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Browsing by Subject "factorization"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On solvability of some difference-discrete equations
    (2016) Vasil'ev, Aleksandr Vladimirović; Vasil'ev, Vladimir Borisović
    Multidimensional difference equations in a discrete half-space are considered. Using the theory of periodic Riemann problems a general solution and solvability conditions in discrete Lebesgue spaces are obtained. Some statements of boundary value problems of discrete type are given.
  • thumbnail.journal.alt
    Item type:Thesis, Access status: Restricted ,
    Standard products and factorization of infinite graphs
    (Data obrony: 2011-07-15) Jabłońska-Gos, Justyna
    Wydział Matematyki Stosowanej
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    The reactance wave diffraction problem by a strip in a scale of Bessel potential spaces
    (2006) Castro, Luís P.; Natrošvili, David Georgievič
    We consider a boundary-transmission problem for the Helmholtz equation, in a Bessel potential space setting, which arises within the context of wave diffraction theory. The boundary under consideration consists of a strip, and certain reactance conditions are assumed on it. Operator theoretical methods are used to deal with the problem and, as a consequence, several convolution type operators are constructed and associated to the problem. At the end, the well-posedness of the problem is shown for a range of regularity orders of the Bessel potential spaces, and for a set of possible reactance numbers (dependent on the wave number).