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A Method of Lower and Upper Solutions for Control Problems and Application to a Model of Bone Marrow Transplantation

Lorand Gabriel Parajdi

Lorand Gabriel Parajdi

  • Department of Mathematics, West Virginia UniversityUSA
  • Department of Mathematics, Babeş–Bolyai UniversityRomania
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Parajdi, Lorand Gabriel
, 
Radu Precup

Radu Precup

  • Institute of Advanced Studies in Science and Technology, Babeş–Bolyai UniversityRomania
  • Tiberiu Popoviciu Institute of Numerical Analysis, Romanian AcademyRomania
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Precup, Radu
 and 
Ioan Ştefan Haplea

Ioan Ştefan Haplea

Department of Internal Medicine, Iuliu Haţieganu University of Medicine and PharmacyRomania
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Haplea, Ioan Ştefan
  
Sep 21, 2023
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Published Online: Sep 21, 2023
Page range: 409 - 418
Received: Nov 06, 2022
Accepted: Apr 12, 2023
DOI: https://doi.org/10.34768/amcs-2023-0029
Keywords
© 2023 Lorand Gabriel Parajdi et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

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.

Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Mathematics, Applied Mathematics
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