O‘zbekiston matematika jurnali Volume 69 Issue 4 (2025) · pp. 141-151

The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation

Kadirkulov, B. J., Uzaqbaeva, D. E

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Abstract

In this paper the spectral properties of the nonlocal Samarskii-Ionkin type problems for a fourth-order ordinary differential equation are investigated. The eigenvalues and corresponding eigenfunctions are found and their completeness are studied. The spectral properties of the adjoint problem are also studied. Further, the Riesz basis property of the systems of root functions of these problems is proved.

Ionkin-Samarskii type problems; non-self-adjoint problem; eigenvalues and eigenfunctions; completeness; Riesz basis

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Cite

APA 7 
Kadirkulov, B. J. & Uzaqbaeva, D. E (2025). The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation. O‘zbekiston matematika jurnali, 69(4), 141-151.
GOST R 7.0.5 
Kadirkulov, B. J., Uzaqbaeva, D. E The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation // O‘zbekiston matematika jurnali. 2025. Т. 69. № 4. С. 141-151.
BibTeX 
@article{j.2025,
  author  = {Kadirkulov, B. J. and Uzaqbaeva, D. E},
  title   = {The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation},
  journal = {O‘zbekiston matematika jurnali},
  year    = {2025},
  volume  = {69},
  number  = {4},
  pages   = {141-151}
}
RIS 
TY  - JOUR
AU  - Kadirkulov, B. J.
AU  - Uzaqbaeva, D. E
TI  - The Samarskii-Ionkin type problem for the fourth-order ordinary differential equation
JO  - O‘zbekiston matematika jurnali
PY  - 2025
VL  - 69
IS  - 4
SP  - 141
EP  - 151
ER  -