O‘zbekiston matematika jurnali Volume 70 Issue 1 (2026)

Inverse source problem for a Hopf-type system

Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh., Iskandarov, I.

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Abstract

A one-dimensional inverse problem for a quasilinear hyperbolic system with an unknown excitation source is considered. The Cauchy problem for a nonlinear Hopf-type system is studied. A Fourier transform is used to reduce the inverse problem to a direct problem, and an existence and uniqueness theorem for the solution is proved. The approach used can form the basis for constructing an efficient numerical algorithm for the inverse problem.

Two-velocity hydrodynamicsviscous fluidrelative velocitydirect probleminverse problemDarcy coefficient

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APA 7 
Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh. & Iskandarov, I. (2026). Inverse source problem for a Hopf-type system. O‘zbekiston matematika jurnali, 70(1).
GOST R 7.0.5 
Mukimov, A., Mamasoliyev, B., Imomnazarov, Kh., Iskandarov, I. Inverse source problem for a Hopf-type system // O‘zbekiston matematika jurnali. 2026. Т. 70. № 1.
BibTeX 
@article{a.2026,
  author  = {Mukimov, A. and Mamasoliyev, B. and Imomnazarov, Kh. and Iskandarov, I.},
  title   = {Inverse source problem for a Hopf-type system},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2026},
  volume  = {70},
  number  = {1}
}
RIS 
TY  - JOUR
AU  - Mukimov, A.
AU  - Mamasoliyev, B.
AU  - Imomnazarov, Kh.
AU  - Iskandarov, I.
TI  - Inverse source problem for a Hopf-type system
JO  - O‘zbekiston matematika jurnali
PY  - 2026
VL  - 70
IS  - 1
ER  -