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Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F23%3A00382003" target="_blank" >RIV/68407700:21110/23:00382003 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985840:_____/23:00576359

  • Result on the web

    <a href="https://doi.org/10.1007/s11228-023-00695-y" target="_blank" >https://doi.org/10.1007/s11228-023-00695-y</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/s11228-023-00695-y" target="_blank" >10.1007/s11228-023-00695-y</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Viscous Approximations of Non-Convex Sweeping Processes in the Space of Regulated Functions

  • Original language description

    Vanishing viscosity approximations are considered here for discontinuous sweeping processes with non-convex constraints. It is shown that they are well-posed for sufficiently small viscosity parameters, and that their solutions converge pointwise, as the viscosity parameter tends to zero, to the left-continuous solution to the sweeping process in the Kurzweil integral setting. The convergence is uniform if the input is continuous.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10102 - Applied mathematics

Result continuities

  • Project

    <a href="/en/project/GA20-14736S" target="_blank" >GA20-14736S: Hysteresis modeling in mathematical engineering</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Others

  • Publication year

    2023

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Set-Valued and Variational Analysis

  • ISSN

    1877-0533

  • e-ISSN

    1877-0541

  • Volume of the periodical

    31

  • Issue of the periodical within the volume

    4

  • Country of publishing house

    DE - GERMANY

  • Number of pages

    38

  • Pages from-to

  • UT code for WoS article

    001071574000002

  • EID of the result in the Scopus database

    2-s2.0-85171613488