Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00377979" target="_blank" >RIV/67985556:_____/12:00377979 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Local Properties of Solutions to Non-Autonomous Parabolic PDEs with State-Dependent Delays

Original language description

A wide class of non-autonomous nonlinear parabolic partial differential equations with delay is studied. We allow in our investigations different types of delays such as constant, time- dependent, state-dependent (both discrete and distributed) to be presented simultaneously. The main difficulties arise due to the presence of discrete state-dependent delays since the nonlinear delay term is not Lipschitz on the space of continuous functions. We ?nd conditions for the local existence, uniqueness and study the invariance principle.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BC - Theory and management systems

OECD FORD branch

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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

Publication year

2012

Confidentiality

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

Name of the periodical

Journal of Abstract Differential Equations and Applications

ISSN

2158-611X

e-ISSN

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Volume of the periodical

2

Issue of the periodical within the volume

2

Country of publishing house

US - UNITED STATES

Number of pages

16

Pages from-to

56-71

UT code for WoS article

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EID of the result in the Scopus database

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