{"id":5501,"date":"2023-10-03T02:08:14","date_gmt":"2023-10-03T02:08:14","guid":{"rendered":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/?page_id=5501"},"modified":"2025-07-13T12:51:25","modified_gmt":"2025-07-13T12:51:25","slug":"a-method-of-lower-and-upper-solutions-for-control-problems","status":"publish","type":"page","link":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/a-method-of-lower-and-upper-solutions-for-control-problems\/","title":{"rendered":"Article no.10"},"content":{"rendered":"\n

A Method of Lower and Upper Solutions for Control Problems and Application to a Model of Bone Marrow TransplantationResearch Paper, September 24, 2023 \/ Lorand Gabriel Parajdi<\/a><\/p>\n\n\n\n

Published in International Journal of Applied Mathematics and Computer Science (AMCS) 33(3), 409-418,<\/em> DOI: 10.34768\/amcs-2023-0029<\/mark><\/a>,  2023<\/em>.<\/p>\n\n\n\n

\"\"   The full paper is available on the International Journal of Applied Mathematics and Computer Science (AMCS) website: <\/mark><\/strong> https:\/\/intapi.sciendo.com\/pdf\/10.34768\/amcs-2023-0029<\/mark><\/a>   or<\/mark> <\/strong>https:\/\/www.amcs.uz.zgora.pl\/paper-1713<\/mark><\/a><\/p>\n\n\n\n

Authors:<\/mark><\/strong> Lorand Gabriel Parajdi1,2<\/sup>, Radu Precup3,4<\/sup> and Ioan \u0218tefan Haplea5<\/sup> <\/p>\n\n\n\n

<\/a>1 <\/sup>Department of Mathematics, West Virginia University, Morgantown, WV, USA <\/a>2 <\/sup>Department of Mathematics, “Babe\u015f\u2013Bolyai” University, Cluj-Napoca, Romania <\/a>3<\/sup> Institute of Advanced Studies in Science and Technology, “Babe\u0219-Bolyai” University, Cluj-Napoca, Romania <\/a>4 <\/sup>“Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania <\/a>5 <\/sup>Department of Internal Medicine, “Iuliu Ha\u021bieganu” University of Medicine and Pharmacy, Cluj-Napoca, Romania<\/a><\/p>\n\n\n\n

Abstract:<\/mark><\/strong> 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.<\/p>\n\n\n\n

Keywords<\/strong>:<\/mark> control problem; lower and upper solutions; fixed point; approximation algorithm; numerical solution; medical application.<\/p>\n\n\n\n

Cite As:<\/mark><\/strong> Parajdi LG, Precup R, Haplea I\u0218. A method of lower and upper solutions for control problems and application to a model of bone marrow transplantation. International Journal of Applied Mathematics and Computer Science<\/em>. 2023; 33(3): 409-418.<\/p>\n\n\n\n

This work of the first author was supported by the project “The Development of Advanced and Applicative Research Competencies in the Logic of STEAM + Health” (POCU\/993\/6\/13\/153310), a project co-financed by the European Social Fund through the Romanian Operational Programme ‘Human Capital’, 2014-2020. For more details about the project, please visit the project website:<\/strong> https:\/\/sites.euro.ubbcluj.ro\/steam\/<\/mark><\/strong><\/a> .<\/p>\n\n\n\n

References:<\/strong><\/mark><\/p>\n","protected":false},"excerpt":{"rendered":"

A Method of Lower and Upper Solutions for Control Problems and Application to a Model of Bone Marrow TransplantationResearch Paper, September 24, 2023 \/ Lorand Gabriel Parajdi Published in International Journal of Applied Mathematics and Computer Science (AMCS) 33(3), 409-418, DOI: 10.34768\/amcs-2023-0029,  2023.   The full paper is available on the International Journal of Applied Mathematics … Continue reading Article no.10<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/5501"}],"collection":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/comments?post=5501"}],"version-history":[{"count":25,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/5501\/revisions"}],"predecessor-version":[{"id":6017,"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/pages\/5501\/revisions\/6017"}],"wp:attachment":[{"href":"https:\/\/www.cs.ubbcluj.ro\/~lorand\/wp-json\/wp\/v2\/media?parent=5501"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}