International Journal of applied mathematics and computer science

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Paper details

Number 3 - September 2023
Volume 33 - 2023

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

Lorand Gabriel Parajdi, Radu Precup, Ioan Ştefan Haplea

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.

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