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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 same for all underlying regular time scales.
  • 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 same for all underlying regular time scales. (en)
Title
  • Discrete-space partial dynamic equations on time scales and applications to stochastic processes
  • Discrete-space partial dynamic equations on time scales and applications to stochastic processes (en)
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  • Discrete-space partial dynamic equations on time scales and applications to stochastic processes
  • Discrete-space partial dynamic equations on time scales and applications to stochastic processes (en)
skos:notation
  • RIV/00216208:11320/14:10283508!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GAP201/12/1757)
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  • November
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  • 11699
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  • RIV/00216208:11320/14:10283508
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  • continuous dependence; nonhomogeneous Markov process; stochastic process; partial dynamic equations; time scales (en)
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  • US - Spojené státy americké
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  • [68266975F246]
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  • Applied Mathematics Letters
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  • 37
http://linked.open...iv/tvurceVysledku
  • Stehlík, Petr
  • Slavík, Antonín
  • Friesl, Michal
http://linked.open...ain/vavai/riv/wos
  • 000340219500016
issn
  • 0893-9659
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.aml.2014.06.002
http://localhost/t...ganizacniJednotka
  • 11320
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