Počet záznamů: 1
Parabolic partial differential equations with discrete state-dependent delay: Classical solutions and solution manifold
- 1.0457879 - ÚTIA 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. E-ISSN 1090-2732
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
Počet záznamů: 1