On the existence and uniqueness of a positive solution to a boundary value problem for one nonlinear functional differential equation of third order
UDC
517.927.4DOI:
https://doi.org/10.31429/vestnik-21-2-6-13Abstract
The boundary value problem is considered
where
Using the Green's function and Krasnoselsky's fixed point theorem, we formulate and prove the existence of positive solutions to the above boundary value problem for a third-order nonlinear functional differential equation. Next, in the sublinear case, using the fixed point principle, we establish the uniqueness of a positive solution to the problem under study. In addition, an example is given to illustrate the results obtained.
Keywords:
positive solution, boundary value problem, cone, Green's functionFunding information
The study did not have sponsorship.
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Dates
Submitted
March 26, 2024
Accepted
March 28, 2024
Published
June 28, 2024
How to Cite
[1]
Abduragimov, G.E., On the existence and uniqueness of a positive solution to a boundary value problem for one nonlinear functional differential equation of third order. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2024, т. 21, № 2, pp. 6–13. DOI: 10.31429/vestnik-21-2-6-13
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Copyright (c) 2024 Абдурагимов Г.Э.
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