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Non-local PDEs with discrete state-dependent delays: Well-posedness in a metric space

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F13%3A00381969" target="_blank" >RIV/67985556:_____/13:00381969 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.3934/dcds.2013.33.819" target="_blank" >http://dx.doi.org/10.3934/dcds.2013.33.819</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3934/dcds.2013.33.819" target="_blank" >10.3934/dcds.2013.33.819</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Non-local PDEs with discrete state-dependent delays: Well-posedness in a metric space

  • Original language description

    Partial differential equations with discrete (concentrated) state-dependent delays are studied. The existence and uniqueness of solutions with initial data from a wider linear space is proven first and then a subset of the space of continuously differentiable (with respect to an appropriate norm) functions is used to construct a dynamical system. This subset is an analogue of the solution manifold proposed for ordinary equations in [H.-O. Walther, The solution manifold and C 1-smoothness for differential equations with state- dependent delay, J. Differential Equations, 195(1), (2003) 46?65]. The exis- tence of a compact global attractor is proven. As applications, we consider the well known Mackey-Glass-type equations with diffusion, the Lasota-Wazewska- Czyzewska model, and the delayed diffusive Nicholson?s blowflies equation, all with state-dependent delays.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BC - Theory and management systems

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GAP103%2F12%2F2431" target="_blank" >GAP103/12/2431: Systems described by partial differential equations with delays</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2013

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Discrete and Continuous Dynamical Systems

  • ISSN

    1078-0947

  • e-ISSN

  • Volume of the periodical

    33

  • Issue of the periodical within the volume

    2

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    21

  • Pages from-to

    819-835

  • UT code for WoS article

    000309289900019

  • EID of the result in the Scopus database