O‘zbekiston matematika jurnali 69-том 3-сан (2025) · 64-72-беттер

The inverse problem of determining the right-hand side of afourth-order differential equation

Durdiev U.D., Odinayev R.R.

Булактан окуу

Аннотация

This article studies the inverse problem of finding a multiplier on the right-hand side, depending on the spatial variable $x$. In the direct problem, an initial-boundary value problem for a fourth-order differential equation is considered. Using the Fourier method, the solution to the initial-boundary value problem is constructed, and its properties are investigated. Sufficient conditions for the existence of a solution to the direct problem are obtained, which will be used in the study of the inverse problem. Theorems on local existence and global uniqueness are proven, and an estimate of the conditional stability of the solution to both the direct and inverse problems is provided.

Inverse problem, existence, uniqueness, Cauchy problem, spectral problem, initial- boundary value problems, Fourier method.

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Цитата алуу

APA 7 
Durdiev U.D. & Odinayev R.R. (2025). The inverse problem of determining the right-hand side of afourth-order differential equation. O‘zbekiston matematika jurnali, 69(3), 64-72.
GOST R 7.0.5 
Durdiev U.D., Odinayev R.R. The inverse problem of determining the right-hand side of afourth-order differential equation // O‘zbekiston matematika jurnali. 2025. Т. 69. № 3. С. 64-72.
BibTeX 
@article{u.d.2025,
  author  = {Durdiev U.D. and Odinayev R.R.},
  title   = {The inverse problem of determining the right-hand side of afourth-order differential equation},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {3},
  pages   = {64-72}
}
RIS 
TY  - JOUR
AU  - Durdiev U.D.
AU  - Odinayev R.R.
TI  - The inverse problem of determining the right-hand side of afourth-order differential equation
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 3
SP  - 64
EP  - 72
ER  -