A method of lower and upper solutions for control problems and application to a model of bone marrow transplantation and application to a model of bone marrow transplantation


A lower and upper solution method is introduced for control problems related to abstract operator equations. The method is illustrated on a control problem for the Lotka–Volterra model with seasonal harvesting and applied to a control problem of cell evolution after bone marrow transplantation.


Lorand Gabriel Parajdi
Department of Mathematics West Virginia University P.O. Box 6201, Morgantown, WV 26506, USA e-mail: lorand.parajdi@mail.wvu.edu
Department of Mathematics Babes–Bolyai University M. Kogalniceanu, Cluj-Napoca, Romania

Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Ioan-Stefan Haplea
Department of Internal Medicine Iuliu Hatieganu University of Medicine and Pharmacy Victor Babes Street, Cluj-Napoca, Romania


control problem, lower and upper solutions, fixed point, approximation algorithm, numerical solution, medical application.

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L.G. Parajdi, R. Precup, I.-S. Haplea, A method of lowert and upper solutions for control problems and application to a model of bone Marrow transplantation, Int. J. Appl. Math. Comput. Sci., 33 (2023) no. 3, 409–418, http://doi.org/10.34768/amcs-2023-0029


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Int. J. Appl. Math. Comput. Sci.

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Sciendo (Walter de Gruyter)

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