Geodesic
Nagumo-type viability theorem for nonlocal balance equation
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 64 (2024), pp. 3-16

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The main object of the paper is a nonlocal balance equation that describes an evolution of a system of infinitely many identical particles those move according to a vector field and can also disappear or give a spring. For such system we examine the viability property that means that the systems starting inside a given set of measures does not leave this set. We prove an analog of the Nagumo-type viability theorem that gives the equivalent form of the viability property in the terms of the tangent cone.
Keywords: viability theorem, space of nonnegative measures
Mots-clés : balance equation, tangent cone 
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     title = {Nagumo-type viability theorem for nonlocal balance equation},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
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Y. V. Averboukh. Nagumo-type viability theorem for nonlocal balance equation. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 64 (2024), pp. 3-16. http://geodesic.mathdoc.fr/item/IIMI_2024_64_a0/