Počet záznamů: 1  

Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold

  1. 1.
    0457879 - UTIA-B 2017 RIV US eng J - Článek v odborném periodiku
    Krisztin, T. - Rezunenko, Oleksandr
    Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold.
    Journal of Differential Equations. Roč. 260, č. 5 (2016), s. 4454-4472. ISSN 0022-0396
    Grant CEP: GA ČR GAP103/12/2431
    Institucionální podpora: RVO:67985556
    Klíčová slova: Parabolic partial differential equations * State dependent delay * Solution manifold
    Kód oboru RIV: BC - Teorie a systémy řízení
    Impakt faktor: 1.988, rok: 2016
    http://library.utia.cas.cz/separaty/2016/AS/rezunenko-0457879.pdf

    Classical solutions to PDEs with discrete state-dependent delay are studied. We prove the well-posedness in a set XF which is analogous to the solution manifold used for ordinary differential equations with statedependent delay. We prove that the evolution operators are C1-smooth on the solution manifold.
    Trvalý link: http://hdl.handle.net/11104/0258401