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    dct:description """
              The thesis addresses optimal control problems where the dynamics is given by differential equations with memory. For these optimization problems, optimality conditions are provided; second order conditions constitute an important part of the results of the thesis. In the case - without memory - of ordinary differential equations, standard optimality conditions are strengthened by involving only the Lagrange multipliers for which Pontryagin's principle is satisfied. This restriction to a subset of multipliers represents a challenge in the establishment of necessary conditions and enables sufficient conditions to assure local optimality in a stronger sense. Standard conditions are on the other hand extended to the case - with memory - of integral equations. Pure state constraints of the previous problem have been kept and require a specific study due to the integral dynamics. Another form of memory in the state equation of an optimal control problem comes from a modeling work with therapeutic optimization as a medical application in view. Cancer cells populations dynamics under the action of a treatment is reduced to delay differential equations; the long time asymptotics of the age-structured model is also studied.
            """ ;
    dct:identifier "NNT: 2013EPXX0054" ;
    dct:issued "2026-05-07T22:53:25.909483"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-07T22:53:25.909486"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Optimal control of differential equations with - or without - memory" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "application-medicale",
        "conditions-doptimalite",
        "controle-optimal",
        "differential-equations-with-memory",
        "dynamique-de-populations",
        "equations-differentielles-avec-memoire",
        "infoeu-reposemanticsdoctoralthesis",
        "mathmath-ocmathematics-mathoptimization-and-control-mathoc",
        "medical-application",
        "optimal-control",
        "optimality-conditions",
        "population-dynamics",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00914246> .

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    dct:issued "2026-05-07T22:53:25.941110"^^xsd:dateTime ;
    dct:modified "2026-05-07T22:53:25.893517"^^xsd:dateTime ;
    dct:title "Optimal control of differential equations with - or without - memory" ;
    dcat:accessURL <https://theses.hal.science/tel-00914246> .

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