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Browsing by Subject "Haar pyramid"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Existence and regularity of solutions for hyperbolic functional differential problems
    (2014) Kamont, Zdzisław
    A generalized Cauchy problem for quasilinear hyperbolic functional differential systems is considered. A theorem on the local existence of weak solutions is proved. The initial problem is transformed into a system of functional integral equations for an unknown function and for their partial derivatives with respect to spatial variables. The existence of solutions for this system is proved by using a method of successive approximations. We show a theorem on the differentiability of solutions with respect to initial functions which is the main result of the paper.
  • thumbnail.journal.alt
    Item type:Thesis, Access status: Restricted ,
    Metoda prostych dla nieliniowych równań różniczkowo-funkcyjnych na piramidzie Haara
    (Data obrony: 2009-06-30) Nabożny, Anna
    Wydział Matematyki Stosowanej
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    On the quasilinear Cauchy problem for a hyperbolic functional differential equation
    (2015) Puźniakowska-Gałuch, Elżbieta
    The Cauchy problem for hyperbolic functional differential equations is considered. Volterra and Fredholm dependence are considered. A theorem on the local existence of generalized solutions defined on the Haar pyramid is proved. A result on differentiability of a solution with respect to initial data is proved.