with two degeneration lines,” AIP Conf. Proc., 3119, No. 1, 030004 (2024).

10. Kozhanov A. I., “Nonlinear loaded equations and inverse problems,” J. Comput. Math. Math. Phys., 44, No. 4, 722–744 (2004).

11. Kaliev I. A., Mugafarov M. F., and Fattahova O. V., “Inverse problem for forward backward parabolic equation with generalized conjugation conditions,” Ufim. Math. J., 3, No. 2, 33–41 (2011).

12. Bubnov B. A., “Existence and uniqueness of solutions of inverse problems for parabolic and elliptic equations,” in: Non-Classical Equations of Mathematical Physics, pp. 25–29, Izdat. Inst. Mat., Novosibirsk (1986).

13. Pyatkov S. G., “Properties of eigenfunctions of a certain spectral problem and their applications [in Russian],” in: Some Applications of Functional Analysis to Equations of Mathematical Physics, pp. 65–84, Inst. Mat., Novosibirsk (1986).

14. Beals R., “Partial-range completeness and existence of solutions to two-way diffusion equation,” J. Math. Phys., 32, No. 3, 565–584 (1983).


Рецензия

Для цитирования:


Fayazov K.S., Juraeva D.S. An inverse problem for a mixed-type equation in space. Математические заметки СВФУ. 2025;32(4):101-111. https://doi.org/10.25587/2411-9326-2025-4-101-111

For citation:


Fayazov K.S., Juraeva D.S. An inverse problem for a mixed-type equation in space. Mathematical notes of NEFU. 2025;32(4):101-111. https://doi.org/10.25587/2411-9326-2025-4-101-111

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ISSN 2411-9326 (Print)
ISSN 2587-876X (Online)