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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
 et 
Ioan Ştefan Haplea

Ioan Ştefan Haplea

Department of Internal Medicine, Iuliu Haţieganu University of Medicine and PharmacyRomania
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Haplea, Ioan Ştefan
  
21 sept. 2023
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Publié en ligne: 21 sept. 2023
Pages: 409 - 418
Reçu: 06 nov. 2022
Accepté: 12 avr. 2023
DOI: https://doi.org/10.34768/amcs-2023-0029
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© 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.

Langue:
Anglais
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4 fois par an
Sujets de la revue:
Mathématiques, Mathématiques appliquées
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