Work

Nagumo-type viability theorem for nonlocal balance equation

Year: 2024

Type: article

Abstract: 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.

Source: Izvestiya Instituta Matematiki i Informatiki Udmurt Gos Univ

DOI: 10.35634/2226-3594-2024-64-01

Author: Yu.V. Averboukh

Institution: N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404705180

FWCI: 0.781

Cites:

Cited by: 1

Related to: 10