Turkish Journal of Mathematics
Author ORCID Identifier
HANLAR REŞİDOĞLU (KHANLAR R. MAMEDOV): 0000-0002-3283-9535
TURSUN YULDASHEV: 0000-0002-9346-5362
ZHOLDOSHBEK SHERMAMATOV: 0009-0002-1325-0044
Abstract
This paper investigates an inverse optimal control problem for a pseudoparabolic equation governed by nonlinear control function in a two-point boundary condition. The differential equation is considered under Samarskii Ionkin-type boundary value conditions with respect to the spatial variable x. Necessary optimality conditions are derived, and the associated nonlinear functional equations are analyzed. Using the contraction mapping principle, the existence and uniqueness of the control function are established. Subsequently, the redefinition function and the state function are determined. The convergence of their respective Fourier series representations is rigorously proven.
DOI
10.55730/1300-0098.3661
Keywords
Pseudoparabolic equation, Samarskii-Ionkin-type conditions, additional inverse condition, Fourier series, optimal control, existence and uniqueness theorems
First Page
439
Last Page
457
Publisher
The Scientific and Technological Research Council of Türkiye (TÜBİTAK)
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
REŞİDOĞLU (KHANLAR R. MAMEDOV), H, YULDASHEV, T. K, & SHERMAMATOV, Z. Z (2026). Optimal control of an inverse two-point boundary value problem for a pseudoparabolic equation with Samarskii–Ionkin-type boundary conditions. Turkish Journal of Mathematics 50 (3): 439-457. https://doi.org/10.55730/1300-0098.3661
