Uniqueness of the Adjoint Problem in the Lagrange Sense for a Non-Local Boundary Problem with Complex Parameter

Nihan A. Aliyev; Mahir A. Rasulov; Bahaddin  Si̇nsoysal

doi:10.37256/cm.6320255984

Uniqueness of the Adjoint Problem in the Lagrange Sense for a Non-Local Boundary Problem with Complex Parameter

Authors

Nihan A. Aliyev Faculty of Applied Mathematics and Cybernetics, Baku State University, Baku, Azerbaijan
Mahir A. Rasulov Department of Numerical Modelling of Interlayer Dynamic Processes, Institute of Oil and Gas of ANAS, Baku, Azerbaijan https://orcid.org/0000-0002-8393-2019
Bahaddin Si̇nsoysal Department of Computer Engineering, Istanbul Beykent University, 34396, Sariyer, Istanbul, Turkey https://orcid.org/0000-0003-2926-2744

DOI:

https://doi.org/10.37256/cm.6320255984

Keywords:

boundary value problem with coefficients depending on a complex parameter, adjoint mixed problem, non-local condition

Abstract

The article is devoted to the problem of finding conjugate boundary conditions for a nonlocal conditional problem for a homogeneous ordinary differential equation of the second order, the coefficients of which depend on a complex parameter. The conjugate boundary conditions known in the literature, associated with arbitrary constants, are investigated, and the issue of eliminating arbitrariness in boundary conditions is considered.

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Published

2025-05-16

How to Cite

Aliyev NA, Rasulov MA, Si̇nsoysal B. Uniqueness of the Adjoint Problem in the Lagrange Sense for a Non-Local Boundary Problem with Complex Parameter. Contemp. Math. [Internet]. 2025 May 16 [cited 2026 Jun. 4];6(3):3105-16. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/5984

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Issue

Contemporary Mathematics, Volume 6 Issue 3 (2025), 2726-3845

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.