Discrete-space partial dynamic equations on time scales and applications to stochastic processes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F14%3A10283508" target="_blank" >RIV/00216208:11320/14:10283508 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23520/14:43922235
Result on the web
<a href="http://dx.doi.org/10.1016/j.aml.2014.06.002" target="_blank" >http://dx.doi.org/10.1016/j.aml.2014.06.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2014.06.002" target="_blank" >10.1016/j.aml.2014.06.002</a>

Result language
angličtina
Original language name
Discrete-space partial dynamic equations on time scales and applications to stochastic processes
Original language description
We consider a general class of discrete-space linear partial dynamic equations. The basic properties of solutions are provided (existence and uniqueness, sign preservation, maximum principle). Above all, we derive the following main results: first, we prove that the solutions depend continuously on the choice of the time scale. Second, we show that, under certain conditions, the solutions describe probability distributions of nonhomogeneous Markov processes, and that their time integrals remain the samefor all underlying regular time scales.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP201%2F12%2F1757" target="_blank" >GAP201/12/1757: Partial differential equations on continuous-discrete domains</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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